Numerical Methods for Differential Equations

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Release : 2018-05-04
Genre : Mathematics
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Book Rating : 554/5 ( reviews)

Numerical Methods for Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods for Differential Equations write by J.R. Dormand. This book was released on 2018-05-04. Numerical Methods for Differential Equations available in PDF, EPUB and Kindle. 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.

Introduction to Numerical Methods in Differential Equations

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Release : 2007-04-05
Genre : Mathematics
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Book Rating : 213/5 ( reviews)

Introduction to Numerical Methods in Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Numerical Methods in Differential Equations write by Mark H. Holmes. This book was released on 2007-04-05. Introduction to Numerical Methods in Differential Equations available in PDF, EPUB and Kindle. This book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. The objective is that students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. Includes an extensive collection of exercises, which develop both the analytical and computational aspects of the material. In addition to more than 100 illustrations, the book includes a large collection of supplemental material: exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies.

Numerical Methods for Ordinary Differential Equations

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Release : 2004-08-20
Genre : Mathematics
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Book Rating : 260/5 ( reviews)

Numerical Methods for Ordinary Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods for Ordinary Differential Equations write by J. C. Butcher. This book was released on 2004-08-20. Numerical Methods for Ordinary Differential Equations available in PDF, EPUB and Kindle. 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.

Numerical Methods for Ordinary Differential Equations

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Release : 2010-11-11
Genre : Mathematics
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Book Rating : 483/5 ( reviews)

Numerical Methods for Ordinary Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical Methods for Ordinary Differential Equations write by David F. Griffiths. This book was released on 2010-11-11. Numerical Methods for Ordinary Differential Equations available in PDF, EPUB and Kindle. 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

Robust Numerical Methods for Singularly Perturbed Differential Equations

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Release : 2008-09-17
Genre : Mathematics
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Book Rating : 675/5 ( reviews)

Robust Numerical Methods for Singularly Perturbed Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Robust Numerical Methods for Singularly Perturbed Differential Equations write by Hans-Görg Roos. This book was released on 2008-09-17. Robust Numerical Methods for Singularly Perturbed Differential Equations available in PDF, EPUB and Kindle. This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics.