Dissertations / Theses on the topic 'Ito equation'
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Pihnastyi, O. M., and V. D. Khodusov. "Stochastic equation of the technological process." Thesis, Igor Sikorsky Kyiv Polytechnic Institute, 2018. http://repository.kpi.kharkov.ua/handle/KhPI-Press/39059.
Full textFornasaro, Federico. "The Krylov Equation and Filtering of Stochastic Diffusion Processes." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21741/.
Full textPrömel, David Johannes. "Robust stochastic analysis with applications." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2015. http://dx.doi.org/10.18452/17373.
Full textIn this thesis new robust integration techniques, which are suitable for various problems from stochastic analysis and mathematical finance, as well as some applications are presented. We begin with two different approaches to stochastic integration in robust financial mathematics. The first one is inspired by Ito’s integration and based on a certain topology induced by an outer measure corresponding to a minimal superhedging price. The second approach relies on the controlled rough path integral. We prove that this integral is the limit of non-anticipating Riemann sums and that every "typical price path" has an associated Ito rough path. For one-dimensional "typical price paths" it is further shown that they possess Hölder continuous local times. Additionally, we provide various generalizations of Föllmer’s pathwise Ito formula. Recalling that rough path theory can be developed using the concept of controlled paths and with a topology including the information of Levy’s area, sufficient conditions for the pathwise existence of Levy’s area are provided in terms of being controlled. This leads us to study Föllmer’s pathwise Ito formulas from the perspective of controlled paths. A multi-parameter extension to rough path theory is the paracontrolled distribution approach, recently introduced by Gubinelli, Imkeller and Perkowski. We generalize their approach from Hölder spaces to Besov spaces to solve rough differential equations. As an application we deal with stochastic differential equations driven by random functions. Finally, considering strongly coupled systems of forward and backward stochastic differential equations (FBSDEs), we extend the existence, uniqueness and regularity theory of so-called decoupling fields to Markovian FBSDEs with locally Lipschitz continuous coefficients. These results allow to solve the Skorokhod embedding problem for a class of Gaussian processes with non-linear drift.
Ben, Ghorbal Anis. "Fondements algébriques des probabilités quantiques et calcul stochastique sur l'espace de Fock booléen." Nancy 1, 2001. http://www.theses.fr/2001NAN10009.
Full textFan, Qianzhu. "Stochastic heat equations with Markovian switching." Thesis, University of Manchester, 2017. https://www.research.manchester.ac.uk/portal/en/theses/stochastic-heat-equations-with-markovian-switching(8958d026-671e-4c63-a639-b4a7b120a968).html.
Full textZheng, Bing. "Incorporating equation solving into unification through stratified term rewriting." Thesis, Virginia Polytechnic Institute and State University, 1989. http://hdl.handle.net/10919/52096.
Full textMaster of Science
Zimmermann, Nils E. R., Timm J. Zabel, and Frerich J. Keil. "Transport into zeolite nanosheets: diffusion equations put to test." Diffusion fundamentals 20 (2013 ) 53, S. 1-2, 2013. https://ul.qucosa.de/id/qucosa%3A13629.
Full textHigham, Jeffrey. "An investigation into the de broglie bohm approach to the dirac equation." Thesis, University of Portsmouth, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.516158.
Full textDavis, Benjamin J. "A study into discontinuous Galerkin methods for the second order wave equation." Thesis, Monterey, California: Naval Postgraduate School, 2015. http://hdl.handle.net/10945/45836.
Full textThere are numerous numerical methods for solving different types of partial differential equations (PDEs) that describe the physical dynamics of the world. For instance, PDEs are used to understand fluid flow for aerodynamics, wave dynamics for seismic exploration, and orbital mechanics. The goal of these numerical methods is to approximate the solution to a continuous PDE with an accurate discrete representation. The focus of this thesis is to explore a new Discontinuous Galerkin (DG) method for approximating the second order wave equation in complex geometries with curved elements. We begin by briefly highlighting some of the numerical methods used to solve PDEs and discuss the necessary concepts to understand DG methods. These concepts are used to develop a one- and two-dimensional DG method with an upwind flux, boundary conditions, and curved elements. We demonstrate convergence numerically and prove discrete stability of the method through an energy analysis.
