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Svein Linge · Hans Petter Langtangen
Programming for
Computations –
Python
Editorial Board
T. J.Barth
M. Griebel
D. E.Keyes
R.M. Nieminen
D. Roose
T. Schlick
Texts in Computational
Science and Engineering
Editors
Timothy J. Barth
Michael Griebel
David E. Keyes
Risto M. Nieminen
Dirk Roose
Tamar Schlick
15
More information about this series at
http://www.springer.com/series/5151
Svein Linge
Hans Petter Langtangen
Programming for
Computations – Python
A Gentle Introduction to Numerical
Simulations with Python
Svein Linge
Department of Process, Energy and
Environmental Technology
University College of Southeast Norway
Porsgrunn, Norway
Hans Petter Langtangen
Simula Research Laboratory
Lysaker, Norway
On leave from:
Department of Informatics
University of Oslo
Oslo, Norway
ISSN 1611-0994
Texts in Computational Science and Engineering
ISBN 978-3-319-32427-2
ISBN 978-3-319-32428-9 (eBook)
DOI 10.1007/978-3-319-32428-9
Springer Heidelberg Dordrecht London New York
Library of Congress Control Number: 2016945368
Mathematic Subject Classification (2010): 26-01, 34A05, 34A30, 34A34, 39-01, 40-01, 65D15, 65D25,
65D30, 68-01, 68N01, 68N19, 68N30, 70-01, 92D25, 97-04, 97U50
© The Editor(s) (if applicable) and the Author(s) 2016 This book is published open access.
Open Access
This book is distributed under the terms of the Creative Commons Attribution-Non-
Commercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits
any noncommercial use, duplication, adaptation, distribution and reproduction in any medium or format,
as long as you give appropriate credit to the original author(s) and the source, a link is provided to the
Creative Commons license and any changes made are indicated.
The images or other third party material in this book are included in the work’s Creative Commons
license, unless indicated otherwise in the credit line; if such material is not included in the work’s
Creative Commons license and the respective action is not permitted by statutory regulation, users will
need to obtain permission from the license holder to duplicate, adapt or reproduce the material.
This work is subject to copyright. All commercial 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 publica-
tion 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
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Printed on acid-free paper
Springer International Publishing AG Switzerland is part of Springer Science+Business Media
(www.springer.com)
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