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Author : Lawrence F. Shampine
Publisher : W.H. Freeman
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (5 download)
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:
Author : L. F. Shampine
Publisher :
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.:/5 (861 download)
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:
Author : Uri M. Ascher
Publisher : SIAM
ISBN 13 : 0898714125
Total Pages : 304 pages
Book Rating : 4.8/5 (987 download)
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.
Author : Uri M. Ascher
Publisher : SIAM
ISBN 13 : 9781611971392
Total Pages : 305 pages
Book Rating : 4.9/5 (713 download)
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.
Author : Victoria Roberts
Publisher : Thomson
ISBN 13 : 9780534422318
Total Pages : pages
Book Rating : 4.4/5 (223 download)
Download or read book C. S. M. Computer Solution of Ordinary Differential Equations written by Victoria Roberts and published by Thomson. This book was released on 2006-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerard Meurant
Publisher : Elsevier
ISBN 13 : 0080529518
Total Pages : 777 pages
Book Rating : 4.0/5 (85 download)
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.
Author : J.R. Dormand
Publisher : CRC Press
ISBN 13 : 1351092006
Total Pages : 283 pages
Book Rating : 4.3/5 (51 download)
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 283 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.
Author : Arun Ghosh
Publisher : New Central Book Agency
ISBN 13 : 9788173813382
Total Pages : 416 pages
Book Rating : 4.8/5 (133 download)
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.
Author : L.F. Shampine
Publisher : Routledge
ISBN 13 : 1351427555
Total Pages : 632 pages
Book Rating : 4.3/5 (514 download)
Download or read book Numerical Solution of Ordinary Differential Equations written by L.F. Shampine and published by Routledge. This book was released on 2018-10-24 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new work is an introduction to the numerical solution of the initial value problem for a system of ordinary differential equations. The first three chapters are general in nature, and chapters 4 through 8 derive the basic numerical methods, prove their convergence, study their stability and consider how to implement them effectively. The book focuses on the most important methods in practice and develops them fully, uses examples throughout, and emphasizes practical problem-solving methods.
Author : Andrei D. Polyanin
Publisher : CRC Press
ISBN 13 : 1351643916
Total Pages : 1767 pages
Book Rating : 4.3/5 (516 download)
Download or read book Handbook of Ordinary Differential Equations written by Andrei D. Polyanin and published by CRC Press. This book was released on 2017-11-15 with total page 1767 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.
Author : Ernst Hairer
Publisher : Springer Science & Business Media
ISBN 13 : 354078862X
Total Pages : 541 pages
Book Rating : 4.5/5 (47 download)
Download or read book Solving Ordinary Differential Equations I written by Ernst Hairer and published by Springer Science & Business Media. This book was released on 2008-04-03 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included.
Author : Uri M. Ascher
Publisher : SIAM
ISBN 13 : 9781611971231
Total Pages : 620 pages
Book Rating : 4.9/5 (712 download)
Download or read book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations written by Uri M. Ascher and published by SIAM. This book was released on 1994-12-01 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Charles Roberts
Publisher : CRC Press
ISBN 13 : 1439819092
Total Pages : 604 pages
Book Rating : 4.4/5 (398 download)
Download or read book Ordinary Differential Equations written by Charles Roberts and published by CRC Press. This book was released on 2011-06-13 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a computer and interpreting that solution are fairly elementary. Bringing the computer into the classroom, Ordinary Differential Equations: Applications, Models, and Computing emphasizes the use of computer software in teaching differential equations. Providing an even balance between theory, computer solution, and application, the text discusses the theorems and applications of the first-order initial value problem, including learning theory models, population growth models, epidemic models, and chemical reactions. It then examines the theory for n-th order linear differential equations and the Laplace transform and its properties, before addressing several linear differential equations with constant coefficients that arise in physical and electrical systems. The author also presents systems of first-order differential equations as well as linear systems with constant coefficients that arise in physical systems, such as coupled spring-mass systems, pendulum systems, the path of an electron, and mixture problems. The final chapter introduces techniques for determining the behavior of solutions to systems of first-order differential equations without first finding the solutions. Designed to be independent of any particular software package, the book includes a CD-ROM with the software used to generate the solutions and graphs for the examples. The appendices contain complete instructions for running the software. A solutions manual is available for qualifying instructors.
Author : James M. Ortega
Publisher : SIAM
ISBN 13 : 0898710553
Total Pages : 99 pages
Book Rating : 4.8/5 (987 download)
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.
Author : Valentin F. Zaitsev
Publisher : CRC Press
ISBN 13 : 1420035339
Total Pages : 815 pages
Book Rating : 4.4/5 (2 download)
Download or read book Handbook of Exact Solutions for Ordinary Differential Equations written by Valentin F. Zaitsev and published by CRC Press. This book was released on 2002-10-28 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handboo
Author : David F. Griffiths
Publisher : Springer Science & Business Media
ISBN 13 : 0857291483
Total Pages : 274 pages
Book Rating : 4.8/5 (572 download)
Download or read book Numerical Methods for Ordinary Differential Equations written by David F. Griffiths and published by Springer Science & Business Media. This book was released on 2010-11-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge--Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com
Author : Alfred Gray
Publisher : Springer
ISBN 13 : 9780387982328
Total Pages : 530 pages
Book Rating : 4.9/5 (823 download)
Download or read book Introduction to Ordinary Differential Equations with Mathematica® written by Alfred Gray and published by Springer. This book was released on 1998-06-01 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this companion volume to our text is to provide instructors (and eventu ally students) with some additional information to ease the learning process while further documenting the implementations of Mathematica and ODE. In an ideal world this volume would not be necessary, since we have systematically worked to make the text unambiguous and directly useful, by providing in the text worked examples of every technique which is discussed at the theoretical level. However, in our teaching we have found that it is helpful to have further documentation of the various solution techniques introduced in the text. The subject of differential equations is particularly well-suited to self-study, since one can always verify by hand calculation whether or not a given proposed solution is a bona fide solution of the differential equation and initial conditions. Accordingly, we have not reproduced the steps of the verification process in every case, rather content with the illustration of some basic cases of verification in the text. As we state there, students are strongly encouraged to verify that the proposed solution indeed satisfies the requisite equation and supplementary conditions.
