Introduction to Numerical Methods in Differential Equations (Texts in Applied Mathematics, 52)

Holmes, Mark H.

ISBN 10: 144192163X / ISBN 13: 9781441921635

Published by Springer, 2010

About this Item

Seller Inventory # ABLIING23Mar2411530293937

Bibliographic Details

Title: Introduction to Numerical Methods in ...

Publisher: Springer

Publication Date: 2010

Binding: Soft cover

Condition: New

About this title

Synopsis:

This book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. Includes more than 100 illustrations, exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies.

From the Back Cover:

This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equations. In this sense the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equations, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas.

The author currently teaches at Rensselaer Polytechnic Institute and is an expert in his field. He has previously published a book with Springer, Introduction to Perturbation Methods.