Ashworth, Eileen. "Heat flow into underground openings: Significant factors." Diss., The University of Arizona, 1992. http://hdl.handle.net/10150/185768.
Full textTannenbaum, Stacey L. "An Investigation into Equations for Estimating Water Requirements and the Development of New Equations for Predicting Total Water Intake." FIU Digital Commons, 2011. http://digitalcommons.fiu.edu/etd/338.
Full textGeorge, Benjamin Thomas. "Extensions of the General Linear Model into Methods within Partial Least Squares Structural Equation Modeling." Thesis, University of North Texas, 2016. https://digital.library.unt.edu/ark:/67531/metadc862733/.
Full textMcDermott, Martin Francis. "An investigation into the effects of introducing transverse momentum cutoffs on the BFKL equation." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.308657.
Full textCheng, Ching-Chung. "Investigations into Green's function as inversion-free solution of the Kriging equation, with Geodetic applications." Connect to this title online, 2004. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1095792962.
Full textTitle from first page of PDF file. Document formatted into pages; contains ix, 125 p.; also includes graphics (some col.). Includes bibliographical references (p. 101-103).
Van, der Merwe John. "An experimental investigation into the validity of Leeson's equation for low phase noise oscillator design." Thesis, Stellenbosch : University of Stellenbosch, 2010. http://hdl.handle.net/10019.1/5424.
Full textThesis presented in partial fulfilment of the requirements for the degree Master of Science in Engineering at the University of Stellenbosch
ENGLISH ABSTRACT: In 1966, D.B. Leeson presented his model on phase noise in a letter entitled A Simple Model of Feedback Oscillator Noise Spectrum. This model usually requires an additional e ffective noise figure in order to conform with measured results. (This e ffective noise fi gure has to be determined by means of curve-fi tting Leeson's model with the measured results.) The model is, however, relatively simple to use, compared with other more accurate phase noise models that have since been developed and which can only be solved numerically with the aid of computers. It also gives great insight regarding component choices during the design process. Therefore several experiments were conducted in order to determine conditions under which Leeson's model may be considered valid and accurate. These experiments, as well as the conclusions drawn from their results, are discussed in this document.
AFRIKAANSE OPSOMMING: In 1966 stel D.B. Leeson sy faseruis model bekend in 'n brief getiteld A Simple Model of Feedback Oscillator Noise Spectrum. Hierdie model vereis gewoonlik die gebruik van 'n bykomende e ektiewe ruissyfer, sodat die model ooreenstem met die gemete resultate. (Hierdie e ektiewe ruissyfer kan slegs bepaal word deur middel van krommepassings tussen Leeson se model en die gemete resultate.) Die model is egter relatief eenvoudig om te gebruik in teenstelling met ander, meer akkurate, faseruis modelle wat sedertdien ontwikkel is en slegs met behulp van rekenaars opgelos kan word. Dit bied ook onoortre ike insig ten opsigte van komponent keuses tydens die ontwerpsproses. Om hierdie rede is verskeie eksperimente uitgevoer met die doel om toestande te identi seer waaronder Leeson se model as geldig en akkuraat geag kan word. Hierdie eksperimente, asook die gevolgtrekkings wat van hul resultate gemaak is, word in hierdie dokument behandel.
Randrianarivony, Maharavo. "The ITL programming interface toolkit." Universitätsbibliothek Chemnitz, 2007. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200700254.
Full textWessels, Gert Jermia Cornelus. "A numerical and analytical investigation into non-Hermitian Hamiltonians." Thesis, Stellenbosch : University of Stellenbosch, 2009. http://hdl.handle.net/10019.1/2894.
