High Order Difference Methods For Time Dependent Pde

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High Order Difference Methods For Time Dependent Pde

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Author : Bertil Gustafsson
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-06

High Order Difference Methods For Time Dependent Pde written by Bertil Gustafsson 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 2007-12-06 with Mathematics categories.

Many books have been written on ?nite difference methods (FDM), but there are good reasons to write still another one. The main reason is that even if higher order methods have been known for a long time, the analysis of stability, accuracy and effectiveness is missing to a large extent. For example, the de?nition of the formal high order accuracy is based on the assumption that the true solution is smooth, or expressed differently, that the grid is ?ne enough such that all variations in the solution are well resolved. In many applications, this assumption is not ful?lled, and then it is interesting to know if a high order method is still effective. Another problem that needs thorough analysis is the construction of boundary conditions such that both accuracy and stability is upheld. And ?nally, there has been quite a strongdevelopmentduringthe last years, inparticularwhenit comesto verygeneral and stable difference operators for application on initial–boundary value problems. The content of the book is not purely theoretical, neither is it a set of recipes for varioustypesof applications. The idea is to give an overviewof the basic theoryand constructionprinciplesfor differencemethodswithoutgoing into all details. For - ample, certain theorems are presented, but the proofs are in most cases left out. The explanation and application of the theory is illustrated by using simple model - amples.

Adaptive Mesh Methods And Software For Time Dependent Partial Differential Equations

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Author : Shengtai Li
language : en
Publisher:
Release Date : 1998

Adaptive Mesh Methods And Software For Time Dependent Partial Differential Equations written by Shengtai Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

Siam Journal On Scientific Computing

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Author :
language : en
Publisher:
Release Date : 2008

Siam Journal On Scientific Computing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematical statistics categories.

Moving Grid Methods For Time Dependent Partial Differential Equations

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Author : P. A. Zegeling
language : en
Publisher:
Release Date : 1993

Moving Grid Methods For Time Dependent Partial Differential Equations written by P. A. Zegeling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Differential equations, Partial categories.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2003

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Advances In Computer Methods For Partial Differential Equations

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Author :
language : en
Publisher:
Release Date : 1981

Advances In Computer Methods For Partial Differential Equations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Differential equations, Partial categories.

Second International Conference Finite Difference Methods Theory And Application Cfdm98

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Author : Aleksandr Andreevich Samarskiĭ
language : en
Publisher:
Release Date : 1998

Second International Conference Finite Difference Methods Theory And Application Cfdm98 written by Aleksandr Andreevich Samarskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Finite differences categories.

Advances In Computer Methods For Partial Differential Equations Iv

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Author : Robert Vichnevetsky
language : en
Publisher:
Release Date : 1981

Advances In Computer Methods For Partial Differential Equations Iv written by Robert Vichnevetsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Differential equations, Partial categories.

Computational Methods In Science And Engineering

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Author : George Maroulis
language : en
Publisher: American Inst. of Physics
Release Date : 2007-12-14

Computational Methods In Science And Engineering written by George Maroulis and has been published by American Inst. of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-14 with Science categories.

All papers have been peer-reviewed. The aim of ICCMSE 2007 is to bring together computational scientists and engineers from several disciplines in order to share methods, methodologies and ideas. The potential readers of these proceedings are all the scientists with interest in the following fields: Computational Mathematics, Theoretical Physics, Computational Physics, Theoretical Chemistry, Computational Chemistry, Mathematical Chemistry, Computational Engineering, Computational Mechanics, Computational Biology and Medicine, Scientific Computation, High Performance Computing, Parallel and Distributed Computing, Visualization, Problem Solving Environments, Software Tools, Advanced Numerical Algorithms, Modeling and Simulation of Complex Systems, Web-based Simulation and Computing, Grid-based Simulation and Computing, Computational Grids, and Computer Science.

Time Dependent Problems And Difference Methods

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Author : Bertil Gustafsson
language : en
Publisher: John Wiley & Sons
Release Date : 2013-07-18

Time Dependent Problems And Difference Methods written by Bertil Gustafsson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Mathematics categories.

Praise for the First Edition ". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." —SIAM Review Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods. The Second Edition presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations,Time-Dependent Problems and Difference Methods, Second Edition also includes: High order methods on staggered grids Extended treatment of Summation By Parts operators and their application to second-order derivatives Simplified presentation of certain parts and proofs Time-Dependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations.