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Published papers

2013
K. Shahbazi, J.S. Hesthaven and X. Zhu, 2013, Multi-dimensional hybrid Fourier continuation-WENO solver for conservation laws, J. Comput. Phys. 253, 209-225.

W. Deng and J.S. Hesthaven, 2013,
Discontinuous Galerkin Methods for Fractional Diffusion Equations, M2AN 47(6), 1821-2843.
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2012

A.L. Tampos, J.E.C. Lope and J.S. Hesthaven, 2012, Accurate reconstruction of discontinuous functions using the singular Chebyshev-Pade method, IAENG Inter J. of Appl. Math 42(4), 242-249. [Certificate of Merit, World Congress of Engineering, 2012]

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.

A.C. Narayan and J.S. Hesthaven, 2012, A generalization of the Wiener rational basis functions on infinite intervals. Part II - Numerical Investigations, J. Comput. Appl. Math. 237(1) 18-34.

M. Ganesh, J.S. Hesthaven and B. Stamm, 2012,
A reduced basis method for electromagnetic scattering by multiple particles in three dimensions, J. Comput. Phys. 231(23), 7756-7779.

J. D. Brown, P. Diener, S. E. Field, J. S. Hesthaven, F. Herrmann, A. H. Mroue, O. Sarbach, E. Schnetter, M. Tiglio and M. Wagman, 2012, Numerical simulations with a first order BSSN formulation of Einstein’s field equations, Phys Rev D 85, 084004-084022.

Y. Chen, J.S. Hesthaven, Y. Maday, J. Rodriguez and X. Zhu, 2012,
Certified reduced methods for electromagnetic scattering and radar cross section prediction, Comput. Methods Appl. Mech. Engin., 233, 92-108.

A.C. Narayan, J.S. Hesthaven, 2012,
Computation of connection coefficients and measure modifications of orthogonal polynomials, BIT 52(2), 457-483.
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2011

K. Shahbazi, N. Albin, O. Bruno, and J.S. Hesthaven, 2011,
Multi-domain Fourier-Continuation/WENO hybrid solver for conservation laws, J. Comput. Phys. 230, 8779-8796.

S.E. Field, C.R. Galley, F. Herrmann, J.S. Hesthaven, E. Ochsner, and M. Tiglio, 2011,
Reduced basis catalogs for gravitational wave templates, Phys. Rev. Let. 106(22), 221102-221105.

A.C. Narayan and J.S. Hesthaven, 2011, A generalization of the Wiener rational basis functions on infinite intervals. Part I - Derivation and properties, Math. Comp. 80(275), 1557-1583.

A. Kloecker, T. Warburton, and J.S. Hesthaven, 2011, Viscous shock capturing in a time-explicit discontinuous Galerkin method, Math. Model. Nat. Phenom. 6(3), 57-83.

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.

A.R. Schiemenz, M.A. Hesse, and J.S. Hesthaven, 2011,
Modeling magma dynamics with a mixed Fourier collocation - discontinuous Galerkin method, Comm. Comput. Phys. 10(2), 433-452.

B. Fares, J.S. Hesthaven, Y. Maday, and B. Stamm, 2011,
The reduced basis method for the electric field integral equation, J. Comput. Phys. 230(14), 5532-5555.

M. Liu, Z. Gao and J.S. Hesthaven, 2011,
Adaptive sparse grid algorithms with applications to electromagnetics scattering under uncertainty, Appl. Numer. Math. 61(1), 24-37.
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2010

S.E. Field, J.S. Hesthaven, S.R. Lau, and A.H. Mroue, 2010,
Discontinuous Galerkin method for the spherically reduced Baumgarten-Shapiro-Shibata-Nakamura system with second order operators, Phys. Rev. D 82, 104051-104072.

S. Field, J.S. Hesthaven, and S.R. Lau, 2010,
Persistent junk solutions in time-domain modeling of extreme mass ratio binaries, Phys. Rev. D 81(12), 124030-124043.

Z. Gao and J.S. Hesthaven, 2010,
On ANOVA expansions and strategies for choosing the anchor point, Appl. Math. and Comp. 217, 3274-3285.

Y. Liang, A. Schiemenz, M.A. Hesse, E.M. Parmentier, and J.S. Hesthaven, 2010,
High-porosity channels for melt-migration in the mantle: Top is the dunite and bottom is the harzburgite, Geophys. Res. Lett. 37, L15306, p. 1-5.

