Computational Differential Equations


Computational Differential Equations
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Computational Differential Equations


Computational Differential Equations
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Author : Kenneth Eriksson
language : en
Publisher: Cambridge University Press
Release Date : 1996-09-05

Computational Differential Equations written by Kenneth Eriksson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-09-05 with Mathematics categories.


This textbook on computational mathematics is based on a fusion of mathematical analysis, numerical computation and applications.



Computational Differential Equations


Computational Differential Equations
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Author : Kenneth Eriksson
language : en
Publisher:
Release Date : 1996

Computational Differential Equations written by Kenneth Eriksson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Differential equations categories.




Partial Differential Equations For Computational Science


Partial Differential Equations For Computational Science
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Author : David Betounes
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-05-15

Partial Differential Equations For Computational Science written by David Betounes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-15 with Mathematics categories.


This book will have strong appeal to interdisciplinary audiences, particularly in regard to its treatments of fluid mechanics, heat equations, and continuum mechanics. There is also a heavy focus on vector analysis. Maple examples, exercises, and an appendix is also included.



Computational Partial Differential Equations


Computational Partial Differential Equations
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Author : Hans Petter Langtangen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Computational Partial Differential Equations written by Hans Petter Langtangen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


Targeted at students and researchers in computational sciences who need to develop computer codes for solving PDEs, the exposition here is focused on numerics and software related to mathematical models in solid and fluid mechanics. The book teaches finite element methods, and basic finite difference methods from a computational point of view, with the main emphasis on developing flexible computer programs, using the numerical library Diffpack. Diffpack is explained in detail for problems including model equations in applied mathematics, heat transfer, elasticity, and viscous fluid flow. All the program examples, as well as Diffpack for use with this book, are available on the Internet. XXXXXXX NEUER TEXT This book is for researchers who need to develop computer code for solving PDEs. Numerical methods and the application of Diffpack are explained in detail. Diffpack is a modern C++ development environment that is widely used by industrial scientists and engineers working in areas such as oil exploration, groundwater modeling, and materials testing. All the program examples, as well as a test version of Diffpack, are available for free over the Internet.



Numerical Methods For Differential Equations


Numerical Methods For Differential Equations
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Author : J.R. Dormand
language : en
Publisher: CRC Press
Release Date : 2018-05-04

Numerical Methods For Differential Equations written by J.R. Dormand and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Mathematics categories.


With emphasis on modern techniques, Numerical Methods for Differential Equations: A Computational Approach covers the development and application of methods for the numerical solution of ordinary differential equations. Some of the methods are extended to cover partial differential equations. All techniques covered in the text are on a program disk included with the book, and are written in Fortran 90. These programs are ideal for students, researchers, and practitioners because they allow for straightforward application of the numerical methods described in the text. The code is easily modified to solve new systems of equations. Numerical Methods for Differential Equations: A Computational Approach also contains a reliable and inexpensive global error code for those interested in global error estimation. This is a valuable text for students, who will find the derivations of the numerical methods extremely helpful and the programs themselves easy to use. It is also an excellent reference and source of software for researchers and practitioners who need computer solutions to differential equations.



Computational Partial Differential Equations Using Matlab


Computational Partial Differential Equations Using Matlab
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Author : Jichun Li
language : en
Publisher: CRC Press
Release Date : 2019-09-26

Computational Partial Differential Equations Using Matlab written by Jichun Li and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-26 with Mathematics categories.


In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB. Key Selling Points: A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering. This course is taught in every university throughout the world with an engineering department or school. Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.



Differential Equations Mechanics And Computation


Differential Equations Mechanics And Computation
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Author : Richard S. Palais
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-11-13

Differential Equations Mechanics And Computation written by Richard S. Palais and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-13 with Mathematics categories.


This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a unified and visual introduction to the theory of numerical methods and a novel approach to the analysis of errors and stability of various numerical solution algorithms based on carefully chosen model problems. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.



Computational Techniques For Differential Equations


Computational Techniques For Differential Equations
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Author : J. Noye
language : en
Publisher: Elsevier
Release Date : 2000-04-01

Computational Techniques For Differential Equations written by J. Noye and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Mathematics categories.


Computational Techniques for Differential Equations



Advanced Topics In Computational Partial Differential Equations


Advanced Topics In Computational Partial Differential Equations
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Author : Hans Petter Langtangen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-22

Advanced Topics In Computational Partial Differential Equations written by Hans Petter Langtangen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-22 with Mathematics categories.


A gentle introduction to advanced topics such as parallel computing, multigrid methods, and special methods for systems of PDEs. The goal of all chapters is to ‘compute’ solutions to problems, hence algorithmic and software issues play a central role. All software examples use the Diffpack programming environment - some experience with Diffpack is required. There are also some chapters covering complete applications, i.e., the way from a model, expressed as systems of PDEs, through to discretization methods, algorithms, software design, verification, and computational examples. Suitable for readers with a background in basic finite element and finite difference methods for partial differential equations.



Computational Partial Differential Equations Using Matlab


Computational Partial Differential Equations Using Matlab
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Author : Jichun Li
language : en
Publisher: CRC Press
Release Date : 2008-10-20

Computational Partial Differential Equations Using Matlab written by Jichun Li and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-20 with Mathematics categories.


This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite element method as well as state-of-the-art numerical