Relevant bibliographies by topics / Numerical computation and mathematical software

Academic literature on the topic 'Numerical computation and mathematical software'

Author: Grafiati
Published: 10 December 2022
Last updated: 19 February 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Contents

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Numerical computation and mathematical software.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Numerical computation and mathematical software"

1

Prasetya, Dwi Sabda Budi, and Indira Puteri Kinasih. "KAJIAN GELOMBANG SATU DIMENSI BERDASARKAN HASIL KOMPUTASI NUMERIK." Lensa : Jurnal Kependidikan Fisika 2, no. 2 (December 24, 2014): 217. http://dx.doi.org/10.33394/j-lkf.v2i2.314.

Full text
Abstract:
One-dimensional wave problem research has been done based on numerical computation reviews. The one-dimensional wave equation has been completed using the finite difference method. Results of completion based on the results of numerical computation reviews are simulated using MATLAB programming software. The simulation suggests that numerical computation is reliable for solving mathematical equations.
APA, Harvard, Vancouver, ISO, and other styles
2

Matos, José A. O., and Paulo B. Vasconcelos. "Effectiveness of Floating-Point Precision on the Numerical Approximation by Spectral Methods." Mathematical and Computational Applications 26, no. 2 (May 26, 2021): 42. http://dx.doi.org/10.3390/mca26020042.

Full text
Abstract:
With the fast advances in computational sciences, there is a need for more accurate computations, especially in large-scale solutions of differential problems and long-term simulations. Amid the many numerical approaches to solving differential problems, including both local and global methods, spectral methods can offer greater accuracy. The downside is that spectral methods often require high-order polynomial approximations, which brings numerical instability issues to the problem resolution. In particular, large condition numbers associated with the large operational matrices, prevent stable algorithms from working within machine precision. Software-based solutions that implement arbitrary precision arithmetic are available and should be explored to obtain higher accuracy when needed, even with the higher computing time cost associated. In this work, experimental results on the computation of approximate solutions of differential problems via spectral methods are detailed with recourse to quadruple precision arithmetic. Variable precision arithmetic was used in Tau Toolbox, a mathematical software package to solve integro-differential problems via the spectral Tau method.
APA, Harvard, Vancouver, ISO, and other styles
3

Cheng, Yumin. "Preface to the Special Issue on “Numerical Computation, Data Analysis and Software in Mathematics and Engineering”." Mathematics 10, no. 13 (June 29, 2022): 2267. http://dx.doi.org/10.3390/math10132267.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Gaidamauskaitė, E., and R. Baronas. "A Comparison of Finite Difference Schemes for Computational Modelling of Biosensors." Nonlinear Analysis: Modelling and Control 12, no. 3 (July 25, 2007): 359–69. http://dx.doi.org/10.15388/na.2007.12.3.14697.

Full text
Abstract:
This paper presents a one-dimensional-in-space mathematical model of an amperometric biosensor. The model is based on the reaction-diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reactions. The stated problem is solved numerically by applying the finite difference method. Several types of finite difference schemes are used. The numerical results for the schemes and couple mathematical software packages are compared and verified against known analytical solutions. Calculation results are compared in terms of the precision and computation time.
APA, Harvard, Vancouver, ISO, and other styles
5

Sofroniou, Mark, and Giulia Spaletta. "Precise numerical computation." Journal of Logic and Algebraic Programming 64, no. 1 (July 2005): 113–34. http://dx.doi.org/10.1016/j.jlap.2004.07.007.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Lundin, L. K., V. A. Barker, and J. N. Sørensen. "PARALLEL COMPUTATION OF ROTATING FLOWS." Mathematical Modelling and Analysis 4, no. 1 (December 15, 1999): 124–34. http://dx.doi.org/10.3846/13926292.1999.9637117.

Full text
Abstract:
This paper deals with the simulation of 3‐D rotating flows based on the velocity‐vorticity formulation of the Navier‐Stokes equations in cylindrical coordinates. The governing equations are discretized by a finite difference method. The solution is advanced to a new time level by a two‐step process. In the first step, the vorticity at the new time level is computed using the velocity at the previous time level. In the second step, the velocity at the new time level is computed using the new vorticity. We discuss here the second part which is by far the most time‐consuming. The numerical problem is that of solving a singular, large, sparse, over‐determined linear system of equations, and the iterative method CGLS is applied for this purpose. We discuss some of the mathematical and numerical aspects of this procedure and report on the performance of our software on a wide range of parallel computers.
APA, Harvard, Vancouver, ISO, and other styles
7

Viklund, Lars, and Peter Fritzson. "ObjectMath – An Object-Oriented Language and Environment for Symbolic and Numerical Processing in Scientific Computing." Scientific Programming 4, no. 4 (1995): 229–50. http://dx.doi.org/10.1155/1995/829697.

