APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY III SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES Published*: Vol. 67 Computational Methods for PDE in Mechanics by B. D'Acunto Vol. 68 Differential Equations, Bifurcations, and Chaos in Economics by W. B. Zhang Vol. 69 Applied and Industrial Mathematics in Italy eds. M. Primicerio, R. Spigler and V. Valente Vol. 70 Multigroup Equations for the Description of the Particle Transport in Semiconductors by M. Galler Vol. 71 Dissipative Phase Transitions eds. P. Colli, N. Kenmochi and J. Sprekels Vol. 72 Advanced Mathematical and Computational Tools in Metrology VII eds. P. Ciarlini et al. Vol. 73 Introduction to Computational Neurobiology and Clustering by B. Tirozzi, D. Bianchi and E. Ferraro Vol. 74 Wavelet and Wave Analysis as Applied to Materials with Micro or Nanostructure by C. Cattani and J. Rushchitsky Vol. 75 Applied and Industrial Mathematics in Italy II eds. V. Cutello et al. Vol. 76 Geometric Control and Nonsmooth Analysis eds. F. Ancona et al. Vol. 77 Continuum Thermodynamics by K. Wilmanski Vol. 78 Advanced Mathematical and Computational Tools in Metrology and Testing eds. F. Pavese et al. Vol. 79 From Genetics to Mathematics eds. M. Lachowicz and J. Mi“kisz Vol. 80 Inelasticity of Materials: An Engineering Approach and a Practical Guide by A. R. Srinivasa and S. M. Srinivasan Vol. 82 Applied and Industrial Mathematics in Italy III eds. E. De Bernardis, R. Spigler and V. Valente *To view the complete list of the published volumes in the series, please visit: http://www.worldscibooks.com/series/samas_series.shtml Advs in Mathematics for Applied Sciences.pmd5 8/20/2009, 2:58 PM Series on Advances in Mathematics for Applied Sciences Editorial Board N. Bellomo F. Brezzi Editor-in-Charge Editor-in-Charge Department of Mathematics IMATI - CNR Politecnico di Torino Via Ferrata 5 Corso Duca degli Abruzzi 24 27100 Pavia 10129 Torino Italy Italy E-mail: [email protected] E-mail: [email protected] M. A. J. Chaplain S. Lenhart Department of Mathematics Mathematics Department University of Dundee University of Tennessee Dundee DD1 4HN Knoxville, TN 37996–1300 Scotland USA C. M. Dafermos P. L. Lions Lefschetz Center for Dynamical Systems University Paris XI-Dauphine Brown University Place du Marechal de Lattre de Tassigny Providence, RI 02912 Paris Cedex 16 USA France J. Felcman B. Perthame Department of Numerical Mathematics Laboratoire J.-L. Lions Faculty of Mathematics and Physics Université P. et M. Curie (Paris 6) Charles University in Prague BC 187 Sokolovska 83 4, Place Jussieu 18675 Praha 8 F-75252 Paris cedex 05, France The Czech Republic K. R. Rajagopal M. A. Herrero Department of Mechanical Engrg. Departamento de Matematica Aplicada Texas A&M University Facultad de Matemáticas College Station, TX 77843-3123 Universidad Complutense USA Ciudad Universitaria s/n 28040 Madrid R. Russo Spain Dipartimento di Matematica II University Napoli S. Kawashima Via Vivaldi 43 Department of Applied Sciences 81100 Caserta Engineering Faculty Italy Kyushu University 36 Fukuoka 812 Japan M. Lachowicz Department of Mathematics University of Warsaw Ul. Banacha 2 PL-02097 Warsaw Poland Ed Bd for Advs in Math Appl Scis.pmd 1 8/20/2009, 4:24 PM Series on Advances in Mathematics for Applied Sciences Aims and Scope This Series reports on new developments in mathematical research relating to methods, qualitative and numerical analysis, mathematical modeling in the applied and the technological sciences. Contributions re- lated to constitutive theories, fluid dynamics, kinetic and transport theories, solid mechanics, system theory and mathematical methods for the applications are welcomed. 