Publications

Recent manuscripts

MATHICSE Technical Report: Constraint-Aware Neural Networks for Riemann Problems

J. Magiera; D. Ray; J. S. Hesthaven; C. Rohde 

2019-04-28

MATHICSE Technical Report: Time domain room acoustic simulations using a spectral element method

F. Pind; A. P. Engsig-Karup; C-H. Jeong; J. S. Hesthaven; M. S. Meiling et al. 

2019-04-28

MATHICSE Technical Report: Simulation-Based Anomaly Detection and Damage Localization: an Application to Structural Health Monitoring

C. Bigoni; J. S. Hesthaven 

2019-04-10

MATHICSE Technical Report: A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems

M. Kast; M. Guo; J. S. Hesthaven 

2019-04-10

MATHICSE Technical Report: Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial\ viscosity tuned by neural networks

N. Discacciati; J. S. Hesthaven; D. Ray 

2019-01-28

Comparative study between Cubic and Ellipsoidal Fokker-Planck kinetic models

E. Jun; M. Pfeiffer; L. Mieussens; M. Gorji 

AIAA Journal. 2019. DOI : 10.2514/1.J057935.

Accurate particle time integration for solving Vlasov-Fokker-Planck equations with specified electromagnetic fields

P. Jenny; M. Gorji 

Journal of Computational Physics. 2019. DOI : 10.1016/j.jcp.2019.02.040.

Projective multiscale time-integration for electrostatic particle-in-cell methods

P. Cazeaux; J. S. Hesthaven 

Computer Physics Communications. 2019. DOI : 10.1016/j.cpc.2018.10.012.

RBF Based CWENO Method

J. S. Hesthaven; F. Mönkeberg; S. Zaninelli 

2018-11-09. ICOSAHOM 2018, London, UK,

Model order reduction for large-scale structures with local nonlinearities

Z. Zhang; M. Guo; J. S. Hesthaven 

2018-11-09. 

Detecting troubled-cells on two-dimensional unstructured grids using a neural network

D. Ray; J. S. Hesthaven 

2018-11-01. 

Data-driven reduced order modeling for time-dependent problems

M. Guo; J. S. Hesthaven 

Computer Methods in Applied Mechanics and Engineering. 2018-10. DOI : 10.1016/j.cma.2018.10.029.

Entropy stable essentially non-oscillatory methods based on RBF reconstructions

J. S. Hesthaven; F. Mönkeberg 

Mathematical Modeling and Numerical Analysis. 2018-08-14. 

Validation study of static and dynamic tsunami source models using the discontinuous Galerkin method for the spherical shallow water equations

M. Hajihassanpour; B. Bonev; J. S. Hesthaven 

2018-08-11. 

Conservative Model Order Reduction for Fluid Flow

B. Maboudi Afkham; N. Ripamonti; Q. Wang; J. S. Hesthaven 

Advances in reduced order modeling; Springer Verlag, 2018-08-06.

Greedy Non-Intrusive Reduced Order Model for Fluid Dynamics

W. Chen; J. S. Hesthaven; B. Junqiang; Y. Qiu; Y. Tihao et al. 

AIAA Journal. 2018-06-24. DOI : 10.2514/1.J056161.

Estimation of groundwater storage from seismic data using deep learning

T. Lahivaara; A. Pasanen; L. Karkkainen; J. M. Huttunen; J. S. Hesthaven et al. 

Geophysics Research Letters. 2018-06-24. 

A data-driven shock capturing approach for discontinuous Galekin methods

J. Yu; J. S. Hesthaven; C. Yan 

2018-06-18. 

Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem

Q. Wang; J. S. Hesthaven; D. Ray 

Journal of Computational Physics. 2018-06-18. DOI : 10.1016/j.jcp.2019.01.031.

POD-Kriging reduced method’s application in Tandem Cylinders’ flow

W. Chen; B. Junqiang; J. S. Hesthaven; Q. Yasong; Q. Lei et al. 

Journal of Northwestern Polytechnical University. 2018-06-01. 

Controlling oscillations in high-order schemes using neural networks

N. Discacciati 

2018.

Treatment of long-range interactions arising in the Enskog-Vlasov description of dense fluids

M. Gorji 

Journal of Computational Physics. 2018. 

Scaling and Resilience in Numerical Algorithms for Exascale Computing

A. S. Nielsen / J. S. Hesthaven (Dir.)  

Lausanne: EPFL, 2018. DOI : 10.5075/epfl-thesis-8926.

Geometric Model Order Reduction

B. Maboudi Afkham / J. S. Hesthaven (Dir.)  

Lausanne: EPFL, 2018. DOI : 10.5075/epfl-thesis-8923.

Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure

J. S. Hesthaven; C. Pagliantini 

Foundations of Computational Mathematics. 2018. 

