Difference Schemes
DOWNLOAD
Download Difference Schemes PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Difference Schemes book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
New Difference Schemes For Partial Differential Equations
DOWNLOAD
Author : Allaberen Ashyralyev
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-25
New Difference Schemes For Partial Differential Equations written by Allaberen Ashyralyev 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 2004-06-25 with Mathematics categories.
This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points, which permits investigation of differential equations with variable coefficients and regular and singular perturbation boundary value problems.
Finite Difference Schemes And Partial Differential Equations
DOWNLOAD
Author : John C. Strikwerda
language : en
Publisher: Springer
Release Date : 1989-09-28
Finite Difference Schemes And Partial Differential Equations written by John C. Strikwerda and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-09-28 with Juvenile Nonfiction categories.
Difference Schemes
DOWNLOAD
Author : S.K. Godunov
language : en
Publisher: Elsevier
Release Date : 1987-05-01
Difference Schemes written by S.K. Godunov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-05-01 with Mathematics categories.
Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problems with computers, the differential problems are replaced approximately by difference schemes.This book is an introduction to the theory of difference schemes, and was written as a textbook for university mathematics and physics departments and for technical universities. Some sections of the book will be of interest to computations specialists.While stressing a mathematically rigorous treatment of model problems, the book also demonstrates the relation between theory and computer experiments, using difference schemes created for practical computations.
Difference Schemes With Operator Factors
DOWNLOAD
Author : A.A. Samarskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Difference Schemes With Operator Factors written by A.A. Samarskii 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 2013-04-17 with Mathematics categories.
Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di rections. The most important results on this subject can be found in the book by A.A. Samarskii and A.V. Goolin [Samarskii and Goolin, 1973]. The survey papers of V. Thomee [Thomee, 1969, Thomee, 1990], A.V. Goolin and A.A. Samarskii [Goolin and Samarskii, 1976], E. Tad more [Tadmor, 1987] should also be mentioned here. The stability theory is a basis for the analysis of the convergence of an approximative solu tion to the exact solution, provided that the mesh width tends to zero. In this case the required estimate for the truncation error follows from consideration of the corresponding problem for it and from a priori es timates of stability with respect to the initial data and the right hand side. Putting it briefly, this means the known result that consistency and stability imply convergence.
New Difference Schemes For Partial Differential Equations
DOWNLOAD
Author : Allaberen Ashyralyev
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
New Difference Schemes For Partial Differential Equations written by Allaberen Ashyralyev and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The present monograph is devoted to the construction and investigation of the new high order of accuracy difference schemes of approximating the solutions of regular and singular perturbation boundary value problems for partial differential equations. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points. This approach permitted essentially to extend to a class of problems where the theory of difference methods is applicable. Namely, now it is possible to investigate the differential equations with variable coefficients and regular and singular perturbation boundary value problems. The investigation is based on new coercivity inequalities. The book will be of value to professional mathematicians, as well as advanced students in the fields of numerical analysis, functional analysis, and ordinary and partial differential equations.
Computer Aided Analysis Of Difference Schemes For Partial Differential Equations
DOWNLOAD
Author : Victor G. Ganzha
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-01
Computer Aided Analysis Of Difference Schemes For Partial Differential Equations written by Victor G. Ganzha 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 2011-03-01 with Science categories.
Advances in computer technology have conveniently coincided withtrends in numerical analysis toward increased complexity ofcomputational algorithms based on finite difference methods. It isno longer feasible to perform stability investigation of thesemethods manually--and no longer necessary. As this book shows,modern computer algebra tools can be combined with methods fromnumerical analysis to generate programs that will do the jobautomatically. Comprehensive, timely, and accessible--this is the definitivereference on the application of computerized symbolic manipulationsfor analyzing the stability of a wide range of difference schemes.In particular, it deals with those schemes that are used to solvecomplex physical problems in areas such as gas dynamics, heat andmass transfer, catastrophe theory, elasticity, shallow watertheory, and more. Introducing many new applications, methods, and concepts,Computer-Aided Analysis of Difference Schemes for PartialDifferential Equations * Shows how computational algebra expedites the task of stabilityanalysis--whatever the approach to stability investigation * Covers ten different approaches for each stability method * Deals with the specific characteristics of each method and itsapplication to problems commonly encountered by numerical modelers * Describes all basic mathematical formulas that are necessary toimplement each algorithm * Provides each formula in several global algebraic symboliclanguages, such as MAPLE, MATHEMATICA, and REDUCE * Includes numerous illustrations and thought-provoking examplesthroughout the text For mathematicians, physicists, and engineers, as well as forpostgraduate students, and for anyone involved with numericsolutions for real-world physical problems, this book provides avaluable resource, a helpful guide, and a head start ondevelopments for the twenty-first century.
Exact And Truncated Difference Schemes For Boundary Value Odes
DOWNLOAD
Author : Ivan Gavrilyuk
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-12
Exact And Truncated Difference Schemes For Boundary Value Odes written by Ivan Gavrilyuk 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 2011-08-12 with Mathematics categories.
The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskii-like techniques open the horizon for the numerical treatment of more complicated problems. The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODEs.
Advances In The Applications Of Nonstandard Finite Difference Schemes
DOWNLOAD
Author : Ronald E Mickens
language : en
Publisher: World Scientific
Release Date : 2005-10-25
Advances In The Applications Of Nonstandard Finite Difference Schemes 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 2005-10-25 with Mathematics categories.
This volume provides a concise introduction to the methodology of nonstandard finite difference (NSFD) schemes construction and shows how they can be applied to the numerical integration of differential equations occurring in the natural, biomedical, and engineering sciences. These methods had their genesis in the work of Mickens in the 1990's and are now beginning to be widely studied and applied by other researchers. The importance of the book derives from its clear and direct explanation of NSFD in the introductory chapter along with a broad discussion of the future directions needed to advance the topic.
Finite Difference Schemes And Partial Differential Equations
DOWNLOAD
Author : John C. Strikwerda
language : en
Publisher: SIAM
Release Date : 2007-09-20
Finite Difference Schemes And Partial Differential Equations written by John C. Strikwerda and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-20 with Mathematics categories.
A unified and accessible introduction to the basic theory of finite difference schemes.
Finite Difference Schemes Compared For Wave Deformation Characteristics In Mathematical Modeling Of Two Dimensional Long Wave Propagation
DOWNLOAD
Author : R. J. Sobey
language : en
Publisher:
Release Date : 1970
Finite Difference Schemes Compared For Wave Deformation Characteristics In Mathematical Modeling Of Two Dimensional Long Wave Propagation written by R. J. Sobey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Storm surges categories.