Y. Chen, J.S. Hesthaven, Y. Maday, and J. Rodriguez, 2010,
Certified reduced basis methods and output bounds for the harmonic Maxwell's equations, SIAM J. Sci. Comp. 32, 970-996.

D.B.P. Huynh, D.J. Knezevic, Y. Chen, J.S. Hesthaven, and A.T. Patera, 2010,
A natural-norm successive constraint method for inf-sup lower bounds, Comput. Methods Appl. Mech. Engin. 199(29-33), 1963-1975.

S. Chun, H. Haddar, and J. S. Hesthaven, 2010, High-order accurate thin layer approximations for time-domain electromagnetics. Part II: Transmission layers, J. Comp. Appl. Math. 234(8), 2587-2608.
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2009

J.S. Hesthaven, S. Lau, and H. Pfieffer, 2009, IMEX Evolution of Scalar Fields on Curved Backgrounds, Comm. Comput. Phys. 6, 997-1021.

Y. Chen, J.S. Hesthaven, Y. Maday, and J. Rodriguez, 2009, Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell's problem, M2AN 43(6), 1099-1116.

G. Jacobs and J.S. Hesthaven, 2009, Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning, Comput. Phys. Comm. 180, 1760-1767.

A. Kloeckner, T. Warburton, J. Bridge, and J.S. Hesthaven, 2009,
Nodal discontinuous Galerkin methods on graphics processors, J. Comput. Phys. 228, 7863-7882.

S.E. Field, J.S. Hesthaven, and S.R. Lau, 2009, Discontinuous Galerkin method for computing gravitational waveforms for extreme mass ratio binaries, Classical and Quantum Gravity 26, 165010-165038.

S. Chun and J. S. Hesthaven, 2009, High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings, J. Comp. Appl. Math. 231, 598-611.

H. Bagci, A.C. Yucel, J.S. Hesthaven, and E. Michielssen, 2009,
A Fast Stroud-based Collocation Method for Statistically Characterizing EMI/EMC Phenomena on Complex Platforms, IEEE Trans. EMC 51(2), 301-311.

Y. Chen, J.S. Hesthaven, Y. Maday, and J. Rodriguez, 2009,
A Monotonic Evaluation of Lower Bounds for inf-sup Stability Constants in the Frame of Reduced Basis Methods, C.R. Acad. Sci.Paris, Ser I 346, 1295-1300.

G. J. Gassner, F. Lorcher, C.-D. Munz, and J. S. Hesthaven, 2009, Polymorphic Nodal Elements and their Application in Discontinuous Galerkin Methods, J. Comput. Phys. 228, 1573-1590.
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2008

A.P. Engsig-Karup, J.S. Hesthaven, H.B. Bingham, and T Warburton, 2008, DG-FEM Solution for Nonlinear Wave-Structure Interaction using Boussinesq-type Equations, Costal Engin. 55, 197-208.

E. Brodal, J. S. Hesthaven, and F. Melandsoe, 2008, Numerical Modeling of Double-Layered Piezoelectric Transducer Systems Using a High-Order Discontinuous Galerkin Method, Comp. Struct. 86, 1747-1756.

J. S. Hesthaven and R. M. Kirby, 2008, Filtering in Legendre Spectral Methods, Math. Comp. 77(263), 1425-1452. [Abstract]

S. Chun and J.S. Hesthaven, 2008, PDE Constrained Optimization and Design of Frozen Mode Crystals, Comm. Comput. Phys. 3(4), 878-898.
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2007

S. Chun and J.S. Hesthaven, 2007, Modeling of the Frozen Mode Phenomenon and its Sensitivity using Discontinuous Galerkin Methods, Commu. Comput. Phys. 2(4), 611-639.

L.N. Olson, J.S. Hesthaven, and L.C. Wilcox, 2007, Developments in Overlapping High-Order Nodal Discontinuous Galerkin Methods, Lect. Notes Comput. Sci. Eng. 55, 325-332.

A. Kanevsky, M.H. Carpenter, D. Gottlieb, and J.S. Hesthaven, 2007, Application of implicit-explicit high-order Runge-Kutta Methods to Discontinuous Galerkin Schemes, J. Comput. Phys. 225(2), 1753-1781.

