E-Book Overview
In this volume, I have collected several papers which were presented at the international conference called "Venice-2/Symposium on Applied and In dustrial Mathematics". Such a conference was held in Venice, Italy, between June 11 and 16,1998, and was intended as the follow-up of the very successful similar event (called "Venice-1/Symposium on Applied and Industrial Math ematics"), that was also organized in Venice in October 1989. The Venice-1 conference ended up with a Kluwer volume like this one. I am grateful to Kluwer for having accepted to publish the present volume, the aim of which is to update somehow the state-of-the-art in the field of Ap plied Mathematics as well as in that of the nowadays rather more developed area of Industrial Mathematics. The most of the invited (key-note) speakers contributed to this volume with a paper related to their talk. There are, in addition·, a few significant contributed papers, selected on the basis of their quality and relevance to the present-time research activities. The topics considered in the conference range from rather general sub jects in applied and numerical analysis, to more specialized subjects such as polymers and disordered media, granular flow, semiconductor mathematics, superconductors, elasticity, tomography and other inverse problems, financial modeling, photographic sciences, etc. The papers collected in this volume provide a selection of them. It is clear from the previous list that some attention has been paid to relatively new and emerging fields.
E-Book Content
Applied and Industrial Mathematics, Venice-2, 1998
Applied and Industrial Mathematics, Venice-2, 1998 Selected Papers from the 'Venice-2/Symposium on Applied and Industrial Mathematics', June 11-16, 1998, Venice, Italy
edited by
Renato Spigler Department of Mathematics, Universitä degli Studi Roma Tre, Rome, Italy
SPRINGER SCIENCE+BUSINESS MEDIA, B.V.
A C L P . Catalogue record for this book is available from the Library of Congress.
ISBN 978-94-011-4193-2 (eBook) ISBN 978-94-010-5823-0 DOI 10.1007/978-94-011-4193-2
Printed on acid-free paper
A l l Rights Reserved © 2000 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2000 Softcover reprint of the hardcover 1st edition 2000 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.
TABLE OF CONTENTS
Preface
Vll
INVITED PAPERS Weighted Monte Carlo: A New Technique for Calibrating Asset-Pricing Models M. Avellaneda. R. Buff, C. Friedman, N Grandchamp, L. Kruk, and J. Newman Nonlocal Models of Shear Banding J. Bebernes
33
Stabilization Techniques for the Finite Element Method F. Brezzi and A. Russo
47
Moving Point Interactions G. Dell 'Antonio
59
A Mathematical Model for the Analysis of Polymers P-V-T-Diagrams
A. Fasano and A. Mancini
75
Asymptotic Properties ofReaction-Diffussion Systems Modeling Chemotaxis
M.A. Herrero
89
Two Integral Geometry Problems of Volterra Type on a Plane
M.M. Lavrent'ev
109
Shallow water & the Diffeomorphism Group
gP. McKean
135
Island Dynamics and Level Set Methods for Continuum Modeling of Epitaxial Growth B. Merriman. R. Caflisch, S. Osher, C. Ratsch, S. Chen, M. Kang, and
M. Gyure
145
On a Heuristic Expansion Method in the Strong Localization Regime of the Theory of Disordered Systems L. Pastur
173
Studying the Asymptotics of Selberg-type Inte