Full textIn this thesis we aim to show that the Schr odinger equation, which is a boundary eigenvalue problem, can have a discrete and real energy spectrum (eigenvalues) even when the Hamiltonian is non-Hermitian. After a brief introduction into non-Hermiticity, we will focus on solving the Schr odinger equation with a special class of non-Hermitian Hamiltonians, namely PT - symmetric Hamiltonians. PT -symmetric Hamiltonians have been discussed by various authors [1, 2, 3, 4, 5] with some of them focusing speci cally on obtaining the real and discrete energy spectrum. Various methods for solving this problematic Schr odinger equation will be considered. After starting with perturbation theory, we will move on to numerical methods. Three di erent categories of methods will be discussed. First there is the shooting method based on a Runge-Kutta solver. Next, we investigate various implementations of the spectral method. Finally, we will look at the Riccati-Pad e method, which is a numerical implemented analytical method. PT -symmetric potentials need to be solved along a contour in the complex plane. We will propose modi cations to the numerical methods to handle this. After solving the widely documented PT -symmetric Hamiltonian H = p2 (ix)N with these methods, we give a discussion and comparison of the obtained results. Finally, we solve another PT -symmetric potential, illustrating the use of paths in the complex plane to obtain a real and discrete spectrum and their in uence on the results.
Ristola, A. (Annu). "Insights into consumers' emerging interest in mobile services." Doctoral thesis, Oulun yliopisto, 2010. http://urn.fi/urn:isbn:9789514263644.
Full textDegerli, Mustafa. "Identifying Factors Influencing The Acceptance Of Processes: An Empirical Investigation Using The Structural Equation Modeling Approach." Master's thesis, METU, 2012. http://etd.lib.metu.edu.tr/upload/12614321/index.pdf.
Full textLoughran, Thomas Ivan Powell. ""A values based electorate?" : how do voters in West European democracies convert their political values into vote choice preferences?" Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/a-values-based-electoratehow-do-voters-in-west-european-democracies-convert-their-political-values-into-vote-choice-preferences(b1716c93-c730-41e8-acfb-846bb2d51fcd).html.
Full textFode, Adamou M. "A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation." Bowling Green State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1399902459.
Full textKuncoro, Andreas. "Employing Quality Management Principles to Improve the Performance of Educational Systems: An Empirical Study of the Effect of ISO 9001 Standard on Teachers and Administrators Performance in the Indonesian Vocational Education System." Doctoral diss., University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5966.
Full textPh.D.
Doctorate
Industrial Engineering and Management Systems
Engineering and Computer Science
Industrial Engineering
Eraslan, Elvan. "Implementation Of Different Flux Evaluation Schemes Into A Two-dimensional Euler Solver." Master's thesis, METU, 2006. http://etd.lib.metu.edu.tr/upload/12607704/index.pdf.
Full texts flux difference splitting schemes were implemented using the first- and second-order reconstruction methods. Limiter functions were embedded to the second-order reconstruction methods. The flux splitting methods are applied to subsonic, transonic and supersonic flows over NACA0012 airfoil, as well as subsonic, transonic and supersonic flows in a channel. The comparison of the obtained results with each other and the ones in the literature is presented. The advantages and disadvantages of each scheme among others are identified.
Musta, Mustafa Nail. "Implementation Of Turbulence Models Into A Navier-stokes Solver." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/2/12605357/index.pdf.
Full textCañedo, Giselle Ramirez. "Mapa de iso-velocidades : uma ferramenta para o controle das vibrações nas pedreiras." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/3/3134/tde-08072014-121202/.
