Time Dependent Problems And Difference Methods

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Time Dependent Problems And Difference Methods

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Author : Bertil Gustafsson
language : en
Publisher: John Wiley & Sons
Release Date : 1995

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 1995 with Mathematics categories.

Time Dependent Problems and Difference Methods addresses these various industrial considerations in a pragmatic and detailed manner, giving special attention to time dependent problems in its coverage of the derivation and analysis of numerical methods for computational approximations to Partial Differential Equations (PDEs).

Finite Difference Methods For Ordinary And Partial Differential Equations

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Author : Randall J. LeVeque
language : en
Publisher: SIAM
Release Date : 2007-09-06

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 2007-09-06 with Mathematics categories.

Introductory textbook from which students can approach more advance topics relating to finite difference methods.

Methods For The Approximate Solution Of Time Dependent Problems

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Author : Heinz Kreiss
language : en
Publisher:
Release Date : 1973

Methods For The Approximate Solution Of Time Dependent Problems written by Heinz Kreiss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Atmospheric thermodynamics categories.

"The theoretical analysis of numerical methods presented in this monograph will fill the need for systematic treatments in formulating finite-difference methods for geophysical fluid dynamics problems" - forward.

Numerical Methods For Solving Time Dependent Problems For Partial Differential Equations

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Author : Heinz-Otto Kreiss
language : en
Publisher:
Release Date : 1978

Numerical Methods For Solving Time Dependent Problems For Partial Differential Equations written by Heinz-Otto Kreiss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Cauchy problem categories.

Difference Methods For Initial Boundary Value Problems And Flow Around Bodies

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Author : You-lan Zhu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Difference Methods For Initial Boundary Value Problems And Flow Around Bodies written by You-lan Zhu 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 2013-06-29 with Mathematics categories.

Since the appearance of computers, numerical methods for discontinuous solutions of quasi-linear hyperbolic systems of partial differential equations have been among the most important research subjects in numerical analysis. The authors have developed a new difference method (named the singularity-separating method) for quasi-linear hyperbolic systems of partial differential equations. Its most important feature is that it possesses a high accuracy even for problems with singularities such as schocks, contact discontinuities, rarefaction waves and detonations. Besides the thorough description of the method itself, its mathematical foundation (stability-convergence theory of difference schemes for initial-boundary-value hyperbolic problems) and its application to supersonic flow around bodies are discussed. Further, the method of lines and its application to blunt body problems and conical flow problems are described in detail. This book should soon be an important working basis for both graduate students and researchers in the field of partial differential equations as well as in mathematical physics.

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.

Numerical Time Dependent Partial Differential Equations For Scientists And Engineers

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Author : Moysey Brio
language : en
Publisher: Academic Press
Release Date : 2010-09-21

Numerical Time Dependent Partial Differential Equations For Scientists And Engineers written by Moysey Brio and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-21 with Mathematics categories.

It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly influenced by the authors research in in space physics, electrical and optical engineering, applied mathematics, numerical analysis and professional software development. The material is based on a year-long graduate course taught at the University of Arizona since 1989. The book covers the first two-semesters of a three semester series. The second semester is based on a semester-long project, while the third semester requirement consists of a particular methods course in specific disciplines like computational fluid dynamics, finite element method in mechanical engineering, computational physics, biology, chemistry, photonics, etc.The first three chapters focus on basic properties of partial differential equations, including analysis of the dispersion relation, symmetries, particular solutions and instabilities of the PDEs; methods of discretization and convergence theory for initial value problems. The goal is to progress from observations of simple numerical artifacts like diffusion, damping, dispersion, and anisotropies to their analysis and management technique, as it is not always possible to completely eliminate them.In the second part of the book we cover topics for which there are only sporadic theoretical results, while they are an integral part and often the most important part for successful numerical simulation. We adopt a more heuristic and practical approach using numerical methods of investigation and validation. The aim is teach students subtle key issues in order to separate physics from numerics. The following topics are addressed: Implementation of transparent and absorbing boundary conditions; Practical stability analysis in the presence of the boundaries and interfaces; Treatment of problems with different temporal/spatial scales either explicit or implicit; preservation of symmetries and additional constraints; physical regularization of singularities; resolution enhancement using adaptive mesh refinement and moving meshes. - Self contained presentation of key issues in successful numerical simulation - Accessible to scientists and engineers with diverse background - Provides analysis of the dispersion relation, symmetries, particular solutions and instabilities of the partial differential equations

Second International Conference Finite Difference Methods Theory And Application Cfdm98

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Author : S. Lemeshevsky
language : en
Publisher:
Release Date : 1998

Second International Conference Finite Difference Methods Theory And Application Cfdm98 written by S. Lemeshevsky 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.

Time Step Criteria For An Extended Forward Difference Method

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Author : Gihoun Kwon
language : en
Publisher:
Release Date : 1999

Time Step Criteria For An Extended Forward Difference Method written by Gihoun Kwon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Differential equations, Parabolic categories.

Difference Methods For Initial Value Problems

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Author : Robert D. Richtmyer
language : en
Publisher:
Release Date : 1957

Difference Methods For Initial Value Problems written by Robert D. Richtmyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with Mathematics categories.