Computer Solution of Ordinary Differential Equations PDF Download
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Author: Lawrence F. Shampine
Publisher: W.H. Freeman
ISBN:
Category : Differential equations
Languages : en
Pages : 344
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Book Description
Author: Lawrence F. Shampine
Publisher: W.H. Freeman
ISBN:
Category : Differential equations
Languages : en
Pages : 344
Get Book Here
Book Description
Author: L. F. Shampine
Publisher:
ISBN:
Category : Ordinary differential equations
Languages : en
Pages : 318
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Book Description
Author: Uri M. Ascher
Publisher: SIAM
ISBN: 9781611971392
Category : Mathematics
Languages : en
Pages : 305
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Book Description
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: Seyed Mohamed Reza Hosseinian
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 234
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Book Description
Author: Victoria Roberts
Publisher: Thomson
ISBN: 9780534422318
Category :
Languages : en
Pages :
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Book Description
Author: Roberts
Publisher: Thomson
ISBN: 9780534422394
Category :
Languages : en
Pages :
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Book Description
Author: Ernst Hairer
Publisher: Springer Science & Business Media
ISBN: 354078862X
Category : Mathematics
Languages : en
Pages : 541
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Book Description
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: Arun Ghosh
Publisher: New Central Book Agency
ISBN: 9788173813382
Category : Computers
Languages : en
Pages : 416
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Book Description
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: J.R. Dormand
Publisher: CRC Press
ISBN: 1351092006
Category : Mathematics
Languages : en
Pages : 349
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Book Description
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: L.F. Shampine
Publisher: Routledge
ISBN: 1351427555
Category : Mathematics
Languages : en
Pages : 632
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Book Description
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.