Full text
Abstract:
ObjectMath is a language for scientific computing that integrates object-oriented constructs with features for symbolic and numerical computation. Using ObjectMath, complex mathematical models may be implemented in a natural way. The ObjectMath programming environment provides tools for generating efficient numerical code from such models. Symbolic computation is used to rewrite and simplify equations before code is generated. One novelty of the ObjectMath approach is that it provides a comman language and an integrated environment for this kind of mixed symbolic/numerical computation. The motivation for this work is the current low-level state of the art in programming for scientific computing. Much numerical software is still being developed the traditional way in Fortran. This is especially true in application areas such as machine elements analysis, where complex nonlinear problems are the norm. We believe that tools like ObjectMath can increase productivity and quality, thus enabling users to solve problems that are too complex to handle with traditional tools.
APA, Harvard, Vancouver, ISO, and other styles
8

Tong, T. O., M. C. Kekana, M. Y. Shatalov, and S. P. Moshokoa. "Numerical Investigation of Brusselator Chemical Model by Residual Function Using Mathematica Software." Journal of Computational and Theoretical Nanoscience 17, no. 7 (July 1, 2020): 2947–54. http://dx.doi.org/10.1166/jctn.2020.9324.

Full text
Abstract:
In recent years, mathematical models have been developed to illustrate some physical phenomena in science and engineering. One of those systems of nonlinear differential equations is Brusselator chemical model. A mathematical template of checking accuracy of from black-boxes has been developed and investigated. Brusselator model is used as case study as its analytical solution is non-existence. The algorithms investigated from Mathematica software includes Adams method, Backward differential formula (BDF) and Implicit Runge-Kutta method which works well on stiff systems. The graphical results are on interval of 0 ≤ t ≤ 30.
APA, Harvard, Vancouver, ISO, and other styles
9

Javanbakht, Masoumeh, and Tomas Sauer. "Numerical computation of H-bases." BIT Numerical Mathematics 59, no. 2 (October 6, 2018): 417–42. http://dx.doi.org/10.1007/s10543-018-0733-x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Sabin, Malcolm. "Numerical geometry of surfaces." Acta Numerica 3 (January 1994): 411–66. http://dx.doi.org/10.1017/s0962492900002476.

Full text
Abstract:
The mathematical techniques used within Computer Aided Design software for the representation and calculation of surfaces of objects are described. First the main techniques for dealing with surfaces as computational objects are described, and then the methods for enquiring of such surfaces the properties required for their assessment and manufacture.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Numerical computation and mathematical software"

1

Bienvenu, Kirk Jr. "Underwater Acoustic Signal Analysis Toolkit." ScholarWorks@UNO, 2017. https://scholarworks.uno.edu/td/2398.

Full text
Abstract:
This project started early in the summer of 2016 when it became evident there was a need for an effective and efficient signal analysis toolkit for the Littoral Acoustic Demonstration Center Gulf Ecological Monitoring and Modeling (LADC-GEMM) Research Consortium. LADC-GEMM collected underwater acoustic data in the northern Gulf of Mexico during the summer of 2015 using Environmental Acoustic Recording Systems (EARS) buoys. Much of the visualization of data was handled through short scripts and executed through terminal commands, each time requiring the data to be loaded into memory and parameters to be fed through arguments. The vision was to develop a graphical user interface (GUI) that would increase the productivity of manual signal analysis. It has been expanded to make several calculations autonomously for cataloging and meta data storage of whale clicks. Over the last year and a half, a working prototype has been developed with MathWorks matrix laboratory (MATLAB), an integrated development environment (IDE). The prototype is now very modular and can accept new tools relatively quickly when development is completed. The program has been named Banshee, as the mythical creatures are known to “wail”. This paper outlines the functionality of the GUI, explains the benefits of frequency analysis, the physical models that facilitate these analytics, and the mathematics performed to achieve these models.
APA, Harvard, Vancouver, ISO, and other styles
2

Lesage, Pierre-Yves. "Numerical computation and software design." Thesis, Cranfield University, 1999. http://dspace.lib.cranfield.ac.uk/handle/1826/11134.