Full textThe urban growth around the open pit mines causes some problems hard to solve due to possible damage to structures built as result of unwanted ground vibration propagation, blast overpressure, flyrocks, water contamination and also particulate matter dispersion. Currently in Brazil, the environmental constraints are increasingly rigid and it is required seismographic monitoring as a measure of environmental control. Geosonic Inc. was the first to use the iso-seismic maps, but this technique is not commonly used in Brazil due to the high cost of instrumentation and field operation. Iramina (2002) developed a model of vibration predictor equations that simulates an iso-seismic map. Thus, the objective of this work is to verify the methodology developed by Iramina (2002), who implemented an iso-seismic map from eight unidirectional measurements in eight different and sequential detonations in the same bench and analyze alternatives for the construction of iso-seismic maps. Herein were monitored four detonations with four directions in each and 20 seismographs at most. All detonations were monitored in the same bench and with similar characteristics. For each direction were estimated the parameters of the vibration predictor equations and from these equations were obtained and compared different iso-seismic maps. Then, it is concluded that the arrangement of geophones should suit to the objectives of monitoring. In this sense, eight to fifteen aligned geophones are suitable for a good load-distance curve, sixty-four geophones or more spatially well distributed, must generate a iso-seismic map corresponding to a single detonation. The high variability of the characteristics of the rock mass does not seem to allow good results when the seismograph are not well distributed around the detonation.
Sirvent, Mathias [Verfasser], Alexander [Akademischer Betreuer] Martin, Alexander [Gutachter] Martin, Winnifried [Gutachter] Wollner, and Sven [Gutachter] Leyffer. "Incorporating Differential Equations into Mixed-Integer Programming for Gas Transport Optimization / Mathias Sirvent ; Gutachter: Alexander Martin, Winnifried Wollner, Sven Leyffer ; Betreuer: Alexander Martin." Erlangen : FAU University Press, 2018. http://d-nb.info/1163806862/34.
Full textLee, Richard Todd. "A novel method for incorporating periodic boundaries into the FDTD method and the application to the study of structural color of insects." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29772.
Full textCommittee Chair: Smith, Glenn; Committee Member: Buck, John; Committee Member: Goldsztein, Guillermo; Committee Member: Peterson, Andrew; Committee Member: Scott, Waymond. Part of the SMARTech Electronic Thesis and Dissertation Collection.
Schwanke, Peter. "Implementation into DIVIMP of a drift-kinetic model derived from the Fokker-Planck equation to examine the parallel-to-B velocity component of impurity ions in divertor-Tokamak plasmas." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/MQ62896.pdf.
Full textOubanas, Hind. "Variational assimilation of satellite data into a full Saint-Venant based hydraulic model in the context of ungauged basins." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30102.
Full textThe present thesis investigates the potential of variational data assimilation (DA) in discharge estimation from the future Surface Water and Ocean Topography (SWOT) satellite mission, using a 1.5D full Saint-Venant hydraulic model in the context of fully ungauged basins. Two distinct approaches for treating the model error are being investigated; the extended control vector approach, and a novel approach based on a modified covariance matrix. Adjoint sensitivity analysis was first performed to assess the local influence of the hydraulic model inputs, on the model response, defined using an objective function of the model state. The latter is highly sensitive to the upstream boundary condition on discharge as well as the river bed elevation and roughness coefficient. Sensitivities indicate the control sections of the river that have major influence on the flow hydraulics, which emphasizes the need of accurate measurements and/or at these locations. Second, the estimation of river discharge from simulated SWOT observations using a variant of the conventional variational DA method '4D-Var' has been investigated. The variational DA scheme involves an extended control vector and is developed to apply the method to fully ungauged basins. The method was tested using two experimental set-ups: (i) Observing System Simulation Experiments over the Garonne River and a more realistic and general framework using (ii) the SWOT hydrology simulator, which simulates the radar system on-board the satellite, over the Po and Sacramento Rivers. Water surface elevation was assimilated leading to local improvements on bathymetry and roughness which allowed successful estimation of discharge. Nevertheless, the estimates of the space distributed variables are subjected to the equifinality issue which may prevent their use for subsequent applications. Moreover, results emphasize that successful estimation of discharge over the whole study period requires an observation frequency comparable to the characteristic time of the hydraulic system. Finally, a novel method for the treatment of the model error using the variational approach is proposed. Based on the 'nuisance parameter' idea, it allows implicit treatment of the model error by using a modified observation covariance matrix. The equivalency theorem substantiating the method has been proved. A case of the biased model error is also considered. Numerical experiments involving the 1D generalized Burger's equation and the 1.5D full Saint-Venant equations illustrate the presented theory
Mogos, Mulubrhan Fisseha. "Translation and Adaptation of the Center for Epidemiologic Studies-Depression (CES-D) Scale Into Tigrigna Language for Tigrigna Speaking Eritrean Immigrants in the United States." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3251.
