Tesis sobre el tema "Numerical calculu"
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Abdelsheed, Ismail Gad Ameen. "Fractional calculus: numerical methods and SIR models". Doctoral thesis, Università degli studi di Padova, 2016. http://hdl.handle.net/11577/3422267.
Texto completoIl calcolo frazionario e` ”the theory of integrals and derivatives of arbitrary order, which unify and generalize the notions of integer-order differentiation and n-fold integration”. L’ idea di generalizzare operatori differenziali ad un ordine non intero, in particolare di ordine 1/2, compare per la prima volta in una corrispondenza di Leibniz con L’Hopital (1695), Johann Bernoulli (1695), e John Wallis (1697), come una semplice domanda o forse un gioco di pensieri. Nei successive trecento anni molti matematici hanno contribuito al calcolo frazionario: Laplace (1812), Lacroix (1812), di Fourier (1822), Abel (1823-1826), Liouville (1832-1837), Riemann (1847), Grunwald (1867-1872), Letnikov (1868-1872), Sonin (1869), Laurent (1884), Heaviside (1892-1912), Weyl (1917), Davis (1936), Erde`lyi (1939-1965), Gelfand e Shilov (1959-1964), Dzherbashian (1966), Caputo (1969), e molti altri. Eppure, è solo dopo la prima conferenza sul calcolo frazionario e le sue applicazioni che questo tema diventa una delle le aree più intensamente studiate dell’analisi matematica. Recentemente, molti matematici e ingegneri hanno cercato di modellare i processi reali utilizzando il calcolo frazionario. Questo a causa del fatto che spesso, la modellazione realistica di un fenomeno fisico non è locale nel tempo, ma dipende anche dalla storia, e questo comportamento può essere ben rappresentato attraverso modelli basati sul calcolo frazionario. In altre parole, la definizione dei derivata frazionaria fornisce un eccellente strumento per la modellazione della memoria e delle proprietà ereditarie di vari materiali e processi.
Baladron, Pezoa Javier. "Exploring the neural codes using parallel hardware". Phd thesis, Université Nice Sophia Antipolis, 2013. http://tel.archives-ouvertes.fr/tel-00847333.
Texto completoSimpson, Arthur Charles. "Numerical methods for the solution of fractional differential equations". Thesis, University of Liverpool, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.250281.
Texto completoSouza, João Artur de. "Calculo numerico da exponencial de uma matriz". reponame:Repositório Institucional da UFSC, 1993. http://repositorio.ufsc.br/xmlui/handle/123456789/75933.
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A importância em resolver a Equação Diferencial x'(t) = Ax(t)
Farah, Jad. "Amélioration des mesures anthroporadiamétriques personnalisées assistées par calcul Monte Carlo : optimisation des temps de calculs et méthodologie de mesure pour l’établissement de la répartition d’activité". Thesis, Paris 11, 2011. http://www.theses.fr/2011PA112183/document.
Texto completoTo optimize the monitoring of female workers using in vivo spectrometry measurements, it is necessary to correct the typical calibration coefficients obtained with the Livermore male physical phantom. To do so, numerical calibrations based on the use of Monte Carlo simulations combined with anthropomorphic 3D phantoms were used. Such computational calibrations require on the one hand the development of representative female phantoms of different size and morphologies and on the other hand rapid and reliable Monte Carlo calculations. A library of female torso models was hence developed by fitting the weight of internal organs and breasts according to the body height and to relevant plastic surgery recommendations. This library was next used to realize a numerical calibration of the AREVA NC La Hague in vivo counting installation. Moreover, the morphology-induced counting efficiency variations with energy were put into equation and recommendations were given to correct the typical calibration coefficients for any monitored female worker as a function of body height and breast size. Meanwhile, variance reduction techniques and geometry simplification operations were considered to accelerate simulations.Furthermore, to determine the activity mapping in the case of complex contaminations, a method that combines Monte Carlo simulations with in vivo measurements was developed. This method consists of realizing several spectrometry measurements with different detector positioning. Next, the contribution of each contaminated organ to the count is assessed from Monte Carlo calculations. The in vivo measurements realized at LEDI, CIEMAT and KIT have demonstrated the effectiveness of the method and highlighted the valuable contribution of Monte Carlo simulations for a more detailed analysis of spectrometry measurements. Thus, a more precise estimate of the activity distribution is given in the case of an internal contamination
Kimeu, Joseph M. "Fractional Calculus: Definitions and Applications". TopSCHOLAR®, 2009. http://digitalcommons.wku.edu/theses/115.
Texto completoTavares, Dina dos Santos. "Fractional calculus of variations". Doctoral thesis, Universidade de Aveiro, 2017. http://hdl.handle.net/10773/22184.
Texto completoO cálculo de ordem não inteira, mais conhecido por cálculo fracionário, consiste numa generalização do cálculo integral e diferencial de ordem inteira. Esta tese é dedicada ao estudo de operadores fracionários com ordem variável e problemas variacionais específicos, envolvendo também operadores de ordem variável. Apresentamos uma nova ferramenta numérica para resolver equações diferenciais envolvendo derivadas de Caputo de ordem fracionária variável. Consideram- -se três operadores fracionários do tipo Caputo, e para cada um deles é apresentada uma aproximação dependendo apenas de derivadas de ordem inteira. São ainda apresentadas estimativas para os erros de cada aproximação. Além disso, consideramos alguns problemas variacionais, sujeitos ou não a uma ou mais restrições, onde o funcional depende da derivada combinada de Caputo de ordem fracionária variável. Em particular, obtemos condições de otimalidade necessárias de Euler–Lagrange e sendo o ponto terminal do integral, bem como o seu correspondente valor, livres, foram ainda obtidas as condições de transversalidade para o problema fracionário.
The calculus of non–integer order, usual known as fractional calculus, consists in a generalization of integral and differential integer-order calculus. This thesis is devoted to the study of fractional operators with variable order and specific variational problems involving also variable order operators. We present a new numerical tool to solve differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one of them, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided. Furthermore, we consider variational problems subject or not to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, we establish necessary optimality conditions of Euler–Lagrange. As the terminal point in the cost integral, as well the terminal state, are free, thus transversality conditions are obtained.