Full text
Abstract:
The development of simulation tools is becoming an important area in industry, recently fostered by the tremendous improvements in computer hardware. Many physical problems can be simulated by being modelled by mathematical equations which can then be solved numerically. This thesis is concerned with the development of a Finite Difference solver for time dependent partial differential equations. The development involves a number of challenging requirements that the solver must meet: to have the capacity of solving conservation and non-conservation laws (using several numerical techniques), to be robust, efficient and to have a modular and extendible design. Firstly, we focus on the architecture of the program and how an original design approach was used in order to carry out its development. A combination of Object- Oriented Design and Structured Design was adopted.
APA, Harvard, Vancouver, ISO, and other styles
3

Lesage, P.-Y. "Numerical computation and software design." Thesis, Cranfield University, 1999. http://dspace.lib.cranfield.ac.uk/handle/1826/11134.

Full text
Abstract:
The development of simulation tools is becoming an important area in industry, recently fostered by the tremendous improvements in computer hardware. Many physical problems can be simulated by being modelled by mathematical equations which can then be solved numerically. This thesis is concerned with the development of a Finite Difference solver for time dependent partial differential equations. The development involves a number of challenging requirements that the solver must meet: to have the capacity of solving conservation and non-conservation laws (using several numerical techniques), to be robust, efficient and to have a modular and extendible design. Firstly, we focus on the architecture of the program and how an original design approach was used in order to carry out its development. A combination of Object- Oriented Design and Structured Design was adopted.
APA, Harvard, Vancouver, ISO, and other styles
4

Chang, Tyler Hunter. "Mathematical Software for Multiobjective Optimization Problems." Diss., Virginia Tech, 2020. http://hdl.handle.net/10919/98915.

Full text
Abstract:
In this thesis, two distinct problems in data-driven computational science are considered. The main problem of interest is the multiobjective optimization problem, where the tradeoff surface (called the Pareto front) between multiple conflicting objectives must be approximated in order to identify designs that balance real-world tradeoffs. In order to solve multiobjective optimization problems that are derived from computationally expensive blackbox functions, such as engineering design optimization problems, several methodologies are combined, including surrogate modeling, trust region methods, and adaptive weighting. The result is a numerical software package that finds approximately Pareto optimal solutions that are evenly distributed across the Pareto front, using minimal cost function evaluations. The second problem of interest is the closely related problem of multivariate interpolation, where an unknown response surface representing an underlying phenomenon is approximated by finding a function that exactly matches available data. To solve the interpolation problem, a novel algorithm is proposed for computing only a sparse subset of the elements in the Delaunay triangulation, as needed to compute the Delaunay interpolant. For high-dimensional data, this reduces the time and space complexity of Delaunay interpolation from exponential time to polynomial time in practice. For each of the above problems, both serial and parallel implementations are described. Additionally, both solutions are demonstrated on real-world problems in computer system performance modeling.
Doctor of Philosophy
Science and engineering are full of multiobjective tradeoff problems. For example, a portfolio manager may seek to build a financial portfolio with low risk, high return rates, and minimal transaction fees; an aircraft engineer may seek a design that maximizes lift, minimizes drag force, and minimizes aircraft weight; a chemist may seek a catalyst with low viscosity, low production costs, and high effective yield; or a computational scientist may seek to fit a numerical model that minimizes the fit error while also minimizing a regularization term that leverages domain knowledge. Often, these criteria are conflicting, meaning that improved performance by one criterion must be at the expense of decreased performance in another criterion. The solution to a multiobjective optimization problem allows decision makers to balance the inherent tradeoff between conflicting objectives. A related problem is the multivariate interpolation problem, where the goal is to predict the outcome of an event based on a database of past observations, while exactly matching all observations in that database. Multivariate interpolation problems are equally as prevalent and impactful as multiobjective optimization problems. For example, a pharmaceutical company may seek a prediction for the costs and effects of a proposed drug; an aerospace engineer may seek a prediction for the lift and drag of a new aircraft design; or a search engine may seek a prediction for the classification of an unlabeled image. Delaunay interpolation offers a unique solution to this problem, backed by decades of rigorous theory and analytical error bounds, but does not scale to high-dimensional "big data" problems. In this thesis, novel algorithms and software are proposed for solving both of these extremely difficult problems.
APA, Harvard, Vancouver, ISO, and other styles
5

Moosbrugger, John C. "Numerical computation of metal/mold boundary heat flux in sand castings using a finite element enthalpy model." Thesis, Georgia Institute of Technology, 1985. http://hdl.handle.net/1853/16365.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Lawson, Jane. "Towards error control for the numerical solution of parabolic equations." Thesis, University of Leeds, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329947.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Yau, Shuk-Han Ada. "Numerical analysis of finite difference schemes in automatically generated mathematical modeling software." Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/35407.