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Ed Bd for Advs in Math Appl Scis.pmd 2 8/20/2009, 4:24 PM Series on Advances in Mathematics for Applied Sciences – Vol. 82 APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY III Selected Contributions from the 9th SIMAI Conference Rome, Italy 15 – 19 September 2008 Edited by Enrico De Bernardis INSEAN, Roma, Italy Renato Spigler Università Roma Tre, Roma, Italy Vanda Valente IAC-CNR, Roma, Italy World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE Library of Congress Cataloging-in-Publication Data SIMAI Conference (9th : 2008 : Rome, Italy) Applied and industrial mathematics in Italy III : Selected Contributions from the 9th SIMAI Conference, Rome, Italy, 15–19 September 2008 / edited by Enrico De Bernardis, Renato Spigler & Vanda Valente. p. cm. -- (Series on advances in mathematics for applied sciences ; v. 82) Includes bibliographical references. ISBN-13: 978-981-4280-29-7 (hardcover : alk. paper) ISBN-10: 981-4280-29-1 (hardcover : alk. paper) 1. Engineering mathematics--Industrial applications--Congresses. 2. Manufacturing processes--Mathematical models--Congresses. I. De Bernardis, Enrico. II. Spigler, Renato, 1947. III. Valente, Vanda. IV. Title. TA329.S56 2009 620.001'51--dc22 2009031468 British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Copyright © 2010 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. Printed in Singapore. EH - Applied & Industrial Maths.pmd 1 8/26/2009, 4:28 PM August17,2009 15:6 WSPC-ProceedingsTrimSize:9inx6in preface v PREFACE In recent years, research activities in Italy concerning applied and in- dustrial mathematics have been conducted by many scientists with di(cid:11)er- ent experience, from university, research institutions and industry. They addressed a number of speci(cid:12)c subjects. Besides classical topics | such as (cid:13)uid dynamics, elasticity, continuous mechanics | new problems have beenconsidered,withapplicationtoavarietyofsituationsandphenomena such as, for example, tra(cid:14)c modelling, hemodynamics, bio(cid:12)lms; moreover, a number of research projects of interest for the industry have also been developed. The state-of-the-art of research in applied and industrial mathematics inItalycanbeassessedfromthelargenumberofcontributionspresentedat the IX Congressof Italian Society for Applied and Industrial Mathematics (SIMAI), held in Rome in September 2008. In this volume 50 papers are proposed, which were selected among all those presented at the Congress. In order to properly select these papers from a large number of sub- mitted contributions, the Editors of this volume were supported by the expertise of all members of SIMAI Scienti(cid:12)c Committee: Ubaldo Barberis, NicolaBellomo,LucaFormaggia,GiorgioFotia,AlessandroIafrati,Roberto Natalini, Mario Primicerio, Luigia Puccio and Alessandro Speranza. We would like to thank all of them, as well as all the referees involved in the selection procedure. The Editors Roma, July 20, 2009 TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk August20,2009 14:42 WSPC-ProceedingsTrimSize:9inx6in contents vii CONTENTS Preface v Multichannel Wavelet Scheme for Color Image Processing 1 S. Agreste and A. Vocaturo A Space-time Galerkin BEM for 2D ExteriorWave PropagationProblems 13 A. Aimi, M. Diligenti, I. Mazzieri, S. Panizzi and C. Guardasoni Application of Laplace Transformationto the Solution of Particular Systems of ODE’s for Nuclear Engineering 25 F. Almerico Mathematical Modeling of Coordinate Measuring Machine (CMM) Probe Head and Sensor Calibration by Least Squares Optimization and Numerical Solution of the Resulting System of Non-linear Algebraic Equations 39 F. Almerico Weighted Tra(cid:14)c Equilibrium Problem with Delay in Non-pivot Hilbert Spaces 51 A. Barbagallo and S. Pia Thermodynamics of Type-II High Tc Superconductors 62 F. Barrile and L. Restuccia Existence and Uniqueness for a Three Dimensional Model of Ferromagnetism 75 V. Berti, M. Fabrizio and C. Giorgi