JournalsowrVol. 9 / No. 1DOI 10.4171/owr/2012/05

Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws and their Use in Science and Engineering

  • Rainer Ansorge

    Universität Hamburg, Germany
  • Hester Bijl

    Delft University of Technology, Netherlands
  • Andreas Meister

    Universität Kassel, Germany
  • Thomas Sonar

    Technische Universität Braunschweig, Germany
Recent Developments in the Numerics of Nonlinear Hyperbolic Conservation Laws and their Use in Science and Engineering cover

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Abstract

Modern numerical methods for hyperbolic conservation laws rely on polynomials of high degree, mostly orthogonal polynomials, on triangular or quadrilateral meshes. Due to shocks stability is an issue and modern means of filtering like spectral viscosity is required. Additional TV-filters are needed in most cases as postprocessors and the choice of the solver for the differential equations to integrate in time is crucial. The workshop was organised to bring together researchers from different areas of mathematics in order to fuel the research on high-order efficient and robust numerical methods.