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Recent lectures

In the following are listed recent lectures and educational material. All material on the page is copyright to me so if you use all or parts of it, please use it with appropriate reference to the source.

2013 Invited lecture at SIAM Computational Science and Engineering Conference, 2013

2010 Lecture series on
Uncertainty Quantification in Computational Science, Technical University of Denmark, Denmark
  • Introduction to UQ: Motivation, terminology, background, Wiener chaos expansions Lecture 1
  • Stochastic Galerkin methods: Formulation, extensions, polynomial chaos Lecture 2
  • Stochastic Collocation methods: Motivation, formulation, KL-expansions, high-d integrations Lecture 3
  • Extensions, challenges and open questions: Geometric uncertainty, ANOVA expansions etc Lecture 4

2010 PhD-Course on
Discontinous Galerkin Methods for Partial Differential Equations, Santiago de Compostela, Spain.

2009 PhD-Course on
Introduction to Discontinuous Galerkin Methods for Partial Differential Equations, Denmark
Lecture notes and additional material are available at the Course Webpage

2009 International Conference on Spectral and Higher Order Methods, Trondheim, Norway

  • Nodal discontinuous Galerkin methods on graphics processing units (GPU’s): Lecture
  • Generalized Wiener rational functions: Lecture
  • Certified reduced basis methods for Maxwell’s equations: Lecture
2008 Rocky Mountain Mathematics Consortium Summer School Lectures: Discontinuous Galerkin Methods.
2006 CEA-EDF-INRIA Winterschool: Discontinuous Galerkin Methods for Wave Problems.