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.
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.
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.
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.
Conservative Finite Difference Methods On General Grids
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Author : Mikhail Shashkov
language : en
Publisher: CRC Press
Release Date : 2018-02-06
Conservative Finite Difference Methods On General Grids written by Mikhail Shashkov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-06 with Mathematics categories.
This new book deals with the construction of finite-difference (FD) algorithms for three main types of equations: elliptic equations, heat equations, and gas dynamic equations in Lagrangian form. These methods can be applied to domains of arbitrary shapes. The construction of FD algorithms for all types of equations is done on the basis of the support-operators method (SOM). This method constructs the FD analogs of main invariant differential operators of first order such as the divergence, the gradient, and the curl. This book is unique because it is the first book not in Russian to present the support-operators ideas. Conservative Finite-Difference Methods on General Grids is completely self-contained, presenting all the background material necessary for understanding. The book provides the tools needed by scientists and engineers to solve a wide range of practical engineering problems. An abundance of tables and graphs support and explain methods. The book details all algorithms needed for implementation. A 3.5" IBM compatible computer diskette with the main algorithms in FORTRAN accompanies text for easy use.
Proper Orthogonal Decomposition Methods For Partial Differential Equations
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Author : Zhendong Luo
language : en
Publisher: Academic Press
Release Date : 2018-11-26
Proper Orthogonal Decomposition Methods For Partial Differential Equations written by Zhendong Luo and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-26 with Mathematics categories.
Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load and alleviating the accumulation of truncation error in the computational process. Introduces the foundations of finite-differences, finite-elements and finite-volume-elements. Models of time-dependent PDEs are presented, with detailed numerical procedures, implementation and error analysis. Output numerical data are plotted in graphics and compared using standard traditional methods. These models contain parabolic, hyperbolic and nonlinear systems of PDEs, suitable for the user to learn and adapt methods to their own R&D problems. - Explains ways to reduce order for PDEs by means of the POD method so that reduced-order models have few unknowns - Helps readers speed up computation and reduce computation load and memory requirements while numerically capturing system characteristics - Enables readers to apply and adapt the methods to solve similar problems for PDEs of hyperbolic, parabolic and nonlinear types
Nonstandard Finite Difference Schemes Methodology And Applications
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Author : Ronald E Mickens
language : en
Publisher: World Scientific
Release Date : 2020-11-11
Nonstandard Finite Difference Schemes Methodology And Applications written by Ronald E Mickens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-11 with Mathematics categories.
This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.Of real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a chapter giving NSFD schemes from the research literature. The book emphasizes the critical roles played by the 'principle of dynamic consistency' and the use of sub-equations for the construction of valid NSFD discretizations of differential equations.
Applied Surface Thermodynamics
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Author : A.W. Neumann
language : en
Publisher: CRC Press
Release Date : 2010-10-13
Applied Surface Thermodynamics written by A.W. Neumann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-13 with Science categories.
Surface thermodynamics forms the foundation of any meaningful study of capillarity and wetting phenomena. The second edition of Applied Surface Thermodynamics offers a comprehensive state-of-the-art treatment of this critical topic. It provides students and researchers with fundamental knowledge and practical guidelines in solving real-world proble
Advances In Numerical Partial Differential Equations And Optimization
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Author : Susana Gomez
language : en
Publisher: SIAM
Release Date : 1990-12-31
Advances In Numerical Partial Differential Equations And Optimization written by Susana Gomez and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-12-31 with Mathematics categories.
The papers in this volume emphasize the numerical aspects of three main areas: optimization, linear algebra and partial differential equations. Held in January, 1989, in Yucatan, Mexico, the workshop was organized by the Institute for Research in Applied Mathematics of the National University of Mexico in collaboration with the mathematical Sciences Department at Rice University.
Approaches To The Qualitative Theory Of Ordinary Differential Equations
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Author : Tong-Ren Ding
language : en
Publisher: World Scientific
Release Date : 2007
Approaches To The Qualitative Theory Of Ordinary Differential Equations written by Tong-Ren Ding and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
This book is an ideal text for advanced undergraduate students and graduate students with an interest in the qualitative theory of ordinary differential equations and dynamical systems. Elementary knowledge is emphasized by the detailed discussions on the fundamental theorems of the Cauchy problem, fixed-point theorems (especially the twist theorems), the principal idea of dynamical systems, the nonlinear oscillation of Duffing's equation, and some special analyses of particular differential equations. It also contains the latest research by the author as an integral part of the book.