Banks, Nicola E. "Insights from the parallel implementation of efficient algorithms for the fractional calculus". Thesis, University of Chester, 2015. http://hdl.handle.net/10034/613841.
Texto completoCairo, Giuseppe. "Curve di Bezier e Calcolo Numerico". Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2012. http://amslaurea.unibo.it/4463/.
Texto completoLa, Monaca Liliana. "Calcolo numerico ed esplorazioni con geogebra". Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/8771/.
Texto completoEsteghamatian, Amir. "Calcul haute performance pour la simulation multi-échelles des lits fluidisés". Thesis, Lyon, 2016. http://www.theses.fr/2016LYSEC037/document.
Texto completoFluidized beds are a particular hydrodynamic configuration in which a pack (either dense or loose) of particles laid inside a container is re-suspended as a result of an upward oriented imposed flow at the bottom of the pack. This kind of system is widely used in the chemical engineering industry where catalytic cracking or polymerization processes involve chemical reactions between the catalyst particles and the surrounding fluid and fluidizing the bed is admittedly beneficial to the efficiency of the process. Due to the wide range of spatial scales and complex features of solid/solid and solid/fluid interactions in a dense fluidized bed, the system can be studied at different length scales, namely micro, meso and macro. In this work we focus on micro/meso simulations of fluidized beds. The workflow we use is based on home made high-fidelity numerical tools: GRAINS3D (Pow. Tech., 224:374-389, 2012) for granular dynamics of convex particles and PeliGRIFF (Parallel Efficient LIbrary for GRains In Fluid Flows, Comp. Fluids, 38(8):1608-1628,2009) for reactive fluid/solid flows. The objectives of our micro/meso simulations of such systems are two-fold: (i) to understand the multi-scale features of the system from a hydrodynamic standpoint and (ii) to analyze the performance of our meso-scale numerical model and to improve it accordingly. To this end, we first perform Particle Resolved Simulations (PRS) of liquid/solid and gas/solid fluidization of a 2000 particle system. The accuracy of the numerical results is examined by assessing the space convergence of the computed solution in order to guarantee that our PRS results can be reliably considered as a reference solution for this problem. The computational challenge for our PRS is a combination of a fine mesh to properly resolve all flow length scales to a long enough physical simulation time in order to extract time converged statistics. For that task, High Performance Computing and highly parallel codes as GRAINS3D/PeliGRIFF are extremely helpful. Second, we carry out a detailed cross-comparison of PRS results with those of locally averaged Euler- Lagrange simulations. Results show an acceptable agreement between the micro- and meso-scale predictions on the integral measures as pressure drop, bed height, etc. However, particles fluctuations are remarkably underpredicted by the meso-scale model, especially in the direction transverse to the main flow. We explore different directions in the improvement of the meso-scale model, such as (a) improving the inter-phase coupling scheme and (b) introducing a stochastic formulation for the drag law derived from the PRS results. We show that both improvements (a) and (b) are required to yield a satisfactory match of meso-scale results with PRS results. The new stochastic drag law, which incorporates information on the first and second-order moments of the PRS results, shows promises to recover the appropriate level of particles fluctuations. It now deserves to be validated on a wider range of flow regimes
Hoffmann, João Nelson. "Simulação numerica para o calculo de campos eletricos em dominios ilimitados". [s.n.], 1993. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306350.
Texto completoDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica
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Resumo: Um novo tratamento matemático é proposto ao método híbrido de simulação de cargas e diferenças finitas para o cálculo de campos eletrostáticos em domínios ilimitados, também aplicável ao método híbrido similar de simulação de cargas e elementos finitos. O problema de simulação de cargas é tratado com técnicas de quadrados mínimos, utilizando a decomposição QR da matriz retangular resultante, e o método de Gram-Schmidt clássico ou modificado. Para a resolução do problema de diferenças finitas é proposto o método dos Gradientes Conjugados Quadráticos com précondicionamento, incluindo as necessárias técnicas de esparsidade. o sistema acoplado de equações lineares é resolvido utilizando resultados da teoria do ponto fixo. São propostas ainda novas discretizações de conduzem condições contorno, que para as resultados mais precisos. Exemplos de aplicação são inclusos, com avaliação de resultados.
Abstract: A new mathematical treatment is proposed to the hybrid method of charge simulation and finite differences for the computation of unbounded electrostatic fields, also applicable to the similar hybrid method of charge simulation and finite elements. The charge simulation problem is solved by making use of the least squares technique, including the QR decomposition of the resulting rectangular matrix, and the classical or the modified Gram-Schmidt method. The Conjugate Gradient Squared method with a preconditioning technique is proposed for the solution of the finite difference problem, which is stored in the computer with adequate sparsity techniques. The resulting coupled system of linear equations is solved by making use of some results of the fixed point theory. New procedures are also suggested for the discretization of the boundary conditions, which lead to results of increased precision. Case studies are included and the results are analysed.
Mestrado
Mestre em Matemática Aplicada
Fordred, Gordon Ian. "An application of the Malliavin calculus in finance". Diss., Pretoria : [s.n.], 2009. http://upetd.up.ac/thesis/available/etd-07062009-123751.
Texto completoBerteletti, Ilaria A. "Varieties of Numerical Representations". Doctoral thesis, Università degli studi di Padova, 2008. http://hdl.handle.net/11577/3426392.
Texto completoGirometti, Laura. "Metodi numerici per il calcolo del Pagerank". Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18785/.
Texto completoSarti, Francesca. "Mini-system: un software di calcolo numerico". Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/8297/.
Texto completoSarno, Giorgio. "A numerical approach to spin foam models of quantum gravity". Thesis, Aix-Marseille, 2020. http://www.theses.fr/2020AIXM0231.
Texto completoSpin foam models provide a Lorentz-covariant definition of the dynamics of loop quantum gravity. They offer a background-independent and non-perturbative quantization of gravity, and in their semiclassical limit, they are related to discretized General Relativity. However, the analytic complexity of the models is such that key questions concerning their theoretical consistency and physical predictions are still open. In this thesis, I introduce a systematic framework to perform numerical computations in this domain, to go beyond the limitations of the analytical techniques. The thesis contains an introduction to spin foam theories from a theoretical and a numerical standpoint, in particular to the EPRL model. I then present four of the six papers I published during my Ph.D., where the numerical framework was used to study critical open problems in the field. These include the numerical study of the semiclassical limit of a 4-simplex, recovering its Regge action and confirming known analytical computations ; a study of non-simplicial spin foams to offer an insight into the continuum limit of the theory ; a new approach to investigate extended triangulations and their semiclassical limit. Applied to a particular transition amplitude, the new approach allowed me to recover geometrical configurations compatible with curved boundary data, and to argue against an important dispute in the literature referred to as flatness problem. These results open a window for calculations in spin foam theories and they provide a new path to address their still unresolved questions
Soni, Vineet. "Parallel Adaptive Multiscale Numerical Methods for Complex Compressible Flows". Rouen, 2016. http://www.theses.fr/2016ROUES062.
Texto completoThe challenges of real world problems with respect to perform high–fidelity numerical simulations of large–scale computations inflict a huge computational hurdle due to the necessity of handling complex multiscale problems. To address this issue, a wavelet based adaptive point–value multiresolution (MR) method is developed, which dynamically adjusts the grid resolution, hence enabling to capture small–scale flow details while preserving the local accuracy of the solution. Moreover, in order to take advantage of the most prevalent supercomputers, three new parallel load–balancing algorithms are tailored for the point–value MR method. The algorithms include a new concept of the multiresolution forest structure (MFS). A careful assessment of these methods are discussed in detail to bring forth their benefits as well as their limitations. Rigorous performance analysis of these methods exhibits an immense potential to exploit the parallelism using the proposed MFS concept. Its application to shock waves involving shock–obstacle interaction in double–concave cylindrical reflectors, for ignition detonation or high–speed combustion problems, shows two new shock bifurcations revealing a greater insight into the phenomenology of the reflection configurations. It is reported for the first time that the transition from a single–triple–point wave configuration (STP) to a double–triple–point wave configuration (DTP) and back occurs several times on the second reflector, indicating that the flow is capable of retaining the memory of the past events over the entire process
Vougalter, Vitali. "Diamagnetic behavior of sums of Dirichlet eigenvalues". Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/28034.
Texto completoPalafox, Jordy. "Calcul Moulien, Arborification, Symétries et Applications". Thesis, Pau, 2018. http://www.theses.fr/2018PAUU3008/document.
Texto completoThis thesis work mainly focuses on the use of the mould calculus and the technic of arborification which had been introduced both by J.Ecalle in the seventies and theirs applications to the study of continuous or discrete systems.One of the contributions is the systematic study of conditions under which the arborification allows to reestablish the convergence of formal series via introduction of a notion of invariance of mould under arborification. These results allow to give a detailed proof of Brjuno Theorem of analytic linearizability of vector fields as it is proposed by J.Ecalle in his article "Singularité non abordable par la géométrie". These results were obtained jointly with Dominique Manchon (University of Clermont Ferrand) and Jacky Cresson.The power of the mould calculus is then illustrated by an almost complete resolution of the Jarque-Villadelprat's conjecture about Hamiltonian Isochronous centers. This conjecture states that there is not existing polynomial vector fields in the plane of odd degree which are Hamiltonian. The study of the algebraic structure of the correction, introduced in the nineties by G.Gallavotti and then generalized by J.Ecalle and B.Vallet and its explicit computation via mould calculus, enables us to obtain explicit conditions of obstruction to isochronicity. The algebraic and combinatoric aspect of these objects and methods brings naturally to the classification of center conditions through a notion of complexity. The arborification allows to the unification of different approaches and a simplicification of different works, especially those of J.C.Butcher about algebraic structures of Runge-kutta methods, who had introduced that is called B-series by numerical mathematicians. Studying the algebraic structure of the substitution operator associated to a diffeomorphism, especially the one related to a Runge-Kutta method and the one which is associated to the solution of the underlying differential equations, we present the Butcher's encoding as a special translation of a direct arborification of the substitution automorphism. We can conclude that this phenomenon is wide and allows to include more recent studies on the approach by rough path of stochastic differential equations.A second part of this thesis involves the research of Lie group of symmetries of planar webs following Hénaut's approach (University of Bordeaux).This work allows to precise the relation between the dimension of the groups of symmetries and the linearizability or hexagonal character of planar webs. In the the case of line arrangement, we obtain a depthful relation between the modulus of derivations of Saito associated to the line arrangement and the group of symmetries of the associated web
Stahl, Nilson Sergio Peres 1958. "O ambiente e a modelagem matematica no ensino do calculo numerico". [s.n.], 2003. http://repositorio.unicamp.br/jspui/handle/REPOSIP/253526.
Texto completoTese (doutorado) - Universidade Estadual de Campinas, Faculdade de Educação
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Resumo: Este trabalho de pesquisa trata da utilização da Modelagem Matemática Aplicada a fenômenos Ambientais como meio de transformação de atitudes docentes e discentes no processo aprendizagem/ensino da disciplina de Cálculo Numérico. A pesquisa se desenvolveu numa instituição privada em que os alunos do quarto ano do curso de licenciatura em Matemática, em 1999, participaram como atores do processo. Foram aplicados 7 projetos enfocando o meio ambiente privilegiando o estudo dos tópicos referentes à disciplina de Cálculo Numérico. Utilizou-se microcomputadores e aplicativo específico como ferramental de apoio durante o processo de pesquisa que se desenvolveu num ambiente de pesquisa-ação. Os dados foram coletados por meio de observação e questionários, sendo avaliados de acordo com os objetivos e questões que nortearam a pesquisa
Abstract: This research work is about the use of Applied Mathematical Modelling to Environmental phenomena as a mieans of transformation of educational attitudes in the learning teaching process of the discipline of Numeric Calculus. The work was developed in a privat institution with the students of the fourth year of the course for a degree in Mathematics, in 1999, they participated as agents in the process. They received 7 projects focusing the environment enphasizing the study of topics of Numerical Calculus. Microcomputers and specific sofwere applications were used as support during the research processes wich were developed in a research-action enviroment. Data was collected by means of observation and questionnaires wich were evalueted in agreement with the objectives and themes that guided the research
Doutorado
Educação Matematica
Doutor em Educação
Dinh, Trong Tuan. "Modèles hyper-réduits pour la simulation simplifiée du soudage en substitut de calcul hors d’atteinte". Thesis, Paris Sciences et Lettres (ComUE), 2018. http://www.theses.fr/2018PSLEM023/document.
