Applied Mathematical Sciences Volume 160 Editors S.S. Antman J.E. Marsden L. Sirovich Advisors J.K. Hale P. Holmes J. Keener J. Keller B.J. Matkowsky A. Mielke C.S. Peskin K.R. Sreenivasan
Jari Kaipio
Erkki Somersalo
Statistical and Computational Inverse Problems With 102 Figures
Jari P. Kaipio Department of Applied Physics University of Kuopio 70211 Kuopio Finland
[email protected] Editors: S.S. Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park, MD 20742-4015 USA
[email protected]
Erkki Somersalo Institute of Mathematics Helsinki University of Technology 02015 HUT Finland
[email protected] J.E. Marsden Control and Dynamical Systems, 107-81 California Institute of Technology Pasadena, CA 91125 USA
[email protected]
L. Sirovich Laboratory of Applied Mathematics Department of Biomathematical Sciences Mount Sinai School of Medicine New York, NY 10029-6574 USA
[email protected]
Mathematics Subject Classification (2000): 15A29, 35R25, 35R30, 62F15, 62P30, 62P35, 62K05, 65C05, 65C40, 65J20, 65J22, 65F10, 65F22, 65N21, 65R30, 65R32, 78A70 Library of Congress Cataloging-in-Publication Data Kaipio, Jari. Statistical and computational inverse problems / Jari Kaipio and Erkki Somersalo. p. cm. — (Applied mathematical sciences) “April 1, 2004.” Includes bibliographical references and index. ISBN 0-387-22073-9 (alk. paper) 1. Inverse problems (Differential equations) 2. Inverse problems (Differential equations)—Numerical solutions. I. Somersalo, Erkki. II. Title. III. Applied mathematical sciences (Springer-Verlag New York, Inc.) QA377.K33 2004 515′.357—dc22 2004049181 ISBN 0-387-22073-9
Printed on acid-free paper.
© 2005 Springer Science+Business Media, Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, Inc., 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis.