Jul 20, 2019   5:41 p.m. Iľja
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Course syllabus D1-NADR - Numerical analysis of differential equations (FCE - 2018/2019 - post-graduate studies)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: D1-NADR
Course unit title: Numerical analysis of differential equations
Mode of completion and Number of ECTS credits: Exam-PhD (5 credits)
Course contents:
- Functional spaces Wk,p(Ω).
- Trace theorem from W1,2(Ω) into L2(Ω) and its generalization.
- Embedding theorems.
- The estimation of errors for the numerical solution of elliptic equations obtained by the finite element method.
- Lax - Milgram theorem and Cea lema.
- The finite volume method for solving an elliptic boundary value problem with homogeneous
Dirichlet boundary conditions, the discrete Poincare inequality.
- Rothe method for the heat equation, stability estimates, Gronwall's lemma, Arzela -Ascoli theorem and the convergence of Rothe's method.
- The basic idea of discretization of Perona-Malik equation by the finite volume method and proof of convergence of numerical solutions to the weak solution.

Last modification made by Ing. Peter Korčák on 10/31/2017.

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