Full text
Abstract:
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1994.
Includes bibliographical references (leaves 64-65).
by Shuk-Han Ada Yau.
M.S.
APA, Harvard, Vancouver, ISO, and other styles
8

Rebaza-Vasquez, Jorge. "Computation and continuation of equilibrium-to-periodic and periodic-to-periodic connections." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/28991.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Shi, Bin. "A Mathematical Framework on Machine Learning: Theory and Application." FIU Digital Commons, 2018. https://digitalcommons.fiu.edu/etd/3876.

Full text
Abstract:
The dissertation addresses the research topics of machine learning outlined below. We developed the theory about traditional first-order algorithms from convex opti- mization and provide new insights in nonconvex objective functions from machine learning. Based on the theory analysis, we designed and developed new algorithms to overcome the difficulty of nonconvex objective and to accelerate the speed to obtain the desired result. In this thesis, we answer the two questions: (1) How to design a step size for gradient descent with random initialization? (2) Can we accelerate the current convex optimization algorithms and improve them into nonconvex objective? For application, we apply the optimization algorithms in sparse subspace clustering. A new algorithm, CoCoSSC, is proposed to improve the current sample complexity under the condition of the existence of noise and missing entries. Gradient-based optimization methods have been increasingly modeled and inter- preted by ordinary differential equations (ODEs). Existing ODEs in the literature are, however, inadequate to distinguish between two fundamentally different meth- ods, Nesterov’s acceleration gradient method for strongly convex functions (NAG-SC) and Polyak’s heavy-ball method. In this paper, we derive high-resolution ODEs as more accurate surrogates for the two methods in addition to Nesterov’s acceleration gradient method for general convex functions (NAG-C), respectively. These novel ODEs can be integrated into a general framework that allows for a fine-grained anal- ysis of the discrete optimization algorithms through translating properties of the amenable ODEs into those of their discrete counterparts. As a first application of this framework, we identify the effect of a term referred to as gradient correction in NAG-SC but not in the heavy-ball method, shedding deep insight into why the for- mer achieves acceleration while the latter does not. Moreover, in this high-resolution ODE framework, NAG-C is shown to boost the squared gradient norm minimization at the inverse cubic rate, which is the sharpest known rate concerning NAG-C itself. Finally, by modifying the high-resolution ODE of NAG-C, we obtain a family of new optimization methods that are shown to maintain the accelerated convergence rates as NAG-C for minimizing convex functions.
APA, Harvard, Vancouver, ISO, and other styles
10

Wijns, Christopher P. "Exploring conceptual geodynamic models : numerical method and application to tectonics and fluid flow." University of Western Australia. School of Earth and Geographical Sciences, 2005. http://theses.library.uwa.edu.au/adt-WU2005.0068.

Full text
Abstract:
Geodynamic modelling, via computer simulations, offers an easily controllable method for investigating the behaviour of an Earth system and providing feedback to conceptual models of geological evolution. However, most available computer codes have been developed for engineering or hydrological applications, where strains are small and post-failure deformation is not studied. Such codes cannot simultaneously model large deformation and porous fluid flow. To remedy this situation in the face of tectonic modelling, a numerical approach was developed to incorporate porous fluid flow into an existing high-deformation code called Ellipsis. The resulting software, with these twin capabilities, simulates the evolution of highly deformed tectonic regimes where fluid flow is important, such as in mineral provinces. A realistic description of deformation depends on the accurate characterisation of material properties and the laws governing material behaviour. Aside from the development of appropriate physics, it can be a difficult task to find a set of model parameters, including material properties and initial geometries, that can reproduce some conceptual target. In this context, an interactive system for the rapid exploration of model parameter space, and for the evaluation of all model results, replaces the traditional but time-consuming approach of finding a result via trial and error. The visualisation of all solutions in such a search of parameter space, through simple graphical tools, adds a new degree of understanding to the effects of variations in the parameters, the importance of each parameter in controlling a solution, and the degree of coverage of the parameter space. Two final applications of the software code and interactive parameter search illustrate the power of numerical modelling within the feedback loop to field observations. In the first example, vertical rheological contrasts between the upper and lower crust, most easily related to thermal profiles and mineralogy, exert a greater control over the mode of crustal extension than any other parameters. A weak lower crust promotes large fault spacing with high displacements, often overriding initial close fault spacing, to lead eventually to metamorphic core complex formation. In the second case, specifically tied to the history of compressional orogenies in northern Nevada, exploration of model parameters shows that the natural reactivation of early normal faults in the Proterozoic basement, regardless of basement topography or rheological contrasts, would explain the subsequent elevation and gravitationally-induced thrusting of sedimentary layers over the Carlin gold trend, providing pathways and ponding sites for mineral-bearing fluids.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Numerical computation and mathematical software"

