Introduction to Numerical Methods in Differential Equations

Language: English

Published by Springer New York Okt 2006, 2006

0387308911 / 9780387308913

Series: Book 7 of 55 - Texts in Applied Mathematics

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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Hardcover

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 239 pp. Englisch.…

Seller Inventory # 9780387308913

Title
Introduction to Numerical Methods in Differential Equations
Author
Mark H Holmes
Publisher
Springer New York Okt 2006
Publication year
2006
Condition
Neu
Binding
Buch
Language
English
ISBN 10
0387308911
ISBN 13
9780387308913
Item weight
481 grams
Dimensions
241x157x17 mm
Series
Book 7 of 55: Texts in Applied Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

Shipping rates from Germany to U.S.A.

Item5 to 15 business days5 to 15 business days
First item£ 19.43£ 19.43
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BuchWeltWeit Ludwig Meier e.K.

Germany