C. Chauviere, J.S. Hesthaven, and L. Wilcox, 2007, Efficient Computation of RCS from Scatterers of Uncertain Shapes, IEEE Trans. Antennas Propagat. 55(5), 1437-1448.

H. Salman, J.S. Hesthaven, T. Warburton, and G. Haller, 2007, Predicting Transport by Lagrangian Coherent Structures with a High Order Method, J. Theo. Comput. Fluid Dyn. 21(1), 39-58.
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2006

A.P. Engsig-Karup, J. S. Hesthaven, H. Bingham, and P. Madsen, 2006, Nodal DG-FEM Solution of High Order Boussinesq-Type Equations, J. Engin. Math. 56(3), 351-370.

A. Kanevsky, M. Carpenter, and J. S. Hesthaven, 2006, Idempotent Filtering in Spectral and Spectral Element Methods, J. Comput. Phys. 220(1), 41-58.

J. S. Hesthaven, S.M. Kaber, and L. Lurati, 2006, Pade-Legendre Interpolants for Gibbs Reconstruction, J. Sci. Comput. 28(2-3), 337-359.

S. Abarbanel, D. Gottlieb, and J. S. Hesthaven, 2006,
Nonlinear PML for Electromagnetics, J. Sci. Comput. 28(2-3), 125-137.

M.S. Kilic, G.B. Jacobs, J.S. Hesthaven, and G. Haller, 2006, Reduced Navier-Stokes Equations Near a Flow Boundary, Physica D 217, 161-185.

C. Chauviere, J.S. Hesthaven, and L. Lurati, 2006, Computational Modeling of Uncertainty in Time-Domain Electromagnetics, SIAM J. Sci. Comp. 28, 751-775.

J. Grooss and J.S. Hesthaven, 2006, A Levelset Discontinuous Galerkin Method for Free Surface Flows, Comput. Methods Appl. Mech Engrg. 195, 3406-3429.

G. Jacobs and J.S. Hesthaven, 2006, High-Order Nodal Discontinuous Galerkin Particle-in-Cell Methods on Unstructured Grids, J. Comput. Phys. 214, 96-121.
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2005

D. Xiu and J.S. Hesthaven, 2005, High-Order Collocation Methods for Differential Equations with Random Inputs, SIAM J. Sci. Comput. 27, 1118-1139.

Q. Y. Chen, D. Gottlieb, and J. S. Hesthaven, 2005,
Pseudospectral Methods using Prolate Spheroidal Wavefunctions, SIAM J. Numer. Anal. 43, 1912-1933.

R. Horvath, L.C. Wilcox, H.C. Pedersen, N. Skiversen, J.S. Hesthaven and P.M. Johansen, 2005, Analytical Theory of Grating Couplers for Waveguide Sensing: A Perturbational Approach and its Limitations, Appl. Phys. B: Lasers and Optics 81, 65-73.

Q. Y. Chen, D. Gottlieb, and J. S. Hesthaven, 2005, Uncertainty Analysis for Steady-State Inviscid Burgers Equation, J. Comput. Phys. 204, 378-398.
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2004

L. Wilcox, P. G. Dinesen, and J. S. Hesthaven, 2004, Fast and Accurate Boundary Variation Method for Multilayered Diffraction Optics, J. Opt. Soc. Ame. A 21(5), 757-769.

J. S. Hesthaven and T. Warburton, 2004, High-Order Accurate Methods for Time-domain Electromagnetics, Comp. Mod. Engin. Sci. 5(5), 395-408.

J.S. Hesthaven and T. Warburton, 2004, High Order Nodal Discontinuous Galerkin Methods for the Maxwell Eigenvalue Problem, Royal Soc. London Ser A 362, 493-524.

P.J. Diamessis, J.A. Domaradzki, and J.S. Hesthaven, 2004,
A Spectral Multidomain Penalty Method Model for the Simulation of High Reynolds Number Localized Incompressible Stratified Turbulence, J. Comput. Phys 202, 298-322.