1

Numerical computation: Methods, software, and analysis. Berlin: Springer, 1997.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Borwein, Jonathan M. An Introduction to Modern Mathematical Computing: With Mathematica®. New York, NY: Springer New York, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

A short course in computational science and engineering: C++, Java, and Octave numerical programming with free software tools. New York: Cambridge University Press, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

(Firm), Numerical Recipes Software, ed. Numerical recipes: Routines and examples in BASIC. Cambridge [England]: Cambridge University Press, 1991.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Paul, Hovland, Phipps Eric, Utke Jean, Walther Andrea, and SpringerLink (Online service), eds. Recent Advances in Algorithmic Differentiation. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Borwein, Jonathan M. An Introduction to Modern Mathematical Computing: With Maple™. New York, NY: Springer Science+Business Media, LLC, 2011.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Kambiz, Salari, ed. Verification of computer codes in computational science and engineering. Boca Raton, Fla: Chapman & Hall/CRC Press, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Nanfara, Frank. The CNC workshop: A multimedia introduction to computer numerical control. Reading, MA: Addison-Wesley, 1999.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

David, Hutchison. Numerical Analysis and Its Applications: 4th International Conference, NAA 2008, Lozenetz, Bulgaria, June 16-20, 2008. Revised Selected Papers. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

1945-, Fitch John, ed. Design and implementation of symbolic computation systems: International Symposium, DISCO '92, Bath, U.K., April 13-15, 1992 : proceedings. Berlin: Springer-Verlag, 1993.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Numerical computation and mathematical software"

1

Mo, Asbjørn, Torgeir Rusten, and Håvard J. Thevik. "Computation of Macrosegregation due to Solidification Shrinkage." In Numerical Methods and Software Tools in Industrial Mathematics, 177–94. Boston, MA: Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-1984-2_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Yu, Jihun, Chee Yap, Zilin Du, Sylvain Pion, and Hervé Brönnimann. "The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra." In Mathematical Software – ICMS 2010, 121–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15582-6_24.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Ueberhuber, Christoph W. "Available Numerical Software." In Numerical Computation 1, 272–307. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59118-1_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Gansterer, Wilfried N., Dieter F. Kvasnicka, and Christoph W. Ueberhuber. "Blocking Techniques in Numerical Software." In Parallel Computation, 127–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-49164-3_13.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Ueberhuber, Christoph W. "Using Approximation in Mathematical Model Building." In Numerical Computation 1, 308–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-59118-1_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Coughran, W. M. "Network-based scientific computation via Inferno." In Quality of Numerical Software, 267–69. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-5041-2940-4_21.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Lecerf, Grégoire. "Mathemagix: Towards Large Scale Programming for Symbolic and Certified Numeric Computations." In Mathematical Software – ICMS 2010, 329–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15582-6_52.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Borwein, Jonathan M. "Experimental Computation and Visual Theorems." In Mathematical Software – ICMS 2014, 1–8. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44199-2_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Ceria, Michela, Teo Mora, and Andrea Visconti. "Efficient Computation of Squarefree Separator Polynomials." In Mathematical Software – ICMS 2018, 98–104. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96418-8_12.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

van Hoeij, Mark, and Raimundas Vidunas. "Computation of Genus 0 Belyi Functions." In Mathematical Software – ICMS 2014, 92–98. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44199-2_16.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Numerical computation and mathematical software"

1

DOS REIS, G., B. MOURRAIN, PH TRÉBUCHET, and F. ROUILLIER. "AN ENVIRONMENT FOR SYMBOLIC AND NUMERIC COMPUTATION." In Proceedings of the First International Congress of Mathematical Software. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777171_0024.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

BARRETT, J., M. G. COX, M. P. DAINTON, and P. M. HARRIS. "A METHODOLOGY FOR TESTING THE NUMERICAL ACCURACY OF SCIENTIFIC SOFTWARE USED IN METROLOGY." In Advanced Mathematical and Computational Tools in Metrology. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811684_0004.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Singh, Amit J., and Madasamy Arockiasamy. "Mathematical Modeling and Numerical Simulation of Fluid Flow Effects on Marine Current Turbines." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-50325.

