Numerical Solution Of Elliptic And Parabolic Partial Differential Equations With Cd Rom
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Numerical Solution Of Elliptic And Parabolic Partial Differential Equations With Cd Rom
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Author : John A. Trangenstein
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-18
Numerical Solution Of Elliptic And Parabolic Partial Differential Equations With Cd Rom written by John A. Trangenstein 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 2013-04-18 with Mathematics categories.
For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which can be found on the accompanying CD-ROM).
Numerical Solution Of Elliptic And Parabolic Partial Differential Equations
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Author : John Arthur Trangenstein
language : en
Publisher:
Release Date : 2013
Numerical Solution Of Elliptic And Parabolic Partial Differential Equations written by John Arthur Trangenstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
"For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which is available online and on the accompanying CD-ROM)"--
Lecture Notes On Numerical Solution Of Elliptic And Parabolic Partial Differential Equations
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Author : Donald W. Peaceman
language : en
Publisher:
Release Date : 1966
Lecture Notes On Numerical Solution Of Elliptic And Parabolic Partial Differential Equations written by Donald W. Peaceman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Differential equations categories.
Numerical Methods For Elliptic And Parabolic Partial Differential Equations
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Author : Peter Knabner
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-06-26
Numerical Methods For Elliptic And Parabolic Partial Differential Equations written by Peter Knabner 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 2003-06-26 with Mathematics categories.
This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.
Numerical Solution Of Partial Differential Equations
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Author : James H. Bramble
language : en
Publisher:
Release Date : 1971
Numerical Solution Of Partial Differential Equations written by James H. Bramble and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
Efficient Numerical Methods For Elliptic And Parabolic Partial Differential Equations
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Author : Kovács Balázs
language : en
Publisher:
Release Date : 2015
Efficient Numerical Methods For Elliptic And Parabolic Partial Differential Equations written by Kovács Balázs and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
Numerical Solution Of Ordinary And Partial Differential Equations
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Author : L. Fox
language : en
Publisher: Elsevier
Release Date : 2014-05-15
Numerical Solution Of Ordinary And Partial Differential Equations written by L. Fox and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-15 with Mathematics categories.
Numerical Solution of Ordinary and Partial Differential Equations is based on a summer school held in Oxford in August-September 1961. The book is organized into four parts. The first three cover the numerical solution of ordinary differential equations, integral equations, and partial differential equations of quasi-linear form. Most of the techniques are evaluated from the standpoints of accuracy, convergence, and stability (in the various senses of these terms) as well as ease of coding and convenience of machine computation. The last part, on practical problems, uses and develops the techniques for the treatment of problems of the greatest difficulty and complexity, which tax not only the best machines but also the best brains. This book was written for scientists who have problems to solve, and who want to know what methods exist, why and in what circumstances some are better than others, and how to adapt and develop techniques for new problems. The budding numerical analyst should also benefit from this book, and should find some topics for valuable research. The first three parts, in fact, could be used not only by practical men but also by students, though a preliminary elementary course would assist the reading.
Lectures On Elliptic And Parabolic Equations In Holder Spaces
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Author : Nikolaĭ Vladimirovich Krylov
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Lectures On Elliptic And Parabolic Equations In Holder Spaces written by Nikolaĭ Vladimirovich Krylov 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 1996 with Mathematics categories.
These lectures concentrate on fundamentals of the modern theory of linear elliptic and parabolic equations in H older spaces. Krylov shows that this theory - including some issues of the theory of nonlinear equations - is based on some general and extremely powerful ideas and some simple computations. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines concerning other boundary-value problems such as the Neumann or oblique derivative problems or problems involving higher-order elliptic operators acting on the boundary. Numerical approximations are also discussed. This book, containing 200 exercises, aims to provide a good understanding of what kind of results are available and what kinds of techniques are used to obtain them.
A Numerical Solution Of A System Of Ordinary And Non Linear Partial Differential Equations
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Author : Dale W. Lick
language : en
Publisher:
Release Date : 1967
A Numerical Solution Of A System Of Ordinary And Non Linear Partial Differential Equations written by Dale W. Lick and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Differential equations categories.
Strongly Coupled Parabolic And Elliptic Systems
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Author : Dung Le
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05
Strongly Coupled Parabolic And Elliptic Systems written by Dung Le and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.
Strongly coupled (or cross-diffusion) systems of parabolic and elliptic partial differential equations appear in many physical applications. This book presents a new approach to the solvability of general strongly coupled systems, a much more difficult problem in contrast to the scalar case, by unifying, elucidating and extending breakthrough results obtained by the author, and providing solutions to many open fundamental questions in the theory. Several examples in mathematical biology and ecology are also included. Contents Interpolation Gagliardo–Nirenberg inequalities The parabolic systems The elliptic systems Cross-diffusion systems of porous media type Nontrivial steady-state solutions The duality RBMO(μ)–H1(μ)| Some algebraic inequalities Partial regularity