Introduction to Numerical Methods in Differential Equations

Language: English

Published by Springer New York, Springer US, 2010

144192163X / 9781441921635

Series: Book 7 of 55 - Texts in Applied Mathematics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - The title gives a reasonable rst-order approximation to what this book is about. To explain why, let's start with the expression 'di erential equations.' These are essential in science and engineering, because the laws of nature t- ically result in equations relating spatial and temporal changes in one or more variables.Todevelopanunderstandingofwhatisinvolvedin ndingsolutions, the book begins with problems involving derivatives for only one independent variable, and these give rise to ordinary di erential equations. Speci cally, the rst chapter considers initial value problems (time derivatives), and the second concentrates on boundary value problems (space derivatives). In the succeeding four chapters problems involving both time and space derivatives, partial di erential equations, are investigated. This brings us to the next expression in the title: 'numerical methods.' This is a book about how to transform differential equations into problems that can be solved using a computer.The fact is that computers are only able to solve discrete problems and generally do this using nite-precision arithmetic. What this means is that in deriving and then using a numerical algorithmthecorrectnessofthediscreteapproximationmustbeconsidered,as must the consequences of round-o error in using oating-point arithmetic to calculatetheanswer.Oneoftheinterestingaspectsofthesubjectisthatwhat appears to be an obviously correct numerical method can result in complete failure. Consequently, although the book concentrates on the derivation and use of numerical methods, the theoretical underpinnings are also presented andusedinthedevelopment.

Seller Inventory # 9781441921635

Title
Introduction to Numerical Methods in Differential Equations
Author
Mark H. Holmes
Publisher
Springer New York, Springer US
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
144192163X
ISBN 13
9781441921635
Item weight
371 grams
Dimensions
229x152x14 mm
Series
Book 7 of 55: Texts in Applied Mathematics

AHA-BUCH GmbH

Einbeck, Germany

5-star seller

AbeBooks seller since August 14, 2006

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