Introduction to Numerical Methods for Variational Problems

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 elemen...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Langtangen, Hans Petter (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Mardal, Kent-Andre (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
Έκδοση:1st ed. 2019.
Σειρά:Texts in Computational Science and Engineering, 21
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Langtangen, Hans Petter.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Introduction to Numerical Methods for Variational Problems  |h [electronic resource] /  |c by Hans Petter Langtangen, Kent-Andre Mardal. 
250 |a 1st ed. 2019. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2019. 
300 |a XVI, 395 p. 88 illus., 76 illus. in color.  |b online resource. 
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490 1 |a Texts in Computational Science and Engineering,  |x 1611-0994 ;  |v 21 
505 0 |a Preface -- Quick overview of the finite element method -- Function approximation by global functions -- Function approximation by finite elements -- Variational formulations with global elements -- Variational formulations with finite elements -- Time-dependent variational forms -- Variational forms for systems of PDEs -- Nonlinear Problems -- Variational forms for linear systems -- Useful formulas. 
520 |a 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. 
650 0 |a Computer mathematics. 
650 1 4 |a Computational Mathematics and Numerical Analysis.  |0 http://scigraph.springernature.com/things/product-market-codes/M1400X 
700 1 |a Mardal, Kent-Andre.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
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830 0 |a Texts in Computational Science and Engineering,  |x 1611-0994 ;  |v 21 
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