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Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications
- J. Hesthaven, T. Warburton
- Computer Science
- 18 December 2007
The text offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential…
Foreword
- J. Hesthaven, Einar M. Rønquist
- EducationBiological Psychiatry
- 15 April 1999
High-Order Collocation Methods for Differential Equations with Random Inputs
- D. Xiu, J. Hesthaven
- Computer ScienceSIAM J. Sci. Comput.
- 1 October 2005
TLDR
Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations
- J. Hesthaven, A. Patera
- Computer Science
- 2007
The text is focused on formulation, analysis, and computational procedures for reduced basis approximation and a posteriori error estimation for parametrized PDEs in the real-time and many-query…
SPECTRAL METHODS FOR TIME-DEPENDENT PROBLEMS.
- J. Hesthaven, S. Gottlieb, D. Gottlieb
- Business
- 11 January 2007
TLDR
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- J. Hesthaven, G. Rozza, B. Stamm
- Mathematics
- 20 August 2015
This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from…
Nodal discontinuous Galerkin methods on graphics processors
- A. Klöckner, T. Warburton, J. Bridge, J. Hesthaven
- Computer ScienceJ. Comput. Phys.
- 8 January 2009
Nodal high-order methods on unstructured grids
- J. Hesthaven, T. Warburton
- Computer Science, Mathematics
- 1 September 2002
TLDR
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
- F. Giraldo, J. Hesthaven, T. Warburton
- Mathematics
- 20 September 2002
We present a high-order discontinuous Galerkin method for the solution of the shallow water equations on the sphere. To overcome well-known problems with polar singularities, we consider the shallow…
Spectral methods for hyperbolic problems
- D. Gottlieb, J. Hesthaven
- Mathematics
- 1 March 2001
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