Approximation and stability

Additional Info

  • ECTS credits: 6
  • University: Hamburg University of Technology
  • Semester: 2
  • 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.

  • 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.

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