文档介绍：NUMERICAL PARTIAL
DIFFERENTIAL EQUATIONS FOR
ENVIRONMENTAL SCIENTISTS AND
ENGINEERS
A First Practical Course
NUMERICAL PARTIAL
DIFFERENTIAL EQUATIONS FOR
ENVIRONMENTAL SCIENTISTS AND
ENGINEERS
A First Practical Course
Daniel R. Lynch
Dartmouth College
Dartmouth, New Hampshire
USA
4- Springer
Library of Congress Cataloging-in-PublicationData
Lynch, Daniel R.
Numerical partial differential equations for environmental scientists and engineers : a first
practical course I by Daniel R. Lynch.
p. cm.
Includes bibliographical references and index.
ISBN 0-387-23619-8 (alk. paper)
1. Differential equations, Partial-Numerical solutions. 2. Finite differences. 3. Finite
element method. 4. Inverse problems (Differential equations) I. Title.
O 2005 Springer Science+BusinessMedia, Inc.
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Printed in the United States of America.
987654321 SPIN 11055716
Contents
Preface xv
Synopsis xix
I The Finite Difference Method
Introduction
From Algebra to Calculus and Back ...........................
Distributed. Lumped. Discrete Systems .........................
PDE Solutions .......................................
IC's. BC's. Classification ....................