Computer Solution of Ordinary Differential Equations

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Author :
Publisher : W.H. Freeman
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Computer Solution of Ordinary Differential Equations by : Lawrence F. Shampine

Download or read book Computer Solution of Ordinary Differential Equations written by Lawrence F. Shampine and published by W.H. Freeman. This book was released on 1975 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Solution of Differential Equations

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Author :
Publisher : New Central Book Agency
ISBN 13 : 9788173813382
Total Pages : 416 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Computer Solution of Differential Equations by : Arun Ghosh

Download or read book Computer Solution of Differential Equations written by Arun Ghosh and published by New Central Book Agency. This book was released on 2008 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to present a substantial introduction to the ideas, phenomena and methods of ordinary differential equations that are frequently found in engineering, physics, chemistry and mathematics.

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

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Author :
Publisher : SIAM
ISBN 13 : 0898714125
Total Pages : 304 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations by : Uri M. Ascher

Download or read book Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations written by Uri M. Ascher and published by SIAM. This book was released on 1998-08-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains all the material necessary for a course on the numerical solution of differential equations.

Computer Solution of Ordinary Differential Equations: the Initial Value Problem

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Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (861 download)

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Book Synopsis Computer Solution of Ordinary Differential Equations: the Initial Value Problem by : L. F. Shampine

Download or read book Computer Solution of Ordinary Differential Equations: the Initial Value Problem written by L. F. Shampine and published by . This book was released on 1984 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Algebra and Differential Equations

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521447577
Total Pages : 272 pages
Book Rating : 4.4/5 (475 download)

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Book Synopsis Computer Algebra and Differential Equations by : E. Tournier

Download or read book Computer Algebra and Differential Equations written by E. Tournier and published by Cambridge University Press. This book was released on 1994-03-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.

Computer Solution of Large Linear Systems

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Publisher : Elsevier
ISBN 13 : 0080529518
Total Pages : 777 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Computer Solution of Large Linear Systems by : Gerard Meurant

Download or read book Computer Solution of Large Linear Systems written by Gerard Meurant and published by Elsevier. This book was released on 1999-06-16 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

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Publisher : SIAM
ISBN 13 : 9781611971392
Total Pages : 305 pages
Book Rating : 4.9/5 (713 download)

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Book Synopsis Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations by : Uri M. Ascher

Download or read book Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations written by Uri M. Ascher and published by SIAM. This book was released on 1998-01-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field's leading authorities, it provides a unified presentation of initial value and boundary value problems in ODEs as well as differential-algebraic equations. The approach is aimed at a thorough understanding of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition. It also addresses reasons why existing software succeeds or fails. This book is a practical and mathematically well-informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development, such as symplectic methods for Hamiltonian systems, are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included.

Solution of Partial Differential Equations on Vector and Parallel Computers

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Publisher : SIAM
ISBN 13 : 0898710553
Total Pages : 99 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Solution of Partial Differential Equations on Vector and Parallel Computers by : James M. Ortega

Download or read book Solution of Partial Differential Equations on Vector and Parallel Computers written by James M. Ortega and published by SIAM. This book was released on 1985-09-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.

Computer Solution of Differential Equations by Operational Methods

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Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (136 download)

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Book Synopsis Computer Solution of Differential Equations by Operational Methods by : Jerry Wayne McLarty

Download or read book Computer Solution of Differential Equations by Operational Methods written by Jerry Wayne McLarty and published by . This book was released on 1970 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Differential Equations

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Publisher : CRC Press
ISBN 13 : 1351083554
Total Pages : 385 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Numerical Methods for Differential Equations by : J.R. Dormand

Download or read book Numerical Methods for Differential Equations written by J.R. Dormand and published by CRC Press. This book was released on 2018-05-04 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: With emphasis on modern techniques, Numerical Methods for Differential Equations: A Computational Approach covers the development and application of methods for the numerical solution of ordinary differential equations. Some of the methods are extended to cover partial differential equations. All techniques covered in the text are on a program disk included with the book, and are written in Fortran 90. These programs are ideal for students, researchers, and practitioners because they allow for straightforward application of the numerical methods described in the text. The code is easily modified to solve new systems of equations. Numerical Methods for Differential Equations: A Computational Approach also contains a reliable and inexpensive global error code for those interested in global error estimation. This is a valuable text for students, who will find the derivations of the numerical methods extremely helpful and the programs themselves easy to use. It is also an excellent reference and source of software for researchers and practitioners who need computer solutions to differential equations.

Computer Solutions in Physics

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Publisher : World Scientific
ISBN 13 : 9812709363
Total Pages : 291 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Computer Solutions in Physics by : Steven Van Wyk

Download or read book Computer Solutions in Physics written by Steven Van Wyk and published by World Scientific. This book was released on 2008 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the great progress in numerical methods and the speed of the modern personal computer, if you can formulate the correct physics equations, then you only need to program a few lines of code to get the answer. Where other books on computational physics dwell on the theory of problems, this book takes a detailed look at how to set up the equations and actually solve them on a PC.Focusing on popular software package Mathematica, the book offers undergraduate student a comprehensive treatment of the methodology used in programing solutions to equations in physics.

Numerical Solution of SDE Through Computer Experiments

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Publisher : Springer Science & Business Media
ISBN 13 : 3642579132
Total Pages : 304 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Numerical Solution of SDE Through Computer Experiments by : Peter Eris Kloeden

Download or read book Numerical Solution of SDE Through Computer Experiments written by Peter Eris Kloeden and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an easily accessible, computationally-oriented introduction into the numerical solution of stochastic differential equations using computer experiments. It develops in the reader an ability to apply numerical methods solving stochastic differential equations. It also creates an intuitive understanding of the necessary theoretical background. Software containing programs for over 100 problems is available online.

Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations

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Publisher : Springer Nature
ISBN 13 : 9811376697
Total Pages : 469 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations by : Mitsuhiro T. Nakao

Download or read book Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations written by Mitsuhiro T. Nakao and published by Springer Nature. This book was released on 2019-11-11 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decades, various mathematical problems have been solved by computer-assisted proofs, among them the Kepler conjecture, the existence of chaos, the existence of the Lorenz attractor, the famous four-color problem, and more. In many cases, computer-assisted proofs have the remarkable advantage (compared with a “theoretical” proof) of additionally providing accurate quantitative information. The authors have been working more than a quarter century to establish methods for the verified computation of solutions for partial differential equations, mainly for nonlinear elliptic problems of the form -∆u=f(x,u,∇u) with Dirichlet boundary conditions. Here, by “verified computation” is meant a computer-assisted numerical approach for proving the existence of a solution in a close and explicit neighborhood of an approximate solution. The quantitative information provided by these techniques is also significant from the viewpoint of a posteriori error estimates for approximate solutions of the concerned partial differential equations in a mathematically rigorous sense. In this monograph, the authors give a detailed description of the verified computations and computer-assisted proofs for partial differential equations that they developed. In Part I, the methods mainly studied by the authors Nakao and Watanabe are presented. These methods are based on a finite dimensional projection and constructive a priori error estimates for finite element approximations of the Poisson equation. In Part II, the computer-assisted approaches via eigenvalue bounds developed by the author Plum are explained in detail. The main task of this method consists of establishing eigenvalue bounds for the linearization of the corresponding nonlinear problem at the computed approximate solution. Some brief remarks on other approaches are also given in Part III. Each method in Parts I and II is accompanied by appropriate numerical examples that confirm the actual usefulness of the authors’ methods. Also in some examples practical computer algorithms are supplied so that readers can easily implement the verification programs by themselves.

Numerical Solution of Partial Differential Equations on Parallel Computers

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Publisher : Springer Science & Business Media
ISBN 13 : 3540316191
Total Pages : 491 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Numerical Solution of Partial Differential Equations on Parallel Computers by : Are Magnus Bruaset

Download or read book Numerical Solution of Partial Differential Equations on Parallel Computers written by Are Magnus Bruaset and published by Springer Science & Business Media. This book was released on 2006-03-05 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the way from the abacus to the supercomputing power of today. When trying to replicate Nature in the computer’s silicon test tube, there is need for precise and computable process descriptions. The scienti?c ?elds of Ma- ematics and Physics provide a powerful vehicle for such descriptions in terms of Partial Differential Equations (PDEs). Formulated as such equations, physical laws can become subject to computational and analytical studies. In the computational setting, the equations can be discreti ed for ef?cient solution on a computer, leading to valuable tools for simulation of natural and man-made processes. Numerical so- tion of PDE-based mathematical models has been an important research topic over centuries, and will remain so for centuries to come. In the context of computer-based simulations, the quality of the computed results is directly connected to the model’s complexity and the number of data points used for the computations. Therefore, computational scientists tend to ?ll even the largest and most powerful computers they can get access to, either by increasing the si e of the data sets, or by introducing new model terms that make the simulations more realistic, or a combination of both. Today, many important simulation problems can not be solved by one single computer, but calls for parallel computing.

Computer Solution of Ordinary Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.:/5 (635 download)

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Book Synopsis Computer Solution of Ordinary Differential Equations by : Seyed Mohamed Reza Hosseinian

Download or read book Computer Solution of Ordinary Differential Equations written by Seyed Mohamed Reza Hosseinian and published by . This book was released on 1978 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Solved Differential Equations

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Publisher : Xlibris Corporation
ISBN 13 : 1477112278
Total Pages : 77 pages
Book Rating : 4.4/5 (771 download)

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Book Synopsis Computer Solved Differential Equations by : Joe J.

Download or read book Computer Solved Differential Equations written by Joe J. and published by Xlibris Corporation. This book was released on 2012-05-21 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a how-to-do booklet. The differential equations have the answers in tabular form. Knowing how to use a table of derivatives is necessary. The computer language was in basic format. You can use any computer language to do these problems. The author has 35 years of teaching in a technical college setting. The courses taught were mechanical engineering, physics, and math courses. The differential equations course was taught using classroom lectures and a lab session using experiments. The student had to present a report containing classical solutions, experimental results, and computer solutions to each physical experiment.

The Analog Computer Solution of Differential Equations of the Form L(D)y(t)

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Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (745 download)

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Book Synopsis The Analog Computer Solution of Differential Equations of the Form L(D)y(t) by : Louis G. Birta

Download or read book The Analog Computer Solution of Differential Equations of the Form L(D)y(t) written by Louis G. Birta and published by . This book was released on 1967 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analog (or digital) computer solution of a linear differential equation of the form L(D)y(t) = M(D)u(t) is invariably obtained by solving an equivalent set of linear first-order differential equations. It is shown in this Report that if the polynomials L(D) and M(D) have a common factor, this equivalent set of first-order equations must be chosen in a particular manner. The initial conditions associated with the equivalent first-order system are intimately related to the given initial conditions on y and its derivatives. The fundamental equation embodying this interrelation is developed. (Author).