Bergische Universität Wuppertal
Fachbereich Mathematik und Naturwissenschaften
Angewandte Mathematik - Numerische Analysis (AMNA)

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Univ.-Prof. Dr. Matthias Ehrhardt
Dr.  Zuzana Bučková
Sarah Treibert, M.Sc.

Lecture course in the Summer Term 2022:

Numerical Analysis and Simulation II: Partial Differential Equations (PDEs)



Exercises / Homework
 

Exercise Sheets

o I. Introduction
    1. Classification, Transformation of Variables (pdf)
o II. Elliptic Equations
    2. Finite Differences, Laplace Operator (pdf)
    3. Sobolev Spaces and Weak Derivatives (pdf)
    4. Weak Solutions and Ritz-Galerkin Method (pdf)
o III. Parabolic Equations
    5. title (pdf)
    6. title (pdf)
    7. title (pdf)
o IV. Hyperbolic Equations of Second Order
o V. Hyperbolic Systems of First Order
    10. title (pdf)
o VI.
    11. title(pdf)
    12. title (pdf)
o VII.
    13. title (pdf)



Information Resources for Matlab and Scilab


Matlab PDE Toolbox

o The Partial Differential Equation Toolbox
o Eine sehr kurze Einführung in die Partial Differential Equation Toolbox von Matlab
o Using the Matlab PDE toolbox
o The PDE Toolbox - Minicourse


Finite Elemente

o Das kleine Finite-Elemente-Skript, VL-Skript von A. Jüngel, 2004.
o Finite Elemente in Scilab: Das Lösen partieller Differentialgleichungen mit Hilfe der FreeFEM-Toolbox
o FreeFEM for Scilab / SciFreeFEM
o Openfem_scilab
o OpenFEM (An Opensource Finite Element Toolbox)
o CALFEM (Computer Aided Learning of the Finite Element Method)
o Korrekturen zum Buch von Braess


Mehrgitterverfahren

o MGNet - Homepage
o Multigrid Workbench (self-guided tour through multigrid algorithms)
o An Introduction to Multigrid Methods (Online-Buch von Pieter Wessling)
o MGLab (interactive environment for experimenting with multigrid algorithms, MATLAB)
o A short paper describing MGLab
o MUDPACK multigrid software package (fortran)




University of Wuppertal
Faculty of Mathematics and Natural Sciences
Department of Mathematics
Applied Mathematics & Numerical Analysis Group

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