Generalized Difference Methods For Differential Equations
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Generalized Difference Methods For Differential Equations
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Author : Ronghua Li
language : en
Publisher: CRC Press
Release Date : 2000-01-03
Generalized Difference Methods For Differential Equations written by Ronghua 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 2000-01-03 with Mathematics categories.
This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.
Generalized Difference Methods For Differential Equations
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Author : Ronghua Li
language : en
Publisher: CRC Press
Release Date : 2000-01-03
Generalized Difference Methods For Differential Equations written by Ronghua 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 2000-01-03 with Mathematics categories.
This text presents a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. It compares finite element and finite difference methods and illustrates applications of generalized difference methods to elastic bodies, electromagnetic fields, underground water pollution, and coupled sound-heat flows.
Analysis Of Finite Difference Schemes
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Author : Boško S. Jovanović
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-22
Analysis Of Finite Difference Schemes written by Boško S. Jovanović 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 2013-10-22 with Mathematics categories.
This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and of the associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associated analytical solution are however frequently unrealistic. There is a wealth of boundary – and initial – value problems, arising from various applications in physics and engineering, where the data and the corresponding solution exhibit lack of regularity. In such instances classical techniques for the error analysis of finite difference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linear partial differential equations with nonsmooth solutions. Analysis of Finite Difference Schemes is aimed at researchers and graduate students interested in the mathematical theory of numerical methods for the approximate solution of partial differential equations.
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Author : 李荣华
language : zh-CN
Publisher:
Release Date : 1994
written by 李荣华 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
英文题名:The generalized difference method for differential equations
Analysis Of Finite Difference Schemes
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Author : Boko S. Jovanovic
language : en
Publisher:
Release Date : 2013-10-31
Analysis Of Finite Difference Schemes written by Boko S. Jovanovic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-31 with categories.
Finite Difference Methods On Irregular Networks
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Author : HEINRICH
language : en
Publisher: Birkhäuser
Release Date : 2013-03-13
Finite Difference Methods On Irregular Networks written by HEINRICH and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Science categories.
The finite difference and finite element methods are powerful tools for the approximate solution of differential equations governing diverse physical phenomena, and there is extensive literature on these discre tization methods. In the last two decades, some extensions of the finite difference method to irregular networks have been described and applied to solving boundary value problems in science and engineering. For instance, "box integration methods" have been widely used in electro nics. There are several papers on this topic, but a comprehensive study of these methods does not seem to have been attempted. The purpose of this book is to provide a systematic treatment of a generalized finite difference method on irregular networks for solving numerically elliptic boundary value problems. Thus, several disadvan tages of the classical finite difference method can be removed, irregular networks of triangles known from the finite element method can be applied, and advantageous properties of the finite difference approxima tions will be obtained. The book is written for advanced undergraduates and graduates in the area of numerical analysis as well as for mathematically inclined workers in engineering and science. In preparing the material for this book, the author has greatly benefited from discussions and collaboration with many colleagues who are concerned with finite difference or (and) finite element methods.
Advances In Computational Mathematics
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Author : Zhongying Chen
language : en
Publisher: CRC Press
Release Date : 2023-08-25
Advances In Computational Mathematics written by Zhongying Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-25 with Mathematics categories.
This volume presents the refereed proceedings of the Guangzhou International Symposium on Computational Mathematics, held at the Zhongshan University, People's Republic of China. Nearly 90 international mathematicians examine numerical optimization methods, wavelet analysis, computational approximation, numerical solutions of differential and integral equations, numerical linear algebra, inverse and ill-posed problems, geometric modelling, and signal and image processing and their applications.
Finite Difference Methods On Irregular Networks
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Author : Bernd Heinrich
language : en
Publisher:
Release Date : 1987-12-31
Finite Difference Methods On Irregular Networks written by Bernd Heinrich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-12-31 with Mathematics categories.
No detailed description available for "Finite Difference Methods on Irregular Networks".
Numerical Methods For Partial Differential Equations Proceedings Of 2nd Conference
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Author : Lung-an Ying
language : en
Publisher: World Scientific
Release Date : 1992-01-27
Numerical Methods For Partial Differential Equations Proceedings Of 2nd Conference written by Lung-an Ying and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-27 with categories.
This book is devoted to the numerical computation of linear and nonlinear differential equations, and their mathematical theory and applications. The contributed papers reflect the interest and high research level of the Chinese mathematicians working in these fields.
Finite Difference Methods For Ordinary And Partial Differential Equations
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Author : Randall J. LeVeque
language : en
Publisher: SIAM
Release Date : 2007-01-01
Finite Difference Methods For Ordinary And Partial Differential Equations written by Randall J. LeVeque and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.