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9780521824040

Solving Odes With Matlab

by
  • ISBN13:

    9780521824040

  • ISBN10:

    0521824044

  • Format: Hardcover
  • Copyright: 2003-05-05
  • Publisher: Cambridge University Press

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Supplemental Materials

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Summary

This concise text for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the 'facts of life' for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.

Table of Contents

Preface vii
Getting Started
1(38)
Introduction
1(5)
Existence, Uniqueness, and Well-Posedness
6(13)
Standard Form
19(8)
Control of the Error
27(7)
Qualitative Properties
34(5)
Initial Value Problems
39(94)
Introduction
39(1)
Numerical Methods for IVPs
40(41)
One-Step Methods
41(16)
Methods with Memory
57(24)
Solving IVPs in Matlab
81(52)
Event Location
92(13)
ODEs Involving a Mass Matrix
105(9)
Large Systems and the Method of Lines
114(13)
Singularities
127(6)
Boundary Value Problems
133(80)
Introduction
133(2)
Boundary Value Problems
135(3)
Boundary Conditions
138(18)
Boundary Conditions at Singular Points
139(7)
Boundary Conditions at Infinity
146(10)
Numerical Methods for BVPs
156(12)
Solving BVPs in Matlab
168(45)
Delay Differential Equations
213(38)
Introduction
213(1)
Delay Differential Equations
214(3)
Numerical Methods for DDEs
217(4)
Solving DDEs in Matlab
221(26)
Other Kinds of DDEs and Software
247(4)
Bibliography 251(6)
Index 257

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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