Author : Taketomo Mitsui
Publisher : World Scientific
Page : 244 pages
File Size : 30,25 MB
Release : 1995
Category : Mathematics
ISBN : 9789810222291
The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.
Author : J. C. Butcher
Publisher : John Wiley & Sons
Page : 442 pages
File Size : 16,42 MB
Release : 2004-08-20
Category : Mathematics
ISBN : 0470868260
This new book updates the exceptionally popular Numerical Analysis of Ordinary Differential Equations. "This book is...an indispensible reference for any researcher."-American Mathematical Society on the First Edition. Features: * New exercises included in each chapter. * Author is widely regarded as the world expert on Runge-Kutta methods * Didactic aspects of the book have been enhanced by interspersing the text with exercises. * Updated Bibliography.
Author : Taketomo Mitsui
Publisher : World Scientific
Page : 240 pages
File Size : 11,65 MB
Release : 1995-10-12
Category : Mathematics
ISBN : 9814500569
The book collects original articles on numerical analysis of ordinary differential equations and its applications. Some of the topics covered in this volume are: discrete variable methods, Runge-Kutta methods, linear multistep methods, stability analysis, parallel implementation, self-validating numerical methods, analysis of nonlinear oscillation by numerical means, differential-algebraic and delay-differential equations, and stochastic initial value problems.
Author : A. Iserles
Publisher : Cambridge University Press
Page : 481 pages
File Size : 48,41 MB
Release : 2009
Category : Mathematics
ISBN : 0521734908
lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.
Author : L.F. Shampine
Publisher : Routledge
Page : 632 pages
File Size : 33,2 MB
Release : 2018-10-24
Category : Mathematics
ISBN : 1351427555
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 : Uri M. Ascher
Publisher : SIAM
Page : 620 pages
File Size : 31,70 MB
Release : 1994-12-01
Category : Mathematics
ISBN : 9781611971231
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 : Ioannis K. Argyros
Publisher : CRC Press
Page : 476 pages
File Size : 36,29 MB
Release : 2012-06-05
Category : Mathematics
ISBN : 1578087538
This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in input-output system, in the solution of nonlinear and linear differential equations, and optimization problem.
Author : Liviu Gr. Ixaru
Publisher : Springer
Page : 364 pages
File Size : 19,85 MB
Release : 1984-08-31
Category : Mathematics
ISBN : 9789027715975
Author : G. M. Phillips
Publisher : Elsevier
Page : 461 pages
File Size : 23,21 MB
Release : 1996-07-05
Category : Mathematics
ISBN : 0080519121
Theory and Applications of Numerical Analysis is a self-contained Second Edition, providing an introductory account of the main topics in numerical analysis. The book emphasizes both the theorems which show the underlying rigorous mathematics andthe algorithms which define precisely how to program the numerical methods. Both theoretical and practical examples are included. a unique blend of theory and applications two brand new chapters on eigenvalues and splines inclusion of formal algorithms numerous fully worked examples a large number of problems, many with solutions
Author : David F. Griffiths
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 46,29 MB
Release : 2010-11-11
Category : Mathematics
ISBN : 0857291483
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