Full text
Abstract:
This paper presents a numerical model to study the fluid flow effects in an idealized, full scale marine current turbine. The effect of changing fluid flow conditions on the operation and structural integrity of a marine current turbine is of utmost importance in designing the shape, size and composition of the turbine blade. The model uses the measured current velocity offshore the coast of Ft. Lauderdale, Florida. A probability distribution function is used to describe the probability of exceedance of the current velocity. The effects of free surface, kinematic viscosity and pitch angle are considered in this study. The turbine rotor is modeled using a 3D computer aided design (CAD) tool, SolidWorks. The rotor and the computational domain are meshed using geometric mesh generation software, ANSYS ICEM CFD. ANSYS FLUENT software is used to model the fluid flow interactions by solving the conservation equations for mass and momentum, considering non-uniform inflows and turbulence. The model will provide a methodology for predicting the lift and drag coefficients, bending moments and center of pressure in the turbine rotor. The results from this study can be used to predict the fatigue life of a turbine blade based on the statistical data of the current profile at a particular location. Furthermore, the estimation of power generation and efficiency of the turbine can be calculated to provide the information needed to evaluate the feasibility and economics of the energy converter.
APA, Harvard, Vancouver, ISO, and other styles
4

Shokouhfar, Shahram, and Sayyid Mahdi Khorsandijou. "Developing a Numerical Simulation Software for 3D Multibody Systems Based on a Unified Computational Modeling Technique." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86550.

Full text
Abstract:
This article represents the features and capabilities of a newly developed application namely MASS (Mechanisms Analysis and Simulation Software) and the formulation and techniques therein. MASS is a general C++ application program whose main task is to construct and solve the governing algebraic differential motion equations of 3D multibody systems automatically in matrix forms complying with the computational algorithms required for numerical simulation. Newton-Raphson and SVD methods have been used for kinematical assembling and producing consistent initial conditions. Adaptive time-step Runge-Kutta-Fehlberg numerical integration methods might be used for forward dynamics problems. The governing equations perfectly describe the kinematics and dynamics of multibody systems within which 3D kinematical joints and collisions between rigid bodies might be taken into consideration. The unified computational technique for mathematical modeling of kinematical joints is the most important concept on top of which MASS has been implemented. It has occurred due to the existence of thirteen basic kinematical constraint equations. Each kinematical joint might be defined by a set of algebraic equations being selected from the mentioned basic equations. The unified dynamic models for collisions and impulsive loads have been also achieved using the mentioned technique. Simulation results obtained from MASS have been compared with that of the corresponding software of Working Model ver. 6 and a discussion about the coincidences and differences has been exposed.
APA, Harvard, Vancouver, ISO, and other styles
5

Kuzmenko, M. L., I. N. Egorov, Yu N. Shmotin, and K. S. Fedechkin. "Optimization of the Gas Turbine Engine Parts Using Methods of Numerical Simulation." In ASME Turbo Expo 2007: Power for Land, Sea, and Air. ASMEDC, 2007. http://dx.doi.org/10.1115/gt2007-28205.

Full text
Abstract:
Modern computer technologies now allow us to conduct rather complex mathematical calculations in a relatively short period of time. Thus, it has become possible to employ optimization methods in the design of various parts of aircraft engines, even when calculations require large computational resources (structural, thermal, and gasdynamics calculations). The designer may have to vary more than a hundred design variables and constraints during the optimization process. Therefore the procedure of preparing the initial data for optimization may take a long time. That is why we developed the optimization software system for designing turbomachines and their parts. This software system includes the IOSO optimization procedure and modules of automatic data preparation and handling. The data is represented in the format that is convenient and understandable for a designer. The optimization procedure is based on the response surface methodology, when response surfaces are constructed for objective functions and constraints and then optimized at each iteration in a current search region. The objective function and constraints are then evaluated at the optimal point using the mathematical model of the system under consideration. As the analysis tools the well-known commercial software package (FINE/Design3D) is used. The paper presents the results of optimizing a three-stage axial compressor. The optimization goal was to improve the compressor efficiency at two flight conditions by optimizing geometry of the 5 compressor rows (62 design parameters).
APA, Harvard, Vancouver, ISO, and other styles
6

Fan, Pengfei, Xiongwen Zhang, and Guojun Li. "Numerical Study on Electric Characteristics and Thermal Stresses of Solid Oxide Fuel Cells." In ASME 2012 10th International Conference on Fuel Cell Science, Engineering and Technology collocated with the ASME 2012 6th International Conference on Energy Sustainability. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fuelcell2012-91121.

