Texts in Computational Science and Engineering

Introduction to Numerical Methods for Variational Problems

Authors: Langtangen, Hans Petter, Mardal, Kent-Andre

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  • Teaching the concept of finite elements or variational methods in general to students with less mathematical background
  • Taking an explicit and practical approach and explaining the algorithmic aspects in detail
  • Suitable already in the third year
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eBook $19.99
$44.99 (listprice)
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  • ISBN 978-3-030-23788-2
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Hardcover $39.99
$84.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-23787-5
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  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $29.99
$59.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-23790-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.

About the authors

Hans Petter Langtangen (1962 - 2016) was a professor of computer science at the University of Oslo. He was formerly a professor of mechanics and was the Director of "Center for Biomedical Computing", a Norwegian Center of Excellence at the Simula Research Laboratory in Oslo. Langtangen has more than 100 scientific publications, including journal papers and many books, e.g., the bestseller TCSE 6 "A Primer on Scientific Programming with Python" (editions 1 - 5). He has also developed open source and commercial software systems for computational sciences.”
Kent-Andre Mardal is a professor of mechanics at the University of Oslo and an adjunct research scientist at Simula Research Laboratory. He has published more than 80 scientific publications, including journal papers, one co-authored book and the co-edited the book about the FEniCS project, for which he was a core developer for many years.  

Reviews

“Hans Petter Langtangen's spirit and passion for computational science, education, and interdisciplinary collaboration continues to manifest through a text that is lively, conversational, informative, approachable, and interactive.” (Akil Narayan, SIAM Review, Vol. 62 (4), 2020)

“Introduction to Numerical Methods for Variational Problems is well-suited for undergraduate or beginning graduate students in applied mathematics, physics, or engineering that want to begin to learn about the numerical analysis of or scientific computing with PDEs. … Introduction to Numerical Methods for Variational Problems seems to me like a very good place to start.” (MAA Reviews, March 5, 2020)


Table of contents (10 chapters)

Table of contents (10 chapters)
  • Quick Overview of the Finite Element Method

    Pages 1-6

    Langtangen, Hans Petter (et al.)

  • Function Approximation by Global Functions

    Pages 7-68

    Langtangen, Hans Petter (et al.)

  • Function Approximation by Finite Elements

    Pages 69-129

    Langtangen, Hans Petter (et al.)

  • Variational Formulations with Global Basis Functions

    Pages 131-171

    Langtangen, Hans Petter (et al.)

  • Variational Formulations with Finite Elements

    Pages 173-231

    Langtangen, Hans Petter (et al.)

Buy this book

eBook $19.99
$44.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-23788-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $39.99
$84.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-23787-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $29.99
$59.99 (listprice)
price for USA in USD
valid through June 30, 2021
  • ISBN 978-3-030-23790-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Numerical Methods for Variational Problems
Authors
Series Title
Texts in Computational Science and Engineering
Series Volume
21
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-23788-2
DOI
10.1007/978-3-030-23788-2
Hardcover ISBN
978-3-030-23787-5
Softcover ISBN
978-3-030-23790-5
Series ISSN
1611-0994
Edition Number
1
Number of Pages
XVI, 395
Number of Illustrations
12 b/w illustrations, 76 illustrations in colour
Topics