E-Book Overview
Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application to specific problems in science and engineering.
The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23–27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide.
Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work.
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Christian Constanda Bardo E.J. Bodmann Haroldo F. de Campos Velho Editors Integral Methods in Science and Engineering Progress in Numerical and Analytic Techniques Integral Methods in Science and Engineering Christian Constanda • Bardo E.J. Bodmann Haroldo F. de Campos Velho Editors Integral Methods in Science and Engineering Progress in Numerical and Analytic Techniques Editors Christian Constanda Department of Mathematics The University of Tulsa Tulsa, OK, USA Bardo E.J. Bodmann Mechanical Engineering Federal University of Rio Grande do Sul Porto Alegre, RS, Brazil Haroldo F. de Campos Velho Associate Laboratory for Computing and Applied Mathematics National Institute for Space Research São José dos Campos, SP, Brazil ISBN 978-1-4614-7827-0 ISBN 978-1-4614-7828-7 (eBook) DOI 10.1007/978-1-4614-7828-7 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013943828 Mathematics Subject Classification (2010): 00B25, 35-06, 41-06, 44-06, 45-06, 65-06, 76-06, 86-06, 86A10 © Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Cente