Coupled Multiscale Simulation and Optimization in Nanoelectronics
Designing complex integrated circuits relies heavily on mathematical methods and calls for suitable simulation and optimization tools. The current design approach involves simulations and optimizations in different physical domains (device, circuit, therm
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Michael Günther Editor
Coupled Multiscale Simulation and Optimization in Nanoelectronics
MATHEMATICS IN INDUSTRY Editors Hans-Georg Bock Frank de Hoog Avner Friedman Arvind Gupta André Nachbin Helmut Neunzert William R. Pulleyblank Torgeir Rusten Fadil Santosa Anna-Karin Tornberg
THE EUROPEAN CONSORTIUM FOR MATHEMATICS IN INDUSTRY SUBSERIES Managing Editor Vincenzo Capasso Editors Luis L. Bonilla Michael Günther Robert Mattheij Helmut Neunzert Otmar Scherzer Wil H.A. Schilders
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More information about this series at http://www.springer.com/series/4650
Michael GRunther Editor
Coupled Multiscale Simulation and Optimization in Nanoelectronics
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Editor Michael GRunther Lehrstuhl fRur Angewandte Mathematik/Numerische Analysis Bergische UniversitRat Wuppertal Wuppertal Germany
ISSN 1612-3956 Mathematics in Industry ISBN 978-3-662-46671-1 DOI 10.1007/978-3-662-46672-8
ISSN 2198-3283
(electronic)
ISBN 978-3-662-46672-8
(eBook)
Library of Congress Control Number: 2015941321 Mathematics Subject Classification Numbers (2010): 65M20, 65L80, 68N30, 78M34, 93A30, 97U50 Springer Heidelberg New York Dordrecht London © Springer-Verlag Berlin Heidelberg 2015 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. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer-Verlag GmbH Berlin Heidelberg is part of Springer Science+Business Media (www.springer. com)
Angelo Marcello Anile (1948–2007) Dedicated to Angelo Marcello Anile, the scientist, colleague, and dear friend. Without his enthusiasm, mediative attitude, and extensive knowledge, COMSON would never have been possible.
Preface
Circuit design based on numerical simulation relies heavily on mathematical methods. As a result, relations have long since been established between the microelectronics industry and university groups specializing in simulations for semiconductor processes and devices, electromagnetics and electronic circuits. State-of-the-art methods from the fields of applied and numerical analysis, as well as newly developed de
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