Full text
Abstract:
A generalized, three-dimensional (3D) mathematical model of solid oxide fuel cells (SOFCs) for various geometries is constructed in this paper. A finite-volume method is applied to calculate the electric characteristics, which is based on the fundamental conservation law of mass, energy and electrical charge. The electrical potential distribution, the current density distribution, the concentrations distribution of the chemical species and the temperature profile are calculated by solving the governing equations of a single-unit model with double channels of co-flow and counter-flow pattern using the commercial computational fluid dynamic software Fluent. The internal steam reforming and the water shift reactions are taken into account in the mathematical model. The Knudsen diffusion is considered for computation of the gases diffusion in the porous electrodes and the concentration overpotential. The Butler-Volmer equation and the function of the reaction gases composition for the exchange density are used in the model to analyze the activation overpotential. Numerical simulations are performed for a planar geometry solid oxide fuel cell and the detailed features of the temperature, the electrical potential distribution and the gases composition are illustrated. The simulation results agree well with the Benchmark results for planar configuration. With the simulated temperature profile in the planar SOFC, the finite-element method is employed to calculate the thermal stress distribution in the planar solid oxide fuel cell. A 3D finite-element model consists of positive electrode-electrolyte-negative electrode (PEN) and interconnects assembly is constructed by using commercial finite-element code Abaqus. The effects of temperature profile, electrodes and electrolyte thickness, and coefficients of thermal expansion (CTE) mismatch between components are characterized. The calculated results indicate that the maximum stress appears on the electrode and electrolyte interface. The value and distribution of the thermal stress are the functions of the applied materials CTE, applied temperature profiles and the thicknesses of electrode and electrolyte. The calculated results can be applied as the guide for the SOFC materials selection and the SOFC structure design.
APA, Harvard, Vancouver, ISO, and other styles
7

Sharma, Naveen, and Paul S. Wang. "The PIER Parallel FEA Program Generator." In ASME 1993 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/cie1993-0036.

Full text
Abstract:
Abstract In this paper we describe a coupled symbolic-numeric approach for solving PDE-based mathematical models on sequential and parallel computers. PIER, an experimental software system that we are developing, synthesizes F77 subroutines for finite element modeling directly from very-high level user input specifications. The system is being developed in Common Lisp and uses MAXIMA computer algebra system for symbolic mathematical computations. PIER input syntax provide high-level statements to specify finite element discretization and methods for solving systems of equations. The user composes the finite element analysis process using MAXIMA input syntax and F77 statements along with these statements. Symbolic quantities for element formulation like shape functions, element equations etc. are automatically derived. The input model characteristics, derived formulae, desired solution methods, and the target machine knowledge are then used to generate numerical code for FEA solution steps. The benefits of this approach include: 1) substantially reducing the time and effort required to solve mathematical models, 2) ability to solve models in higher-dimensions, and 3) automatic retargeting of numeric computations to multiple parallel architectures. Currently, we are applying the techniques developed in our research to the numeric solution of problems in computational liquid crystal physics and the theory of elasticity. Sequent shared-memory multiprocessor is the current target parallel computer.
APA, Harvard, Vancouver, ISO, and other styles
8

Zhu, Zaixing, Jiemin Zhou, Ying Wang, Ping Zhou, and Aichun Ma. "Numerical Simulation on Fluid Flow and Combustion in a Subcritical Pressure Boiler With Various Hybrid Coal." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-68927.

Full text
Abstract:
With a 300t/h Hg1025/18.2-YM13 sub-critical natural circulation tangentially corner-fired boiler serving as a prototype, a realizable k–ε turbulent mathematical model was established. This model used computational fluid dynamics software FLUENT6.2 and unstructured mesh generating technique of Gambit to reduce numerical false diffusion of the computational results. The fluid flow, heat transfer and combustion processes in the boiler were investigated numerically with different types of coal. The simulation data was compared and analyzed. The influences of primary air ratio, excess air ratio, pulverized fuel feeder on the combustion processes have been studied. These results could be of great help in the operation of tangentially fired furnace of pulverized coal boilers.
APA, Harvard, Vancouver, ISO, and other styles
9

Terre´s-Pen˜a, H., and P. Quinto-Diez. "Applications of Numerical Simulation of Solar Cooker Type Box With Multi-Step Inner Reflector." In ASME 2003 International Solar Energy Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/isec2003-44060.

Full text
Abstract:
It is shown a mathematical model of a solar box cooker with multi-step inner reflector and the numerical results for two applications has been analyzed. These applications are 1. Numerical simulation of operation of solar box cooker with multi-step inner reflector in Tanta, Egypt and 2. Numerical simulation of solar box cooker with multi-step inner reflector for 10 hours of operation. In the case 1, is analyzed a solar box cooker constructed and evaluated in Tanta, Egypt [1]. The experimental results that was obtained are compared with the numerical results that was obtained for the mathematical model. The case 2, is an evaluation of numerical results that was obtained for the operation of 10 hours for solar box cooker constructed in the Laboratorio de Ingenieri´a Te´rmica e Hidra´ulica Aplicada (LABINTHAP) in Me´xico City. [4] The solar box cooker is integrated by a covert that was made with double glass, this is use with two purposes, reduce the loss heat convection with outer and to generated the greenhouse effect with inner of cooker. In the inner of cooker there are a mirrors arrangement in inclined position (inner reflectors) placed in angles of 30°, 45° and 75°, these helped to reflex the solar rays in direction to the cook recipient. The recipient also received the solar rays in the upper part (lid). The mathematical model that was obtained from energetic analysis, is formed for five differential equations system no linear and the fourth Runge-Kutta method is used to resolve it. The numerical solution of the equations system is obtained with a computational software in C++. This work is a contribution to the application of numerical methods and computational for development of the solar energy used in thermal conversion equipments. The use of these techniques to solve the mathematical model is important to contribute in the evaluation and design of solar box cookers with multi-step inner reflector.
APA, Harvard, Vancouver, ISO, and other styles
10