Full textPurohit, Ashish. "An investigation into the use of social media channels within the South African retail banking environment in support of creating and maintaining brand loyalty." Thesis, Rhodes University, 2015. http://hdl.handle.net/10962/d1018920.
Full textMorel, Pierre. "Le modèle « water bag » appliqué aux équations cinétiques des plasmas de Tokamak." Thesis, Nancy 1, 2008. http://www.theses.fr/2008NAN10153/document.
Full textA drift-kinetic model in cylindrical geometry has been used to study Ion Temperature Gradients (ITG). The cylindrical plasma is considered as a limit case of a stretched torus. The magnetic field is assumed uniform and constant; it is directed along the axis of the column. A discrete distribution function f taking the form of a multi-step like function is used in place of the continuous distribution function along the parallel velocity direction. With respect to the properties of the Heaviside?s distribution, the Vlasov equation is reduced to a system of fluids coupled by the electromagnetic fields. This model is well suited mainly for problems involving a phase space with one velocity component. In the case of magnetized plasmas it gives an alternative way to study turbulence thanks to the gyro-average whose allows reducing the 3D velocity space into a 1D space. Parameters introduced by the water bag formalism have been linked to physical quantities by an original method of moment-sense equivalence. In the linear approximation, the water bag study of the ITG instability allows an interesting comparison with some well-known analytical results. The water-bag concept is not affected by taking into account Finite Larmor Radius effects. It well describes the case of multi-species plasma
Baštek, Jozef. "Modelování a zobrazování pomocí blobů." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2011. http://www.nusl.cz/ntk/nusl-237054.
Full textKothamachu, Varun Bhaskar. "An investigation into dynamic and functional properties of prokaryotic signalling networks." Thesis, University of Exeter, 2016. http://hdl.handle.net/10871/26597.
Full textŠimák, Jakub. "Měření průtoku vzduchu pomocí víceotvorových rychlostních sond." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2011. http://www.nusl.cz/ntk/nusl-219230.
Full textMedeiros, Stephen Conroy. "Incorporating Remotely Sensed Data into Coastal Hydrodynamic Models: Parameterization of Surface Roughness and Spatio-Temporal Validation of Inundation Area." Doctoral diss., University of Central Florida, 2012. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5434.
Full textID: 031001547; System requirements: World Wide Web browser and PDF reader.; Mode of access: World Wide Web.; Adviser: Scott C. Hagen.; Co-adviser: John F. Weishampel.; Title from PDF title page (viewed August 23, 2013).; Thesis (Ph.D.)--University of Central Florida, 2012.; Includes bibliographical references.
Ph.D.
Doctorate
Civil, Environmental and Construction Engineering
Engineering and Computer Science
Civil Engineering
Habib, Abdulrahman. "A Smart Tale: An Examination of the Smart City Phenomena through the Lens of a Case Study." Thesis, University of North Texas, 2019. https://digital.library.unt.edu/ark:/67531/metadc1538676/.
Full textPimentel, Edgard Almeida. "Um ensaio em teoria dos jogos." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/45/45132/tde-31082010-091851/.