Texto completoMulti-pass welding is used to recharge pipes with local sub-thickness. Numerical simulation facilitates the selection of many welding parameters. Reducing the order of models speeds up these choices. In this work, we were interested in cases where it is difficult to carry out the entire welding simulation due to time constraints or lack of calculation means. These computations are called out of reach simulations. However, the missing forecasts do not allow the implementation of a orthogonal decomposition method to extract a reduced basis of empirical modes from the data produced by numerical simulations. To overcome this difficulty, we propose either a directional model well adapted to welding, or a step of extrapolation of the simulation data by spatial shift of the already calculated forecasts. These two approaches are complementary to the hyper-reduction method, in which the balance equations are restricted to a reduced mesh size. These methods allow to start a numerical simulation of welding with a finite element model, then to continue this simulation with a hyper-reduced model. This avoids the need for numerous preliminary parametric studies and allows simulations that are out of reach. This manuscript ends with a chapter dealing with the case of reloading a tube, for which EDF has carried out an instrumented test
Ardourel, Vincent. "Les théories physiques face au calcul numérique : enjeux et conséquences de la mécanique discrète". Thesis, Paris 1, 2013. http://www.theses.fr/2013PA010694.
Texto completoThe numerical computation of the solutions of equations in physical theories enables scientists to make powerful predictions. But numerical computation also challenges physical theories in a more fundamental way. The aim of this dissertation is to show how numerical computation leads to a reformulation of physical theories. Fundamental laws and first principles usually formulated with differential equations are reformulated with discrete equations. To fulfill this goal, I focus on the case of classical mechanics. I study a discrete approach called discrete mechanics developed since the 1980's and I discuss its consequences on the usual continuous representation of time in physics. First, I study numerical computation as a means to make predictions in physics. The fundamental concepts of exact and numerical computations of differential equations are discussed. In the second part, I examine how numerical computation changes the fundamental principles of physical theories. I claim that discrete mechanics has to be considered as a new theory of classical motion. In a third part, I investigate the consequences of discrete mechanics on the continuous representation of time in physics. I claim that physicists do not have to necessarily represent time as continuous in their theories. The discrete representation is another possible choice. Finally, I compare the continuous representation of time and the discrete one according to criteria of simplicity
Cochet, Some Claire. "Numerical characterization of boson stars and Kerr Black holes". Sorbonne Paris Cité, 2016. http://www.theses.fr/2016USPCC094.
Texto completoThe Galactic Center is an interesting place to test possible effects of strong gravity regime. Whereas it is generally believed that the compact object located at the Galactic Center, named Sgr A*, is a rotating black hole, some alternative models can also explain the current observations. This work is centered on one of these other objects, which is the Boson Star. Rotating boson stars are numerical solutions of the coupled Einstein-Klein-Gordon system, so these equations are written within the 3+1 formalism and then a numerical code capable of solving them with the Kadath library has been developed. Several kinds of boson stars with different potentials are presented : free fields an self-interacting fields, with quartic and sextic potentials, and different values of the rotational quantum number. Then two different ways of comparing this spacetime to Kerr's are presented. One way was to compute timelike geodesics in this geometry and study them. For that the ray-tracing code Gyoto is used to integrate numerically the geodesic equations for several types of boson stars. A peculiar type of orbits has been identifyed: the zero-angular-momentum ones which is called pointy-petal orbits thanks to their shape. These orbits pass very close to the center and are qualitatively different from orbits around a Kerr black hole. Another way to compare Kerr to any stationary and asymptotically flat metric given in its 3+1 form was to us a the characterization of the Kerr spacetime given by the Simon-Mars tensor. This tensor has the property of being identically zero for a vacuum and asymptotically flat spacetime if and only if the latter is locally isometric to the Kerr spacetime. The idea was to build a scalar with this tensor, and a scalar which is an invariant quality factor. Then, write it in 3+1 form to be able to compute it with numerical codes such as Kadath. Computing this scalar provides a simple way of comparing locally a generic (even non vacuum and non analytic) stationary spacetime to Kerr, therefore measure its 'non-Kerness". As an illustration, this invariant quality factor is evaluated for numerical solutions of the Einstein equations generated by boson stars and neutron stars, and for analytic solutions of the Einstein equations such as Curzon Chazy spacetime
Molin, Pascal. "Intégration numérique et calculs de fonctions L". Phd thesis, Université Sciences et Technologies - Bordeaux I, 2010. http://tel.archives-ouvertes.fr/tel-00537489.
Texto completoYu, Qiang. "Numerical simulation of anomalous diffusion with application to medical imaging". Thesis, Queensland University of Technology, 2013. https://eprints.qut.edu.au/62068/1/Qiang_Yu_Thesis.pdf.
Texto completoUzureau, Alexandre. "Modélisations et calculs pour la cicatrisation osseuse". Phd thesis, Nantes, 2012. http://www.theses.fr/2012NANT2099.
Texto completoThis thesis analyzes a bone healing model which is then coupled with a model of fluid flow to model bone growth in bioreactors (systems that mimic the in vivo environment). The proposed model of population dynamics take into account the rates of change of four populations : the mesenchymal stem cells, the osteoblasts, the bone matrix and the osteogenic growth factor. With the Faedo-Galerkin approximations, we proved that this model has at least one weak solution physically admissible. In this proof, getting the energy estimates is difficult because some populations do not have spatial terms. Then, we proposed a numerical scheme for admissible meshes. The discretization is classical except for the haptotaxis term discretized by an upstream scheme with an additional monotony property. For this scheme, we have proved existence and convergence of discrete solutions physically admissible toward a weak solution physically admissible of the system. We have computed some numerical simulations to validate the model. Finally, to model the bone growth in bioreactors, we have coupled the previous model with a model of fluid flow in porous medium. This new model takes into account the effects of the shear stress on the osteoblastic differentiation and the population advection by the flow
Falchi, Lora Marina. "Metodi di calcolo numerico per la valutazione degli investimenti". Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2010. http://amslaurea.unibo.it/836/.
