People

Jan Hesthaven

Full Professor of Applied Mathematics


MCSS  Chair of Computational Mathematics and Simulation Science

Building Math, Station 8, CH-1015  Lausanne, Switzerland


Research Interests

A unifying topic of my research activities has been the development, analysis, and application of high-order accurate methods for the solution of time-dependent partial differential equations with a particular emphasis on conservation laws. My research efforts, all motivated by applications, are centers on the numerical analysis of high-order methods, i.e., problems associated with accuracy, stability, efficient solvers, robustness etc. Beyond the focus on methods, areas of specific interest also absorbing boundary conditions, reduced models and uncertainty quantification.

Selected Publications

  •  J. S. Hesthaven, S. Gottlieb, and D. Gottlieb, 2007, Spectral Methods for Time-Dependent Problems. Cambridge Monographs on Applied and Computational Mathematics 21, Cambridge University Press, Cambridge, UK, 275 pages.
  • J.S. Hesthaven and T. Warburton, 2008, Nodal Discontinuous Galerkin Methods: Algorithms, Analysis and Applications. Springer Texts in Applied Mathematics 54, Springer Verlag, New York. XVI+500 pages.
  • D. Xiu and J.S. Hesthaven, 2005, High-Order Collocation Methods for Differential Equations with Random Inputs, SIAM J. Sci. Comput. 27, 1118-1139.
  • C. Chauviere, J.S. Hesthaven, and L. Lurati, 2006, Computational Modeling of Uncertainty in Time-Domain Electromagnetics, SIAM J. Sci. Comp. 28, 751-775.
  • A. Kloeckner, T. Warburton, J. Bridge, and J.S. Hesthaven, 2009, Nodal discontinuous Galerkin methods on graphics processors, J. Comput. Phys. 228, 7863-7882.
  • Z. Gao and J.S. Hesthaven, 2011, Efficient solution of ordinary differential equations with high-dimensional parametrized uncertainty, Comm. Comput. Phys. 10(2), 253-278.
  • J.S. Hesthaven, B. Stamm, S. Zhang, 2012, Certified reduced basis methods for the electric field integral equation, SIAM J. Sci. Comput. 34(3), A1777-A1799.

Education Profile

  • 07/1991 M.Sc. in Computational Physics, Institute of Mathematical Modeling, Technical University of Denmark, Copenhagen, DK. Thesis: Dynamics of Coherent Structures in the Hasegawa-Mima Equation.
  • 08/1995 Ph.D. in Applied Mathematics, Institute of Mathematical Modeling, Technical University of Denmark, Copenhagen, DK. Thesis: Numerical Studies of Unsteady Coherent Structures and Transport in Two-Dimensional Flows.
  • 11/2009 Dr.techn. in Numerical Analysis. Institute of Mathematical Modeling. Technical University of Denmark, Copenhagen, DK. Thesis: Nodal Discontinuous Element Methods: Formulations, Analysis, and Applications.

Professional Profile

  • Professor of Applied Mathematics
  • Director of Center for Computation and Visualization (CCV)
  • Deputy Director of Institute of Computational and Experimental Research in Mathematics (ICERM).

Scientific and Professional Memberships

  • Member of Scientific Committee of International Conference on Spectral and High-Order Methods (ICOSAHOM).
  • Member of Scientific Committee International Conference on Mathematical and Industrial Aspects of Wave Propagation (WAVES)
  • Section Editor, SIAM Journal of Scientific Computing (SISC).
  • Associate Editor, BIT Numerical Mathematics (BIT), Communications in Computational Physics (CiCP), Journal of Computational Physics (JCP), Journal of Scientific Computing (JSC), Mathematical Modelling and Numerical Analysis (M2AN).
  • Society of Industrial and Applied Mathematics (SIAM)
  • American Mathematical Society (AMS)

    Awards

    • NSF Postdoctoral Fellowship, Advanced Scientific Computing, National Science Foundation, 08/1995
    • Alfred P. Sloan Research Fellowship, Alfred P. Sloan Foundation, 09/2000
    • Manning Assistant Professorship, Brown University, 07/2001
    • NSF CAREER Award, Division of Mathematical Sciences, National Science Foundation, 03/2002
    • Listed in Marquis Who's Who in America, 2003-
    • Philip J. Bray Award for Teaching Excellence in the Physical Sciences for 2004-2005, Brown University, USA, 03/2004

    Affiliations

    • Director of Center for Computation and Visualization (CCV), Brown University. http://www.brown.edu/Departments/CCV/
    • Deputy Director of Institute of Computational and Experimental Research in Mathematics (ICERM), Brown University. http://icerm.brown.edu/
    • Adjunct Professor, Technical University of Denmark, Lyngby, Denmark. http://www.dtu.dk/