Full textThis dissertation aims to address the topic of Differential Game Theory in its connection with the Hamilton-Jacobi (HJ) equations framework. Firstly we introduce the idea of solution for a game, through the discussion of Nash equilibria and its refinements. Secondly, the solution concept is then translated to the context of Differential Games and the idea of value function is introduced in its Isaacs\'s as well as Friedman\'s version. As the value function is discussed, its relationship with the Hamilton-Jacobi equations theory becomes self-evident. Due to such relation, we investigate the HJ equation from two distinct points of view. First of all, we discuss a statement according to which if a differential game has a continuously differentiable value function, then such function is a classical solution of the HJ equation associated to the game. This result strongly relies on Bellman\'s Dynamic Programming Principle - and this is the reason why we devote an entire chapter to this theme. Furthermore, HJ is still at our sight from the PDE point of view. Our motivation is simple: under some lack of regularity - a value function which is continuous, but not continuously differentiable - a game may still have a value function represented as a solution of the associated HJ equation. In this case such a solution will be called a solution in the viscosity sense. We then discuss the properties of viscosity solutions as well as provide an existence and uniqueness theorem. Finally we turn our attention back to the theory of games and - through the notion of viscosity - establish the existence and uniqueness of value functions for a differential game within viscosity solution theory.
Bright, Andrew G. "Mechanistic Insights into the Stabilisation of Biopharmaceuticals using Glycine Derivatives. The Effect of Glycine Derivatives on the Crystallisation, Physical Properties and Behaviour of Commonly used Excipients to Stabilise Antigens, Adjuvants and Proteins in the Solid State." Thesis, University of Bradford, 2015. http://hdl.handle.net/10454/15943.
Full textBauzet, Caroline. "Etude d'équations aux dérivées partielles stochastiques." Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3007/document.
Full textThis thesis deals with the mathematical field of stochastic nonlinear partial differential equations’ analysis. We are interested in parabolic and hyperbolic PDE stochastically perturbed in the Itô sense. We introduce randomness by adding a stochastic integral (Itô integral), which can depend or not on the solution. We thus talk about a multiplicative noise or an additive one. The presence of the random variable does not allow us to apply systematically classical tools of PDE analysis. Our aim is to adapt known techniques of the deterministic setting to nonlinear stochastic PDE analysis by proposing alternative methods. Here are the obtained results : In Chapter I, we investigate on a stochastic perturbation of Barenblatt equations. By using an implicit time discretization, we establish the existence and uniqueness of the solution in the additive case. Thanks to the properties of such a solution, we are able to extend this result to the multiplicative noise using a fixed-point theorem. In Chapter II, we consider a class of stochastic equations of Barenblatt type but in an abstract frame. It is about a generalization of results from Chapter I. In Chapter III, we deal with the study of the Cauchy problem for a stochastic conservation law. We show existence of solution via an artificial viscosity method. The compactness arguments are based on Young measure theory. The uniqueness result is proved by an adaptation of the Kruzhkov doubling variables technique. In Chapter IV, we are interested in the Dirichlet problem for the stochastic conservation law studied in Chapter III. The remarkable point is the use of the Kruzhkov semi-entropies to show the uniqueness of the solution. In Chapter V, we introduce a splitting method to propose a numerical approach of the problem studied in Chapter IV. Then we finish by some simulations of the stochastic Burgers’ equation in the one dimensional case
Miozzi, Ferrini Francesca. "Experimental study of the Fe-Si-C system and application to carbon rich exoplanet." Electronic Thesis or Diss., Sorbonne université, 2019. https://accesdistant.sorbonne-universite.fr/login?url=https://theses-intra.sorbonne-universite.fr/2019SORUS241.pdf.
Full textMore than 4000 exoplanets have been discovered, orbiting around stars with a wide variety of composition. Such planets are detected and studied through indirect methods that in many cases give access to the main properties of the planets: mass and radius. The same parameters can be calculated from a chosen model and compared to the observed ones. However it is difficult for planets orbiting around stars with compositions very different from our Sun, for example carbon enriched, as the physical properties carbides (i.e. silicon carbides and iron carbides) at extreme pressure are unknown. In this work the Si-C and Fe-Si-C systems were studied in the range between 20 and 200 GPa and 300-3000 K employing X-ray diffraction and chemical analyses on the recovered samples were used to determine the physical properties at extreme conditions. In the Si-C system the equations of state and thermal model for both the low pressure and high pressure phases were determined. The results were then used to model a mass radius plot for different archetypal planets with a Fe core and SiC mantle. Regarding the Fe-Si-C system a ternary phase diagram was reconstructed up to 200 GPa and 3000 K. Assuming Fe-Si-C as main component of planetary cores, four different crystallization paths are individuated, giving rise to way different dynamical behaviour. We conclude that using only mass radius relations is not sufficient to determine the interior composition and structure of an observed exoplanet and further data relative to the chemistry are needed, for example the composition of the host star
Wiedemann, Hartmut. "Cliometrische Untersuchungen zur Bildungsökonomie in Deutschland." Doctoral thesis, Humboldt-Universität zu Berlin, Philosophische Fakultät IV, 2013. http://dx.doi.org/10.18452/16756.
Full textThe primary objective of this thesis is to provide proof for the central hypothesis of Human Capital Theory, that investment in education, research and development generates an increase in output for society and for the individual. Analysis will be made on the basis of long time series for Germany by making use of cliometric and econometric methods. The findings will then be thoroughly discussed and critically compared. To begin with, and to give a better understanding of the issue the initiatives of the educational-policy-makers will be described and put into relation to the educational situation in former West Germany and reunited Germany since 1990. The main aspect of this piece of research is to outline the genesis of economics of education, its core statements and underlying mathematical models. Furthermore, important statistical data which has already been published regarding (for example) the costs and return of investments in education, research and development will be presented. In the conclusion of this thesis, the interdependences of spending in education, research and development with inter alia graduation and gross domestic product (GDP) will be analysed by the means of time series analysis. When variables are cointegrated, estimates will be subjected to an estimate correction in order to avoid a spurious regression. The interdependency of the variables in the Human Capital Theory is affirmed, although the estimating equations give different results for the coefficients of determination.
Fredericks, E. "Conservation laws and their associated symmetries for stochastic differential equations." Thesis, 2009. http://hdl.handle.net/10539/6980.
Full textRached, Nadhir B. "Hybrid Adaptive Multilevel Monte Carlo Algorithm for Non-Smooth Observables of Itô Stochastic Differential Equations." Thesis, 2013. http://hdl.handle.net/10754/306490.
Full textFoster, Stephanie Ann. "Parametric equations : an investigation into ladder applications." Thesis, 2011. http://hdl.handle.net/2152/ETD-UT-2011-08-3800.
Full texttext
Kao, Chien-Yu, and 高千渝. "Investigation into nanowire coupling efficiency through the simulation of Maxwell’s equation." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/66829970091185562468.