Texto completoWu, Fang. "NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer". TopSCHOLAR®, 2012. http://digitalcommons.wku.edu/theses/1217.
Texto completoRenault, Alexandre. "Calcul et optimisation d’absorbeurs pendulaires dans une chaîne de traction automobile". Thesis, Paris, ENSAM, 2018. http://www.theses.fr/2018ENAM0022.
Texto completoIn the context of the reduction of polluting emissions and fuel consumption of thermal engines of vehicles, automotive manufacturers try to reduce cylinder capacity and engine speed of rotation. These evolutions lead to significant increase of irregularities of rotation. The so-called centrifugal pendulum vibration absorber is a recent solution of mitigation of torsional vibrations in automotive powertrains. It acts as a mass damper tuned on the firing order of the engine and allows reduction of vibrations. However, strong non-linearities intrinsic to pendular systems cause a detuning of the device at large amplitude of motion resulting in a loss of performances. This thesis aims to improve the understanding and the behavior of the system in interaction with an automotive driveline. In support of classic time integration procedures, the nonlinear system is solved through the asymptotic numerical method coupled to the harmonic balance method. In addition, an original continuation of antiresonance method is proposed as well as some design rules derived from analytical developments. Experimental validation shows a significant enhancement of performances of the system
Rougeot, Raphaël. "Calculs de diffraction pour les coronographes solaires en vol en formation : Application pour ASPIICS". Thesis, Université Côte d'Azur, 2020. https://tel.archives-ouvertes.fr/tel-03177643.
Texto completoThe future formation flying PROBA-3 ESA mission will fly the giant solar coronagraph ASPIICS. One spacecraft will carry an occulter disc of 1.42m diameter in front of the Sun. It will cast its shadow onto the 5cm aperture of a Lyot-style coronagraph on-board a second spacecraft that will be positioned 150m behind with millimeters accuracy. ASPIICS aims to observe the solar corona in the rather unexplored region from 1.1 to 3.0 solar radii, where the coronal brightness is six to ten orders of magnitude lower than the solar disc. For such high-contrast instrument, straylight from sunlight diffraction is a key driver for the performance. Dedicated and accurate modeling of these diffraction effects are thus required. Additionally, the novel concept of formation flying brings new constraints to be investigated.This thesis aims to meet these needs. The method is numerical. First, the diffraction from the occulter is calculated by models designed for the study case. The umbra is computed as an incoherent summation over the solar disc. Second, the Fresnel propagation of the diffracted wave front through the coronagraph is built upon Fourier optics, and uses 2D FFT with large arrays. Perturbations are finally added to the model, like roughness scattering from the telescope, or misalignment and off-pointing of the spacecraft flying formation. The end result is the spatial distribution of the diffracted sunlight intensity at detector level. Sizing the Lyot mask and stop and vignetting effects are also analyzed.Regarding the umbra intensity, the study shows that serrated occulters are better than the simple disc and can almost reach the straylight performance of the apodized disc. At detector level, the brightness of the diffraction at 1.1 solar radius remains similar to the corona. But the coronagraph manages to reduce the straylight to the required level beyond 1.3 solar radius. While the formation flying errors have a limited impact, the scattering significantly increases the diffraction in the outer field-of-view. These results have been used to support the design of ASPIICS
Thiam, Abdoulaye. "A rigorous numerical method for the proof of Galaktionov-Svirshchevskii's conjecture". Master's thesis, Université Laval, 2016. http://hdl.handle.net/20.500.11794/26595.
Texto completoThe theory of dynamical systems studies phenomena which are evolving in time. More precisely, a dynamical system is given by the following data: a phase space whose points correspond to the possible states of the system under consideration and an evolution law describing the infinitesimal (for continuous time) or one-step (for discrete time) change in the state of the system. The goal of the theory is to understand the long term evolution of the system. In this work, we introduce a new method for solving piecewise linear systems with computer assisted proofs in the context of realistic linear models. After introducing some properties of the theory of ordinary differential equations, we provide a rigorous computational method for finding the periodic solution of Galaktionov-Svirshchevskii's conjecture. We reformulate the problem as an initial value problem, compute periodic solution in the positive domain and deduce the other solution by symmetry. Our result settles one part of the Conjecture 3:2 by Victor A. Galaktionov & Sergey R. Svirshchevskii: Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics, [Chapman & Hall/CRC, applied mathematics and nonlinear science series, (2007)]. Key words. Galaktionov-Svirshchevskii's conjecture, Interval analysis, Contraction mapping theorem, Radii polynomials.
Ben, Hassan Saïdi Ismaïl. "Numerical simulations of the shock wave-boundary layer interactions". Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS390/document.
Texto completoSituations where an incident shock wave impinges upon a boundary layer are common in the aeronautical and spatial industries. Under certain circumstances (High Mach number, large shock angle...), the interaction between an incident shock wave and a boundary layer may create an unsteady separation bubble. This bubble, as well as the subsequent reflected shock wave, are known to oscillate in a low-frequency streamwise motion. This phenomenon, called the unsteadiness of the shock wave boundary layer interaction (SWBLI), subjects structures to oscillating loads that can lead to damages for the solid structure integrity.The aim of the present work is the unsteady numerical simulation of (SWBLI) in order to contribute to a better understanding of the SWBLI unsteadiness and the physical mechanism causing these low frequency oscillations of the interaction zone.To perform this study, an original numerical approach is used. The one step Finite Volume approach relies on the discretization of the convective fluxes of the Navier Stokes equations using the OSMP scheme developed up to the 7-th order both in space and time, the viscous fluxes being discretized using a standard centered Finite-Difference scheme. A Monotonicity-Preserving (MP) constraint is employed as a shock capturing procedure. The validation of this approach demonstrates the correct accuracy of the OSMP scheme to predict turbulent features and the great efficiency of the MP procedure to capture discontinuities without spoiling the solution and with an almost negligible additional cost. It is also shown that the use of the highest order tested of the OSMP scheme is relevant in term of simulation time and accuracy compromise. Moreover, an order of accuracy higher than 2-nd order for approximating the diffusive fluxes seems to have a negligible influence on the solution for such relatively high Reynolds numbers.By simulating the 3D unsteady interaction between a laminar boundary layer and an incident shock wave, we suppress the suspected influence of the large turbulent structures of the boundary layer on the SWBLI unsteadiness, the only remaining suspected cause of unsteadiness being the dynamics of the separation bubble. Results show that only the reattachment point oscillates at low frequencies characteristic of the breathing of the separation bubble. The separation point of the recirculation bubble and the foot of the reflected shock wave have a fixed location along the flat plate with respect to time. It shows that, in this configuration, the SWBLI unsteadiness is not observed.In order to reproduce and analyse the SWBLI unsteadiness, the simulation of a shock wave turbulent boundary layer interaction (SWTBLI) is performed. A Synthetic Eddy Method (SEM), adapted to compressible flows, has been developed and used at the inlet of the simulation domain for initiating the turbulent boundary layer without prohibitive additional computational costs. Analyses of the results are performed using, among others, the snapshot Proper Orthogonal Decomposition (POD) technique. For this simulation, the SWBLI unsteadiness has been observed. Results suggest that the dominant flapping mode of the recirculation bubble occurs at medium frequency. These cycles of successive enlargement and shrinkage of the separated zone are shown to be irregular in time, the maximum size of the recirculation bubble being submitted to discrepancies between successive cycles. This behaviour of the separation bubble is responsible for a low frequency temporal modulation of the amplitude of the separation and reattachment point motions and thus for the low frequency breathing of the separation bubble. These results tend to suggest that the SWBLI unsteadiness is related to this low frequency dynamics of the recirculation bubble; the oscillations of the reflected shocks foot being in phase with the motion of the separation point
Otaño, Aramendi Nerea. "Réduction du coût de calcul pour la simulation du comportement mécanique de câbles". Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLC061.
Texto completoThe work presented in this dissertation is focused on the simulation of the mechanical behaviour of lift's wire ropes. The aim of the work is to elaborate a method to simulate the mechanical behaviour of such wire ropes with low computational cost and sufficient accuracy.First of all, several methods to model or simulate wire ropes have been compared and their weak and strong points have been highlighted. Analytical and finite element methods have been compared with experimental tests. It was concluded that analytical methods considered in this work have a lower computational cost than finite element methods, but the results obtained using them are not accurate enough to simulate lift wire ropes. Therefore, finite element methods have been considered as the most appropriate to simulate these wire ropes. However, their computational cost is high so some methods to reduce it must be applied.In order to reduce the computational time, three type of methods have been considered: homogenization, metamodeling and model order reduction. Model order reduction technique was chosen as the most adequate method and it was implemented in the wire rope finite element simulation program Multifil. Accurate results have been obtained, however the computational cost needed by initial simulations to get the snapshots used to define a reduce basis was too high for long wire ropes. To solve this problem, a sectionwise reduction method was proposed and implemented. This formulation takes advantage of the periodic structure of wire ropes: the reduced basis is identified only on a reference elementary section and used for all repetitive sections of a multi-section wire rope. The computational cost induced by the multiplication of matrices in order to transform the linear system of the initial problem into the linear system of the reduced problem was shown to remain too high, particularly in the context of the solving of a non-linear problem, to allow the global computational time to be significantly decreased using the proposed techniques. To overcome this difficulty, an additional technique, namely the so-called Discrete Empirical Interpolation Method (DEIM) was successfully implemented and tested, allowing a time reduction factor of 4 to be obtained
Ziad, Abderrahmane. "Contributions au calcul numérique des valeurs propres des matrices normales". Saint-Etienne, 1996. http://www.theses.fr/1996STET4001.
Texto completoBruder, Benjamin. "[Stochastic control and applications to option hedging with illiquidity : theoritical and numerical aspects]". Paris 7, 2008. http://www.theses.fr/2008PA077006.
Texto completoWe study some applications of stochastic control to option hedge with illiquidity. In the first part, we focus on a superreplication problem in a stochastic volatility model. The specificity comes from the fact that the asset which is used to hedge volatility is illiquid, thus only a finite total amount of transactions can be operated during the hedging. The second part is about option hedging in presence of uncertain volatility, which dynamics are unspecified. We introduce a criterion to obtain non trivial prices, by allowing the agent to lose money for improbable volatility scenarios. At last, in the third part, we study an impulse control problem in which the actions take effect with delay. This can be applied for hedging options on hedge funds. Indeed, buying and selling orders on these funds are executed with delay. In each part, we characterize the value function of the problem as the unique viscosity solution of a partial differentiel equation. In the first and third parts, we also introduce, in a second chapter, numerical algorithms to solve those PDE with finite differences methods. Convergence of these algorithms is proved in a theoretical framework
Gupta, Adarsh Baboo. "Numerical Simulations of the shock wave-boundary layer interaction in complex geometries". Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPAST013.
Texto completoThe objective of the present thesis work is to provide a better insight of the SWBLI unsteadiness due to the low-frequency streamwise oscillations of the separation bubble. To investigate this low frequency motion, DNS of the interaction between the shock wave and laminar boundary layer in complex geometries has been carried out. To perform those simulations, a modified numerical approach for curvilinear coordinate, implemented in an in-house parallel (MPI) Finite-Volume based DNS/LES solver (CHORUS) developed at LIMSI-CNRS is used.The first part of the thesis is the validation of the modified numerical approach. The influence of the mesh distortion has been analyzed from several test cases. The errors introduced by different types of deformation for the three test cases dealing with advection, turbulence, and shock wave were identifiable. The errors created by deformation of the mesh are found comparatively low if the control volumes stay close to a parallelepiped. In some cases, a significant rise has been seen due to the introduction of the non-orthogonality of the mesh.The second part is the validation of code in the framework of supersonic flows around a compression corner which is the core of the present dissertation. The validation studies have been carried out for the case of both inviscid and viscous flows over a compression ramp and the comparison with theoretical as well as numerical data has been presented. This comparison has shown that the results obtained with CHORUS code are in good agreement with the reference data. However, those studies are rather old and a lot of progress has been made in numerical methods for high-speed flow simulations. Unfortunately, there are only a few recent studies concerning simulations or experiments of fully laminar flow around ramps or other complex geometries that could have helped to assess Chorus’ ability to compute such flows. It has then been decided to create our own test case using an extensively tested supersonic flow solver, rhoCentralFoam of the OpenFOAM open-source numerical package. The results obtained provided the difference in the two numerical approaches and allowed us to consider Chorus as validated for DNS of compressible flows with shocks in complex geometries.Consequently, the last chapter deals with the physical analysis of the flow created by a laminar boundary layer developing around two geometries: a classical compression ramp and a compression-expansion ramp. As said earlier, the goal of those simulations was to determine whether the low-frequency oscillations of the recirculation zone can be related to the coherent structures in the incoming boundary layer. The results have demonstrated that, for both configurations, the separation shock IS NOT subjected to longitudinal oscillations. However, when analysing the spectra from probes in the vicinity of the separation point, it has appeared that all the frequency information is contained in those temporal signals. The conclusion of this study is that the absence of oscillations in the laminar case is not, as originally thought, due to the absence of coherent structures in the incoming boundary layer but rather to the fact that, in the laminar case, the separation bubble extent is too large. As a consequence, even if the perturbations that make the bubble oscillate in the turbulent case are present for laminar boundary layer, they are damped in such a way that they are not able to move the shock system and/or the recirculation zone. The next step to this study would be to reduce either the freestream Mach number or the ramp angle in order to have a smaller recirculation bubble and check if the motion appear in that case
Clary, Vincent. "Développement d'un modèle simplifié 3D pour le calcul de parcs d'hydroliennes - Validation expérimentale". Thesis, Université Grenoble Alpes (ComUE), 2019. http://www.theses.fr/2019GREAI068/document.
Texto completoNew projects have recently been launched to build farms of several tidal or river turbines, which are part of the renewable energy systems. The turbine wake interactions in the farm must be considered, as they can affect the power production of the turbines. A steady-state Actuator force model using the RANS equations is developed in the present work to calculate the power production and the flow through arrays of tidal or river Darrieus turbines. It uses detailed three dimensional force distributions depending on the position on the turbine, obtained beforehand by a set of blade-resolved URANS simulations of the turbine. New power coefficient and force coefficient laws depending on the local velocity (flow velocity at the machine position) instead of the upstream velocity are established and appear to be independent from the local turbine blockage in an array. Those laws are used to construct a model that adapt the Actuator force distributions to the local velocity of the flow reaching each turbine, in order to simulate each turbine functioning close to its maximum efficiency point. The model is validated against experimental measurements on a reduced-scale Darrieus turbine. Different farm configurations are simulated and compared to results of the same model adapted in two dimensions. The distances between turbines that are optimizing the farm power production are especially investigated
Sibut, Pinote Thomas. "Investigations in Computer-Aided Mathematics : Experimentation, Computation, and Certification". Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLX086/document.
Texto completoThis thesis proposes three contributions to computer-aidedmathematical proofs. It deals, not only with proofs relying oncomputations, but also with formal proofs, which are both produced andverified using a piece of software called a proof assistant.In the first part, we illustrate the theme of experimentation at theservice of proofs by considering the problem of the complexity ofmatrix multiplication algorithms. This problem has historically beenapproached in an increasingly abstract way: modern approaches do notconstruct algorithms but use theoretical results to improve the lowerbound on the famous omega constant. We went back to a more practicalapproach by attempting to program some of the algorithms implied bythese theoretical results. This experimental approach reveals anunexpected pattern in some existing algorithms. While these algorithmscontain a new variable epsilon whose presence is reputed to renderthem inefficient for the purposes of reasonable matrix sizes, we havediscovered that we could build matrix multiplication algorithms inparallel without epsilon's with an asymptotic complexity which cantheoretically beat Strassen's algorithm in terms of the number ofmultiplications. A by-product of this exploration is a symbolic toolin Ocaml which can analyze, compose and export matrix multiplicationalgorithms. We also believe that it could be used to build newpractical algorithms for matrix multiplication.In the second part, we describe a formal proof of the irrationality ofthe constant zeta (3), following the historical demonstration due toApéry. The crucial step of this proof is to establish that twosequences of rational numbers satisfy a suprising commonrecurrence. It is in fact possible to "discover" this recurrence usingsymbolic algorithms, and their existing implementations in a computeralgebra system. In fact, this work is an example of a skepticalapproach to the formal proof of theorems, in which computations aremainly accomplished by an efficient computer algebra program, and thenformally verified in a proof assistant. Incidentally, this workquestions the value of creative telescoping certificates as completeproofs of identities. This formal proof is also based on newmathematical libraries, which were formalised for its needs. Inparticular, we have formalized and simplified a study of theasymptotic behaviour of the sequence lcm(1,..., n). This work isdeveloped in the Coq proof assistant and extends the MathematicalComponents libraries.In the last part, we present a procedure which computes approximationsof a class of proper and improper integrals while simultaneouslyproducing a Coq formal proof of the correction of the result of thiscomputation. This procedure uses a combination of interval arithmeticand rigorous polynomial approximations of functions. This work makescrucial use of the possibility to efficiently compute inside Coq'slogic. It is an extension of the CoqInterval library providingnumerical approximation of a class of real expressions. Itsimplementation has also resulted in extensions to the Coquelicotlibrary for real analysis, including a better treatment of improperintegrals. We illustrate the value of this tool and its performanceby dealing with standard but nontrivial examples from the literature,on which other tools have in some cases been incorrect
Gaignebet, Yvon. "Approche non incrémentale des calculs de chocs pour des structures viscoplastiques". Cachan, Ecole normale supérieure, 1996. http://www.theses.fr/1996DENS0008.
Texto completoCavallari, Michele. "Il calcolo delle sovrastrutture stradali flessibili: l'approccio particellare". Master's thesis, Alma Mater Studiorum - Università di Bologna, 2010. http://amslaurea.unibo.it/846/.
Texto completoLiu, Rex Gerry. "Discrete gravitational approaches to cosmology". Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/249027.
Texto completoJrad, Ibrahim. "Analyse spectrale et calcul numérique pour l'équation de Boltzmann". Thesis, Normandie, 2018. http://www.theses.fr/2018NORMR020/document.
Texto completoIn this thesis, we study the solutions of the Boltzmann equation. We are interested in the homogeneous framework in which the solution f(t; x; v) depends only on the time t and the velocity v. We consider singular crosssections (non cuto_ case) in the Maxwellian case. For the study of the Cauchy problem, we consider a uctuation of the solution around the Maxwellian distribution then a decomposition of this uctuation in the spectral base associated to the quantum harmonic oscillator At first, we solve numerically the solutions using symbolic computation methods and spectral decomposition of Hermite functions. We consider regular initial data and initial conditions of distribution type. Next, we prove that there is no longer a global solution in time for a large initial condition that changes sign (which does not contradict the global existence of a weak solution for a positive initial condition - see for example Villani Arch. Rational Mech. Anal 1998)
Madugula, Sashi Kiran. "Development of a Numerical Tool to Optimise the Infill Structure of Part Produced by Fused Deposition Modeling". Thesis, Troyes, 2022. http://www.theses.fr/2022TROY0002.
Texto completoThe objective of this thesis is to develop a numerical tool to optimise the internal structure of 3D printed parts produced by the Fused Deposition Modelling (FDM) process. In 3D printing, the term infill refers to the internal structure of the part. To create the infill design, slicing software is used, which generally creates the infill uniformly throughout the part. When such a part is subjected to external loading, not all the infill regions will experience the same amount of stress. Therefore, using uniform infill throughout the part is not the most optimised solution in terms of material usage. We aim to develop a numerical tool to evolve the infill design with respect to the mechanical stresses generated by the external loads. To achieve this, we propose two different methodologies based on an iterative process using refinement technique and remeshing techniques coupled to Finite Element simulation (FE simulation) to control the internal structure of the part without changing the contour. These methodologies aim to reinforce the infill of the part without changing the contour, in the area where the mechanical strength must be improved to strengthen the structure, but also to decrease the amount of material to reduce the printing time
Tisseur, Françoise. "Méthodes numériques pour le calcul d'éléments spectraux : étude de la précision, la stabilité et la parallélisation". Saint-Etienne, 1997. http://www.theses.fr/1997STET4006.
Texto completoBohnet-Waldraff, Fabian. "Entanglement and Quantumness - New numerical approaches -". Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLS318/document.
Texto completoThe main topic of this compilation thesis is the investigation of multipartite entanglement of finite dimensional systems. We developed a numerical algorithm that detects if a multipartite state is entangled or separable in a finite number of steps of a semi-definite optimization task. This method is an extension of previously known semi-definite methods, which are inconclusive when the state is separable. In our case, if the state is separable, an explicit decomposition into a mixture of separable states can be extracted. This was achieved by mapping the entanglement problem onto the mathematically well studied truncated moment problem.Additionally, a new way of writing the partially transposed state for symmetric multi-qubit states was developed which simplifies many results previously known in entanglement theory. This new way of writing the partial transpose criterion unifies different interpretations and alternative formulations of the partial transpose criterion and it is also a part in the aforementioned semi-definite algorithm.The geometric properties of entangled symmetric states of two qubits were studied in detail: We could answer the question of how far a given pure state is from the convex hull of symmetric separable states, as measured by the Hilbert-Schmidt distance, by giving an explicit formula for the closest separable symmetric state. For mixed states we could provide a numerical upper and analytical lower bound for this distance.For a larger number of qubits we investigated the ball of absolutely classical states, i.e.~symmetric multi-qubit states that stay separable under any unitary transformation. We found an analytical lower bound for the radius of this ball around the maximally mixed symmetric state and gave a numerical upper bound on this radius, by searching for an entangled state as close as possible to the maximally mixed symmetric state.The tensor representation of a symmetric multi-qubit state, or spin-$j$ state, allowed us to study entanglement properties based on the spectrum of the tensor via tensor eigenvalues. The definiteness of this tensor relates to the entanglement of the state it represents and, hence, the smallest tensor eigenvalue can be used to detect entanglement. However, the tensor eigenvalues are more difficult to determine than the familiar matrix eigenvalues which made the investigation computationally more challenging.The relationship between the value of the smallest tensor eigenvalue and the amount of entanglement in the state was also investigated. It turned out that they are strongly correlated for small system sizes, i.e.~for up to six qubits. However, to investigate this correlation we needed an independent way to gauge the amount of entanglement of a state and in order to do so we improved existing numerical methods to determine the distance of a state to the set of separable symmetric states, using a combination of linear and quadratic programming.The tensor representation of symmetric multi-qubit states was also used to formally define a new tensor class of regularly decomposable tensors that corresponds to the set of separable symmetric multi-qubit states
Fakih, Bilal. "Environnement décentralisé et protocole de communication pour le calcul intensif sur grille". Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30179/document.
Texto completoThis thesis aims at designing an environment for the implementation of high performance computing applications on Grid platforms. We are interested in applications like loosely synchronous applications and pleasingly parallel applications. For loosely synchronous applications, we are interested in particular in applications in the domains of numerical simulation that can be solved via parallel or distributed iterative methods, i.e., synchronous, asynchronous and hybrid iterative method; while, for pleasingly parallel applications, we are interested in planning problems. Our thesis work aims at designing the decentralized environment GRIDHPC. GRIDHPC exploits all the computing resources (all the available cores of computing nodes) using OpenMP as well as several types of networks like Ethernet, Infiniband and Myrinet of the grid platform using the reconfigurable multi network protocol RMNP. Note that RMNP can configure itself automatically and dynamically in function of application requirements like schemes of computation, i.e., synchronous or asynchronous iterative schemes, elements of context like network topology and type of network like Ethernet, Infiniband and Myrinet by choosing the best communication mode between computing nodes and the best network. We present and analyze a set of computational results obtained on Grid5000 platform for the obstacle and planning problems
Muhundan, Arumugam. "Effects of using graphing calculators with a numerical approach on students' learning of limits and derivatives in an applied calculus course at a community college". [Tampa, Fla.] : University of South Florida, 2005. http://purl.fcla.edu/fcla/etd/SFE0001186.
Texto completoLu, Zijun. "Theoretical and Numerical Analysis of Phase Changes in Soft Condensed Matter". Case Western Reserve University School of Graduate Studies / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case15620007885239.
Texto completoBuatois, Luc. "Algorithmes sur GPU de visualisation et de calcul pour des maillages non-structurés". Phd thesis, Institut National Polytechnique de Lorraine - INPL, 2008. http://tel.archives-ouvertes.fr/tel-00331935.
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