J. S. Hesthaven and T. Warburton, 2004, Discontinuous Galerkin Methods for the Time-Domain Maxwell's Equations: An Introduction, ACES Newsletter 19(1), 10-29.
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2003

T. Warburton and J. S. Hesthaven, 2003, On the Constants in hp-Finite Element Trace Inequalities, Comput. Methods Appl. Mech. Engin. 192, 2765-2773.
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2002

G. X. Fan, Q. H. Liu, and J. S. Hesthaven, 2002, Multi-Domain Pseudospectral Time-Domain Simulations of Scattering by Objects Buried in Lossy Media, IEEE Trans. Geosci. Remote Sens. 40(6), 1366-1373.

J. S. Hesthaven and T. Warburton, 2002, High-Order Nodal Methods on Unstructured Grids. I. Time-Domain Solution of Maxwell's Equations, J. Comput. Phys. 181(1), 186-221.

F. X. Giraldo, J. S. Hesthaven, and T. Warburton, 2002,
Nodal High-Order Discontinuous Galerkin Method for the Spherical Shallow Water Equations, J. Comput. Phys. 181(2), 499-525.

S. A. Nielsen, J. S. Hesthaven, 2002, A Multi-Domain Chebyshev Collocation Method for Predicting Ultrasonic Field Parameters in Complex Material Geometries, Ultrasonics 40(1-8), 177-180.

S. Abarbanel, D. Gottlieb, and J. S. Hesthaven, 2002, Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics, J. Sci. Comput. 17(1-4), 405-422.
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2001

P. Dinesen and J. S. Hesthaven, 2001, Fast And Accurate Modeling of Waveguide Grating Couplers. II. The Three-Dimensional Vectorial Case, J. Opt. Soc. Am. A 18(11), 2876-2885.

A. Ditkowski, K. H. Dridi, and J. S. Hesthaven, 2001, Convergent Cartesian Grid Methods for Maxwells Equations in Complex Geometries, J. Comput. Phys. 170, 39-80.

I. Fatkullin and J. S. Hesthaven, 2001,
Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems, J. Sci. Comput.16(1), 47-67.

K. H. Dridi, J. S. Hesthaven, and A. Ditkowski, 2001, Staircase Free Finite-Difference Time-Domain Formulation for General Materials in Complex Geometries, IEEE Trans. Antennas Propaga. 49(5), 749-756.

D. Gottlieb and J. S. Hesthaven, 2001, Spectral Methods for Hyperbolic Problems, J. Comput. Appl. Math. 128(1-2), 83-131.
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2000
V. Zharnitsky, E. Grenier, S. K. Turitsyn, C. K. R. T. Jones, and J. S. Hesthaven, 2000, Ground States of Dispersion Managed NLS, Phys. Rev. E. 62(5), 7358-7364.

T. Warburton, L. Pavarino, and J. S. Hesthaven, 2000, A Pseudospectral Scheme for Incompressible Navier-Stokes using Unstructured Nodal Elements, J. Comput. Phys. 164(1), 1-21.

J. S. Hesthaven and C. H. Teng, 2000, Stable Spectral Methods on Tetrahedral Elements, SIAM J. Sci. Comput. 21(6), 2352-2380.

P. G. Dinesen and J. S. Hesthaven, 2000,
Fast and Accurate Modeling of Waveguide Grating Couplers , J. Opt. Soc. Ame. A 17(9), 1565-1572.

J. S. Hesthaven, 2000, Spectral Penalty Methods, Appl. Numer. Math. 33(1-4), 23-41.

B. Yang and J. S. Hesthaven, 2000, Multidomain Pseudospectral Computation of Maxwell's Equations in 3-D General Curvilinear Coordinates, Appl. Numer. Math. 33(1-4), 281-289.

P. G. Dinesen, J. S. Hesthaven and J. P. Lynov, 2000, A Pseudospectral Collocation Time-Domain Method for Diffractive Optics, Appl. Numer. Math. 33(1-4), 199-206.
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1999

J. S. Hesthaven, P. G. Dinesen and J. P. Lynov, 1999, Spectral Collocation Time-Domain Modeling of Diffractive Optical Elements, J. Comput. Phys. 155(1), 287-306.

S. Abarbanel, D. Gottlieb and J. S. Hesthaven, 1999,
Wellposed Perfectly Matched Layers for Advective Acoustics, J. Comput. Phys 154(2), 266-283.

J. S. Hesthaven and D. Gottlieb, 1999,
Stable Spectral Methods for Conservation Laws on Triangles with Unstructured Grids, Comput. Methods Appl. Mech. Engin. 175, 361-381.