Full text國立臺灣大學
工程科學及海洋工程學研究所
104
An explicit finite-difference scheme for solving the three-dimensional Maxwell’s equations in staggered grids is presented in time domain. The aim of this thesis is to solve the Faraday’s and Amp`ere’s equations in time domain within the discrete zero-divergence context for the electric and magnetic fields (or Gauss’s law). The local conservation laws in Maxwell’s equations are also numerically preserved all the time using proposed the explicit second-order accurate symplectic partitioned Runge-Kutta temporal scheme. Following the method of lines, the spatial derivative terms in the semi-discretized Faraday’s and Amp`ere’s equations are then properly discretized to get a phase very accurate solution. To achieve the goal of getting the best dispersive characteristics, this centered scheme minimizes the difference between the exact and numerical phase velocities. The significant dispersion and anisotropy errors manifested normally in finite difference time domain methods are therefore much reduced. The dual-preserving (symplecticity and dispersion relation equation) solver is numerically demonstrated to be efficient for use to get in particular a long-term accurate Maxwell’s solution. By applying the developed FDTD scheme, we aim to study the wave propagation issue on nanowires. The efficency of evanescent coupling between two air-clad silica nanowires with diameter D = 350nm in HE11 single-mode operation is addressed. In the overlapping region, we can see that the electric, magnetic and poynting fields vary between two nanowires by cutting 2D-planes and 1D-Y-axis with different a streamwise positions. From the property of conservation of energy of Poynting theory, we confirm the validity of the propoesd finite difference method. Based on the computed 3D result of solving the Maxwell’s equations, we can clearly predict not only the streamlines of eletric and magnetic fields of HE11 mode in two nanowires but can also reveal the streaklines of them in the overlapping region.
Yao, Chin-Yuan, and 姚智元. "The use of structural equation modeling control mechanisms into RFID system reliability." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/53851468230469336613.
Full text國立勤益科技大學
工業工程與管理系
98
In the global competition environment, enterprise faces with many kinds of challenge. To maintain the enterprise’s competition in the market, constantly improving internal /external efficiency of entire supply chain is the major issue. There are many enterprises who have launched the RFID applications in their supply chain management, and these enterprises have had successfully improved the efficiency of supply chain. Therefore, to retain the reliability of complicated RFID system and the system security are the most problems need to be address. RFID system consists of tags, antennas, readers, middleware and computer application systems, this research will rearrange the above components to three major subsystems, hardware, software, and remote monitoring subsystem. The components of each subsystem will be defined for further reliability study. The failure rate of each component will be obtained thru elaborative lab experiments, and recorded. With the method of Structural equation model (SEM), the key subsystem of RFID system which affects the total reliability will be identified. Through regression analysis, the results of research will provide a clear for future research and enterprises who wish to verify the reliability of RFID application system Keywords: RFID, reliability, structural equation modeling.
Ting, Yu Kai, and 丁於楷. "New Physical Insight into the Fluid Dynamics of Lorenz Equations." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/wvktrb.
Full text國立清華大學
動力機械工程學系
103
New physical insight into the variables and parameters of nonlinear Lorenz equations are discussed in this work. In 1963, the equations are derived from the model of natural convection by Lorenz and are noted for chaotic motion. The chaos means system has an irregular motion, and is sensitive to initial conditions. The Lorenz equations have been studied in many papers, which are focus on the stability and the chaotic dynamics. However, the physical implication comparing the Lorenz equations with natural convection attracts little attention in past literatures. Therefore, first step is to derive the Lorenz equations which are ordinary differential equations from the original partial differential equations of natural convection, including assumptions, the derivation, and the simulation results. Then, derive the Lorenz equations again with different forced conditions, which are viscosity, buoyancy, and diffusion. With respect to the simulations of the modified Lorenz equations, observe the relation between the variables and the forced conditions. At last, due to the nonlinear passivity theory and known physical implication, propose the physical insight into the variables and parameters of the Lorenz equations. The study propose that the variables of Lorenz equations, x, y, z, are kinetic energy, thermodynamic potential energy, and total energy respectively. Use kinds of method or theory to prove it. Moreover, it’s better to verify the insight by experiment in the future. Expect that the analysis method applies to the known chaotic systems.
楊仕榮. "The study of game integration into mathematical equations for supplementary teaching." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/78206346127085437909.
Full textHe, Jie, and 何潔. "The Research of the Computer Programming into the Game Associate with the Linear Equation." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/35467576855665304308.
Full text中原大學
應用數學研究所
101
In this research program, we investigate the common cup-turning problem. First, we make the flow chart of the (cup-turning) process. Secondly, we transfer the problem into computer games with the help of programming language. It helps students to understand the mathematical problems behind the cup-turning process when they are playing the game.