Resonant Tunneling Quantum Waveguides of Variable Cross-Section, Asy
This volume studies electron resonant tunneling in two- and three-dimensional quantum waveguides of variable cross-sections in the time-independent approach. Mathematical models are suggested for the resonant tunneling and develop asymptotic and numerical
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Lecture Notes on Numerical Methods in Engineering and Sciences
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Lecture Notes on Numerical Methods in Engineering and Sciences Series editor Eugenio Oñate, Barcelona, Spain Editorial Board Francisco Chinesta, Paris, France Charbel Farhat, Stanford, USA Carlos Felippa, Colorado, USA Antonio Huerta, Barcelona, Spain Thomas J.R. Hughes, Austin, USA Sergio R. Idelsohn, Barcelona, Spain Pierre Ladeveze, Paris, France Wing Kam Liu, Evanston, USA Xavier Oliver, Technical, Barcelona, Spain Manolis Papadrakakis, Athens, Greece Jacques Périaux, Jyväskylä, Finland Bernhard Schrefler, Padova, Italy Genki Yagawa, Tokyo, Japan Mingwu Yuan, Beijing, China
Aims and Scope of the Series This series publishes text books on topics of general interest in the field of computational engineering sciences. The books will focus on subjects in which numerical methods play a fundamental role for solving problems in engineering and applied sciences. Advances in finite element, finite volume, finite differences, discrete and particle methods and their applications are examples of the topics covered by the series. The main intended audience is the first year graduate student. Some books define the current state of a field to a highly specialised readership; others are accessible to final year undergraduates, but essentially the emphasis is on accessibility and clarity. The books will be also useful for practising engineers and scientists interested in state of the art information on the theory and application of numerical methods.
More information about this series at http://www.springer.com/series/8548
Lev Baskin Pekka Neittaanmäki Boris Plamenevskii Oleg Sarafanov •
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Resonant Tunneling Quantum Waveguides of Variable Cross-Section, Asymptotics, Numerics, and Applications
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Lev Baskin Department of Mathematics St. Petersburg State University of Telecommunications St. Petersburg Russia Pekka Neittaanmäki Mathematical Information Technology University of Jyväskylä Jyväskylä Finland
Boris Plamenevskii Department of Mathematical Physics St. Petersburg State University St. Petersburg Russia Oleg Sarafanov Department of Mathematical Physics St. Petersburg State University St. Petersburg Russia
ISSN 1877-7341 ISSN 1877-735X (electronic) Lecture Notes on Numerical Methods in Engineering and Sciences ISBN 978-3-319-15104-5 ISBN 978-3-319-15105-2 (eBook) DOI 10.1007/978-3-319-15105-2 Library of Congress Control Number: 2015935611 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 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, tr
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