Numerical Methods for Elliptic and Parabolic Partial Differential Equations
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathema
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Editors J.E. Marsden L. Sirovich S.S. Antman Advisors G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton
Peter Knabner
Lutz Angermann
Numerical Methods for Elliptic and Parabolic Partial Differential Equations
With 67 Figures
Peter Knabner Institute for Applied Mathematics University of Erlangen Martensstrasse 3 D-91058 Erlangen Germany [email protected]
Lutz Angermann Institute for Mathematics University of Clausthal Erzstrasse 1 D-38678 Clausthal-Zellerfeld Germany [email protected]
Series Editors J.E. Marsden Control and Dynamical Systems, 107–81 California Institute of Technology Pasadena, CA 91125 USA [email protected]
L. Sirovich Division of Applied Mathematics Brown University Providence, RI 02912 USA [email protected]
S.S. Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park, MD 20742-4015 USA [email protected] Mathematics Subject Classification (2000): 65Nxx, 65Mxx, 65F10, 65H10 Library of Congress Cataloging-in-Publication Data Knabner, Peter. [Numerik partieller Differentialgleichungen. English] Numerical methods for elliptic and parabolic partial differential equations / Peter Knabner, Lutz Angermann. p. cm. — (Texts in applied mathematics ; 44) Include bibliographical references and index. ISBN 0-387-95449-X (alk. paper) 1. Differential equations, Partial—Numerical solutions. I. Angermann, Lutz. II. Title. III. Series. QA377.K575 2003 515′.353—dc21 2002044522 ISBN 0-387-95449-X
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Series Preface
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequen
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