Approximation and stability
Additional Info
- ECTS credits: 6
- University: Hamburg University of Technology
- Semester: 2
- Lecturer 1: M. Lindner
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Objectives:
Recall and apply basic results from functional analysis; understand operator approximation methods, their stability and convergence for the approximate solution of linear equations and spectral problems.
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Topics:
Recall basic functional analysis (Hilbert spaces, operators, main theorems); stability and convergence of projection methods (Galerkin, collocation, spline interpolation); condition numbers and regularization of approximation methods; approximation of spectrum and pseudospectra.