Griffiths, David F.

Numerical Methods for Ordinary Differential Equations: Initial Value Problems (Springer Undergraduate Mathematics Series)

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ISBN 13:
9780857291479
author:
Griffiths, David F.
format:
Paperback
publisher:
Springer London Ltd
language:
English
Publication Year:
2010
Pages:
271
Dimensions:
23.39 x 15.6 x 1.52 centimetres
Genre:
Computers, Computer Science, General
Condition:
New
Availability:
Item usually sent within 5 working days
£34.67

Description

Numerical Methods for Ordinary Differential Equations is a comprehensive introduction to a fundamental field of numerical analysis and scientific computation. This book provides a self-contained overview of numerical methods for solving initial value problems, covering both traditional topics and emerging themes. With a focus on the practical application of the subject, it breaks down complex topics into manageable pieces, supported by numerous theoretical and computational examples. The book covers key foundation topics, including Taylor series methods, Runge-Kutta methods, and linear multistep methods, as well as modern themes such as adaptive stepsize selection, long-term dynamics, and stochastic differential equations. Over 200 exercises are provided, ranging from easy to challenging, and solutions are available to authorized instructors. A dedicated website for the book offers additional information and resources. A prerequisite of a basic university-level calculus class is assumed, although relevant background results are also summarized in appendices. This book is an ideal resource for undergraduate students with a mathematical background, and is also suitable for those looking to develop their skills in numerical analysis and scientific computation.

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