Ebna Hai, Bhuiyan Shameem Mahmood, and Markus Bause. "Adaptive Multigrid Methods for Extended Fluid-Structure Interaction (eXFSI) Problem: Part I — Mathematical Modelling." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53265.

Full text
Abstract:
This contribution is the first part of three papers on Adaptive Multigrid Methods for eXtended Fluid-Structure Interaction (eXFSI) Problem, where we introduce a monolithic variational formulation and solution techniques. In a monolithic nonlinear fluid-structure interaction (FSI), the fluid and structure models are formulated in different coordinate systems. This makes the FSI setup of a common variational description difficult and challenging. This article presents the state-of-the-art of recent developments in the finite element approximation of FSI problem based on monolithic variational formulation in the well-established arbitrary Lagrangian Eulerian (ALE) framework. This research will focus on the newly developed mathematical model of a new FSI problem which is called eXtended Fluid-Structure Interaction (eXFSI) problem in ALE framework. This model is used to design an on-live Structural Health Monitoring (SHM) system in order to determine the wave propagation in moving domains and optimum locations for SHM sensors. eXFSI is strongly coupled problem of typical FSI with a wave propagation problem on the fluid-structure interface, where wave propagation problems automatically adopted the boundary conditions from of the typical FSI problem at each time step. The ALE approach provides a simple, but powerful procedure to couple fluid flows with solid deformations by a monolithic solution algorithm. In such a setting, the fluid equations are transformed to a fixed reference configuration via the ALE mapping. The goal of this work is the development of concepts for the efficient numerical solution of eXFSI problem, the analysis of various fluid-mesh motion techniques and comparison of different second-order time-stepping schemes. This work consists of the investigation of different time stepping scheme formulations for a nonlinear FSI problem coupling the acoustic/elastic wave propagation on the fluid-structure interface. Temporal discretization is based on finite differences and is formulated as an one step-θ scheme; from which we can consider the following particular cases: the implicit Euler, Crank-Nicolson, shifted Crank-Nicolson and the Fractional-Step-θ schemes. The nonlinear problem is solved with Newton’s method whereas the spatial discretization is done with a Galerkin finite element scheme. To control computational costs we apply a simplified version of a posteriori error estimation using the dual weighted residual (DWR) method. This method is used for the mesh adaptation during the computation. The implementation is accomplished via the software library package DOpElib and deal.II for the computation of different eXFSI configurations.
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Numerical computation and mathematical software"

1

Klema, V. Numerical Algorithms and Mathematical Software for Linear Control and Estimation Theory. Fort Belvoir, VA: Defense Technical Information Center, May 1985. http://dx.doi.org/10.21236/ada157525.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Nobile, F., Q. Ayoul-Guilmard, S. Ganesh, M. Nuñez, A. Kodakkal, C. Soriano, and R. Rossi. D6.5 Report on stochastic optimisation for wind engineering. Scipedia, 2022. http://dx.doi.org/10.23967/exaqute.2022.3.04.

Full text
Abstract:
This report presents the latest methods of optimisation under uncertainties investigated in the ExaQUte project, and their applications to problems related to civil and wind engineering. The measure of risk throughout the report is the conditional value at risk. First, the reference method is presented: the derivation of sensitivities of the risk measure; their accurate computation; and lastly, a practical optimisation algorithm with adaptive statistical estimation. Second, this method is directly applied to a nonlinear relaxation oscillator (FitzHugh–Nagumo model) with numerical experiments to demonstrate its performance. Third, the optimisation method is adapted to the shape optimisation of an airfoil and illustrated by a large-scale experiment on a computing cluster. Finally, the benchmark of the shape optimisation of a tall building under a turbulent flow is presented, followed by an adaptation of the optimisation method. All numerical experiments showcase the open-source software stack of the ExaQUte project for large-scale computing in a distributed environment.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Numerical computation and mathematical software' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography