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- Dongbin Xiu, Jan S. Hesthaven
- SIAM J. Scientific Computing
- 2005

Recently there has been a growing interest in designing efficient methods for the solution of ordinary/partial differential equations with random inputs. To this end, stochastic Galerkin methodsâ€¦ (More)

- Andreas KlÃ¶ckner, Timothy C. Warburton, Jeff Bridge, Jan S. Hesthaven
- J. Comput. Physics
- 2009

Discontinuous Galerkin (DG) methods for the numerical solution of partial differential equations have enjoyed considerable success because they are both flexible and robust: They allow arbitraryâ€¦ (More)

- Jan S. Hesthaven, David I. Gottlieb
- SIAM J. Scientific Computing
- 1996

The purpose of this paper is to present asymptotically stable open boundary conditions for the numerical approximation of the compressible Navier-Stokes equations in three spatial dimensions. Theâ€¦ (More)

- Jan S. Hesthaven
- 1998

The electrostatic interpretation of the Jacobiâ€“Gauss quadrature points is exploited to obtain interpolation points suitable for approximation of smooth functions defined on a simplex. Moreover,â€¦ (More)

Nodal High-Order Discontinuous Galerkin Methods for the Spherical Shallow Water Equations F. X. Giraldo,âˆ—,1 J. S. Hesthaven,â€ and T. Warburtonâ€¡ âˆ—Naval Research Laboratory, Monterey, California 93943;â€¦ (More)

- Q. Y. Chen, David I. Gottlieb, Jan S. Hesthaven
- SIAM J. Numerical Analysis
- 2005

We examine the merits of using prolate spheroidal wave functions (PSWFs) as basis functions when solving hyperbolic PDEs using pseudospectral methods. The relevant approximation theory is reviewedâ€¦ (More)

- Jan S. Hesthaven, Tim Warburton
- Philosophical transactions. Series Aâ€¦
- 2004

The Maxwell eigenvalue problem is known to pose difficulties for standard numerical methods, predominantly due to its large null space. As an alternative to the widespread use of Galerkinâ€¦ (More)

- M. Fares, Jan S. Hesthaven, Yvon Maday, Benjamin Stamm
- J. Comput. Physics
- 2011

We introduce the Reduced Basis Method (RBM) as an efficient tool for parametrized scattering problems in computational electromagnetics for problems where field solutions are computed using aâ€¦ (More)

- Jan S. Hesthaven, C. H. Teng
- SIAM J. Scientific Computing
- 2000

A framework for the construction of stable spectral methods on arbitrary domains with unstructured grids is presented. Although most of the developments are of a general nature, an emphasis is placedâ€¦ (More)

A spectral multidomain penalty method model has been developed for the simulation of high Reynolds number localized stratified turbulence. This is the first time that a penalty method, with aâ€¦ (More)