Numerical Methods for Partial Differential Equations

Derivation, properties, and implementation of fundamental numerical methods for a few key partial differential equations: convection-diffusion, heat equation, wave equation, conservation laws. Implementation in C++ based on a finite element library.

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Finite Elemente

Theorie, schnelle Löser und Anwendungen in der Elastizitätstheorie

Dietrich Braess

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Textbook.B.099.10.1 2013 6 / 3 Numerical Methods for Partial Differential Equations Available
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The mathematical theory of finite element methods

Susanne C. Brenner, L. Ridgway Scott

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Textbook.B.099.11.1 2008 6 / 3 Numerical Methods for Partial Differential Equations 3.3.2025 Unavailable
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Theorie und Numerik elliptischer Differentialgleichungen

von Wolfgang Hackbusch

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Textbook.B.099.09.2 1986 6 / 3 Numerical Methods for Partial Differential Equations Available
Textbook.B.099.09.1 1986 6 / 3 Numerical Methods for Partial Differential Equations On-site use only
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Finite volume methods for hyperbolic problems

Randall J. Leveque

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Textbook.B.099.03.1 2007 6 / 3 Numerical Methods for Partial Differential Equations 14.3.2025 Unavailable
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Partial differential equations with numerical methods

Stig Larsson, Vidar Thomée

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Textbook.B.099.07.1 2003 6 / 3 Numerical Methods for Partial Differential Equations Available
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Theory and practice of finite elements

Alexandre Ern, Jean-Luc Guermond

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Textbook.B.099.04.2 2004 6 / 3 Numerical Methods for Partial Differential Equations Available
Textbook.B.099.04.1 2004 6 / 3 Numerical Methods for Partial Differential Equations On-site use only
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Elliptic differential equations

Theory and numerical treatment

Wolfgang Hackbusch

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Textbook.B.099.08.2 2010 6 / 3 Numerical Methods for Partial Differential Equations Available
Textbook.B.099.08.1 2010 6 / 3 Numerical Methods for Partial Differential Equations On-site use only
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Finite elements

Theory, fast solvers, and applications in solid mechanics

Dietrich Braess

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Textbook.B.099.05.1 2007 6 / 3 Numerical Methods for Partial Differential Equations Available
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Numerische Behandlung partieller Differentialgleichungen

Christian Grossmann, Hans Görg Roos

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Textbook.B.099.06.2 2005 6 / 3 Numerical Methods for Partial Differential Equations Available
Textbook.B.099.06.1 2005 6 / 3 Numerical Methods for Partial Differential Equations On-site use only
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Numerical methods for elliptic and parabolic partial differential equations

Peter Knabner, Lutz Angermann

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Textbook.B.099.02.1 2003 6 / 3 Numerical Methods for Partial Differential Equations Available
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Partielle Differentialgleichungen und numerische Methoden

Stig Larsson, Vidar Thomée

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Textbook.B.099.01.1 2005 6 / 3 Numerical Methods for Partial Differential Equations Available