Numerical Solution Of Boundary Value Problems For Ordinary Differential Equations
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Numerical Solution Of Boundary Value Problems For Ordinary Differential Equations
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Author : Uri M. Ascher
language : en
Publisher: SIAM
Release Date : 1988-01-01
Numerical Solution Of Boundary Value Problems For Ordinary Differential Equations written by Uri M. Ascher and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.
This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.
Numerical Solution Of Boundary Value Problems For Ordinary Differential Equations
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Author : Uri M. Ascher
language : en
Publisher:
Release Date : 1995
Numerical Solution Of Boundary Value Problems For Ordinary Differential Equations written by Uri M. Ascher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Boundary value problems categories.
Numerical Solutions Of Boundary Value Problems For Ordinary Differential Equations
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Author : A.K. Aziz
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Numerical Solutions Of Boundary Value Problems For Ordinary Differential Equations written by A.K. Aziz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Numerical Solutions of Boundary Value Problems for Ordinary Differential Equations covers the proceedings of the 1974 Symposium by the same title, held at the University of Maryland, Baltimore Country Campus. This symposium aims to bring together a number of numerical analysis involved in research in both theoretical and practical aspects of this field. This text is organized into three parts encompassing 15 chapters. Part I reviews the initial and boundary value problems. Part II explores a large number of important results of both theoretical and practical nature of the field, including discussions of the smooth and local interpolant with small K-th derivative, the occurrence and solution of boundary value reaction systems, the posteriori error estimates, and boundary problem solvers for first order systems based on deferred corrections. Part III highlights the practical applications of the boundary value problems, specifically a high-order finite-difference method for the solution of two-point boundary-value problems on a uniform mesh. This book will prove useful to mathematicians, engineers, and physicists.
Numerical Solution Of Ordinary And Partial Differential Equations The 3rd Edition
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Author : Granville Sewell
language : en
Publisher: World Scientific
Release Date : 2014-12-16
Numerical Solution Of Ordinary And Partial Differential Equations The 3rd Edition written by Granville Sewell and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-16 with Mathematics categories.
This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five. A very general-purpose and widely-used finite element program, PDE2D, which implements many of the methods studied in the earlier chapters, is presented and documented in Appendix A.The book contains the relevant theory and error analysis for most of the methods studied, but also emphasizes the practical aspects involved in implementing the methods. Students using this book will actually see and write programs (FORTRAN or MATLAB) for solving ordinary and partial differential equations, using both finite differences and finite elements. In addition, they will be able to solve very difficult partial differential equations using the software PDE2D, presented in Appendix A. PDE2D solves very general steady-state, time-dependent and eigenvalue PDE systems, in 1D intervals, general 2D regions, and a wide range of simple 3D regions.The Windows version of PDE2D comes free with every purchase of this book. More information at www.pde2d.com/contact.
Numerical Solution Of Initial Value Problems In Differential Algebraic Equations
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Author : K. E. Brenan
language : en
Publisher: SIAM
Release Date : 1996-01-01
Numerical Solution Of Initial Value Problems In Differential Algebraic Equations written by K. E. Brenan and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Mathematics categories.
This book describes some of the places where differential-algebraic equations (DAE's) occur.
Numerical Methods For Two Point Boundary Value Problems
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Author : Herbert Bishop Keller
language : en
Publisher:
Release Date : 1992
Numerical Methods For Two Point Boundary Value Problems written by Herbert Bishop Keller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
A brief, elementary yet rigorous account of practical numerical methods for solving very general two-point boundary-value problems. Advanced undergraduate level. Over 100 problems.
Numerical Solutions Of Boundary Value Problems For Ordinary Differential Equations
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Author : National Science Foundation (United States)
language : en
Publisher:
Release Date : 1975
Numerical Solutions Of Boundary Value Problems For Ordinary Differential Equations written by National Science Foundation (United States) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Numerical Solution Of Nonlinear Boundary Value Problems With Applications
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Author : Milan Kubicek
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01
Numerical Solution Of Nonlinear Boundary Value Problems With Applications written by Milan Kubicek and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Starting with a survey of accomplishments in the field, it explores initial and boundary value problems for ordinary differential equations, linear boundary value problems, and the numerical realization of parametric studies in nonlinear boundary value problems. The authors--Milan Kubicek, Professor at the Prague Institute of Chemical Technology, and Vladimir Hlavacek, Professor at the University of Buffalo--emphasize the description and straightforward application of numerical techniques rather than underlying theory. This approach reflects their extensive experience with the application of diverse numerical algorithms.
Numerical Solution Of Two Point Boundary Value Problems
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Author : Herbert B. Keller
language : en
Publisher: SIAM
Release Date : 1976-01-01
Numerical Solution Of Two Point Boundary Value Problems written by Herbert B. Keller and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-01-01 with Mathematics categories.
Lectures on a unified theory of and practical procedures for the numerical solution of very general classes of linear and nonlinear two point boundary-value problems.