P. G. Dinesen, J. S. Hesthaven, J. P. Lynov and L. Lading, 1999, Pseudospectral Method for the Analysis of Diffractive Optical Elements, J. Opt. Soc. Am. A 16(5), 1124-1130.

B. Yang and J. S. Hesthaven, 1999, A Pseudospectral Method for Time-Domain Computation of Electromagnetic Scattering by Bodies of Revolution, IEEE Trans. Antennas Propaga. 47(1), 132-141.

J. S. Hesthaven, 1999, A Stable Penalty Method for the Compressible Navier-Stokes Equations. III. Multi Dimensional Domain Decomposition Schemes, SIAM J. Sci. Comp. 20(1), 62-93.
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1998
J. S. Hesthaven and L. Jameson, 1998, A Wavelet Optimized Adaptive Multi-Domain Method, J. Comput. Phys. 145, 280-296.

J. S. Hesthaven, 1998, On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations, J. Comput. Phys. 142, 129-147.

J. S. Hesthaven, 1998,
Integration Preconditioning of Pseudospectral Operators. I. Basic Linear Operators, SIAM J. Numer. Anal. 35(2), 1571-1593.

J. S. Hesthaven, 1998,
From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex, SIAM J. Numer. Anal. 35(2), 655-676.
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1997
J. S. Hesthaven, J. Juul Rasmussen, L. Berge and J. Wyller, 1997, Numerical studies of localized wave fields govenered by the Raman-extended derivative nonlinear Schrodinger equation, J. Phys. A: Math. Gen. 30, 8207-8224.

B. Yang, D. Gottlieb and J. S. Hesthaven, 1997, Spectral Simulation of Electromagnetic Wave Scattering, J. Comput. Phys. 134(2), 216-230.

J. S. Hesthaven, 1997, A Stable Penalty Method for the Compressible Navier-Stokes Equations. II. One-Dimensional Domain Decomposition Schemes, SIAM J. Sci. Comp. 18(3), 658-685.
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1996
J. S. Hesthaven and D. Gottlieb, 1996, A Stable Penalty Method for the Compressible Navier-Stokes Equations. I. Open Boundary Conditions, SIAM J. Sci. Comp. 17(3), 579-612.

J. Juul Rasmussen, J. S. Hesthaven, J. P. Lynov, A. H. Nielsen and M. R. Schmidt, 1996,
Dipolar Vortices in Two-Dimensional Flows, Math. Comp. Simu., 40, 207-221.
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1995

J. S. Hesthaven, J. P. Lynov, A. H. Nielsen, J. Juul Rasmussen, M.R. Schmidt, E.G. Shapiro and S.K. Turitsyn, 1995, Dynamics of a Non-Linear Dipole Vortex, Phys. Fluids A 7(9), 2220-2229.

J. S. Hesthaven, A. H. Nielsen, H. L. Pecseli and J. Juul Rasmussen, 1995, The Eulerian-Lagrangian Transformation in Two-Dimensional Random Flows, J. Atmos. Terres. Phys. 57(3), 215-223.
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1994

J. Juul Rasmussen, J. P. Lynov, J. S. Hesthaven and G. G. Sutyrin, 1994, Vortex Dynamics in Plasmas and Fluids, Plasma Phys. Control. Fusion 36, B193-B202.

G. G. Sutyrin, J. S. Hesthaven, J. P. Lynov and J. Juul Rasmussen, 1994, Dynamical Properties of Vortical Structures on the Beta-Plane, J. Fluid Mech. 268, 303-331.
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1993

J. S. Hesthaven, J. P. Lynov, J. Juul Rasmussen and G. G. Sutyrin, 1993, Generation of Tri-Polar Vortices on the Beta-Plane, Phys. Fluids A 5(7), 1674-1678.

J. S. Hesthaven, J. Nycander and J. P. Lynov, 1993, Dynamics of Non-Stationary Dipole Vortices, Phys. Fluids A 5(3), 622-629.
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1992

J. Du Croz, J. S. Hesthaven and J. Wasniewski, 1992, Comparison of Two FFT Libraries on the Amdahl/Fujitsu VP Computer - NAG and Siemens Libraries, Supercomputer 51, 4-10.