Numerical Methods For Grid Equations Vol I Ii

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Numerical Methods For Grid Equations Vol I Ii

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Author : A.A. Samarskij
language : en
Publisher: Birkhäuser
Release Date : 1989-01-01

Numerical Methods For Grid Equations Vol I Ii written by A.A. Samarskij and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.

Numerical Methods For Grid Equations

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Author : A.A. Samarskij
language : en
Publisher: Birkhäuser
Release Date : 2011-11-01

Numerical Methods For Grid Equations written by A.A. Samarskij and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-01 with Mathematics categories.

Numerical Methods For Grid Equations

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Author : A.A. Samarskij
language : en
Publisher: Birkhäuser
Release Date : 1988-12-01

Numerical Methods For Grid Equations written by A.A. Samarskij and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-01 with Mathematics categories.

The finite-difference solution of mathematical-physics differential equations is carried out in two stages: 1) the writing of the difference scheme (a differ ence approximation to the differential equation on a grid), 2) the computer solution of the difference equations, which are written in the form of a high order system of linear algebraic equations of special form (ill-conditioned, band-structured). Application of general linear algebra methods is not always appropriate for such systems because of the need to store a large volume of information, as well as because of the large amount of work required by these methods. For the solution of difference equations, special methods have been developed which, in one way or another, take into account special features of the problem, and which allow the solution to be found using less work than via the general methods. This work is an extension of the book Difference M ethod3 for the Solution of Elliptic Equation3 by A. A. Samarskii and V. B. Andreev which considered a whole set of questions connected with difference approximations, the con struction of difference operators, and estimation of the ~onvergence rate of difference schemes for typical elliptic boundary-value problems. Here we consider only solution methods for difference equations. The book in fact consists of two volumes.

Iterative Solution Of Large Sparse Systems Of Equations

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Author : Wolfgang Hackbusch
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Iterative Solution Of Large Sparse Systems Of Equations written by Wolfgang Hackbusch 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 2012-12-06 with Mathematics categories.

This book presents the description of the state of modern iterative techniques together with systematic analysis. The first chapters discuss the classical methods. Comprehensive chapters are devoted to semi-iterative techniques (Chebyshev methods), transformations, incomplete decompositions, gradient and conjugate gradient methods, multi-grid methods and domain decomposition techniques (including e.g. the additive and multiplicative Schwartz method). In contrast to other books all techniques are described algebraically. For instance, for the domain decomposition method this is a new but helpful approach. Every technique described is illustrated by a Pascal program applicable to a class of model problem.

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.

Mesh Methods For Boundary Value Problems And Applications

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Author : Ildar B. Badriev
language : en
Publisher: Springer Nature
Release Date : 2022-09-14

Mesh Methods For Boundary Value Problems And Applications written by Ildar B. Badriev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-14 with Mathematics categories.

This book gathers papers presented at the 13th International Conference on Mesh Methods for Boundary-Value Problems and Applications, which was held in Kazan, Russia, in October 2020. The papers address the following topics: the theory of mesh methods for boundary-value problems in mathematical physics; non-linear mathematical models in mechanics and physics; algorithms for solving variational inequalities; computing science; and educational systems. Given its scope, the book is chiefly intended for students in the fields of mathematical modeling science and engineering. However, it will also benefit scientists and graduate students interested in these fields.

Handbook Of Grid Generation

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Author : Joe F. Thompson
language : en
Publisher: CRC Press
Release Date : 1998-12-29

Handbook Of Grid Generation written by Joe F. Thompson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-29 with Mathematics categories.

Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers: Fundamental concepts and approaches Grid generation process Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving boundaries and internal interfaces in the field Resolving gradients and controlling solution error Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.

Computational Heat And Mass Transfer Chmt 2001 Vol Ii

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Author :
language : en
Publisher: Editora E-papers
Release Date :

Computational Heat And Mass Transfer Chmt 2001 Vol Ii written by and has been published by Editora E-papers this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Applications Of Lie Groups To Difference Equations

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Author : Vladimir Dorodnitsyn
language : en
Publisher: CRC Press
Release Date : 2010-12-01

Applications Of Lie Groups To Difference Equations written by Vladimir Dorodnitsyn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-01 with Mathematics categories.

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods

Computational Fluid Dynamics Review 1998 In 2 Volumes

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Author : Mohamed M Hafez
language : en
Publisher: World Scientific
Release Date : 1998-11-20

Computational Fluid Dynamics Review 1998 In 2 Volumes written by Mohamed M Hafez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-20 with Science categories.

The first volume of CFD Review was published in 1995. The purpose of this new publication is to present comprehensive surveys and review articles which provide up-to-date information about recent progress in computational fluid dynamics, on a regular basis. Because of the multidisciplinary nature of CFD, it is difficult to cope with all the important developments in related areas. There are at least ten regular international conferences dealing with different aspects of CFD.It is a real challenge to keep up with all these activities and to be aware of essential and fundamental contributions in these areas. It is hoped that CFD Review will help in this regard by covering the state-of-the-art in this field.The present book contains sixty-two articles written by authors from the US, Europe, Japan and China, covering the main aspects of CFD. There are five sections: general topics, numerical methods, flow physics, interdisciplinary applications, parallel computation and flow visualization. The section on numerical methods includes grids, schemes and solvers, while that on flow physics includes incompressible and compressible flows, hypersonics and gas kinetics as well as transition and turbulence. This book should be useful to all researchers in this fast-developing field.