A nodal discontinuous Galerkin finite element method for the poroelastic wave equation

K. Shukla; J. S. Hesthaven; J. M. Carcione; R. Ye; J. de la Puenta et al. 

Computational Geoscience. 2018. DOI : 10.1007/s10596-019-9809-1.

Logarithmic Gradient Transformation and Chaos Expansion of Ito Processes

M. H. Gorji 

2018. 

Discontinuous Galerkin Discretizations of the Boltzmann Equations in 2D: semi-analytic time stepping and absorbing boundary layers

A. Karakus; N. Chalmers; J. S. Hesthaven; T. Warburton 

2018. DOI : 10.1016/j.jcp.2019.03.050.

Symplectic Model-Reduction with a Weighted Inner Product

B. Maboudi Afkham; A. Bhatt; B. Haasdonk; J. S. Hesthaven 

SIAM Journal of Scientific Computing. 2018. 

Flowfield Reconstruction Method Using Artificial Neural Network

J. Yu; J. S. Hesthaven 

AIAA Journal. 2018. DOI : 10.2514/1.J057108.

Reduced order modeling for nonlinear structural analysis using Gaussian process regression

M. Guo; J. S. Hesthaven 

Computer Methods in Applied Mechanics and Engineering. 2018. DOI : 10.1016/j.cma.2018.07.017.

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction

B. Bonev; J. S. Hesthaven; F. X. Giraldo; M. A. Kopera 

Journal of Computational Physics. 2018. DOI : 10.1016/j.jcp.2018.02.008.

An artificial neural network as a troubled-cell indicator

D. Ray; J. S. Hesthaven 

Journal of computational physics. 2018. DOI : 10.1016/j.jcp.2018.04.029.

Non-intrusive reduced order modeling of nonlinear problems using neural networks

J. S. Hesthaven; S. Ubbiali 

Journal of Computational Physics. 2018. DOI : 10.1016/j.jcp.2018.02.037.

Deep convolutional neural networks for estimating porous material parameters with ultrasound tomography

T. Lahivaara; L. Karkkainen; J. M. Huttunen; J. S. Hesthaven 

Journal of the Acoustical Society of America. 2018. DOI : 10.1121/1.5024341.

Research and Education in Computational Science and Engineering

U. Ruede; K. Willcox; L. C. McInnes; H. De Sterck; G. Biros et al. 

Siam Review. 2018. DOI : 10.1137/16M1096840.

Numerical methods for conservation laws: From analysis to algorithms

J. S. Hesthaven 

Philadelphia: SIAM Publishing, 2017.

A comparative study of shock capturing models for the discontinuous Galerkin method

J. Yu; J. S. Hesthaven 

Journal of Computational Physics. 2017. 

Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations

P. Gatto; J. S. Hesthaven 

Journal Of Scientific Computing. 2017. DOI : 10.1007/s10915-016-0347-x.

Large-Scale Tsunami Simulations using the Discontinuous Galerkin Method

B. Bonev; F. Giraldo; J. S. Hesthaven 

27th Biennial Conference on Numerical Analysis, Glasgow, UK, June 27-30, 2017.

Communication-aware adaptive parareal with application to a nonlinear hyperbolic system of partial dierential equations

A. S. Nielsen; G. Brunner; J. S. Hesthaven 

Journal of Computational Physics. 2017. DOI : 10.1016/j.jcp.2018.04.056.

Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

B. Maboudi Afkham; J. S. Hesthaven 

Journal of Scientific Computing. 2017. 

A greedy non-intrusive reduced order model for fluid dynamics

W. Chen; J. S. Hesthaven; B. Junqiang; Z. Yang; Y. Tihao 

Journal of Northwestern Polytechnical University. 2017. 

High-Order Accurate Local Schemes for Fractional Differential Equations

D. Baffet; J. S. Hesthaven 

Journal Of Scientific Computing. 2017. DOI : 10.1007/s10915-015-0089-1.

Identification of a Predator-Prey System from Simulation Data of a Convection Model

M. Dam; M. Brøns; J. J. Rasmussen; V. Naulin; J. S. Hesthaven 

Physics of Plasmas. 2017. DOI : 10.1063/1.4977057.

Efficient preconditioning of hp-FEM matrices arising from time-varying problems: an application to topology optimization

P. Gatto; J. S. Hesthaven; R. Christiansen 

Computer Methods in Applied Mechanics and Engineering. 2017. DOI : 10.1016/j.cma.2017.04.027.

Adaptive WENO methods based on radial basis functions reconstruction

C. Bigoni; J. S. Hesthaven 

Journal of Scientific Computing. 2017. DOI : 10.1007/s10915-017-0383-1.

High-Order Accurate Adaptive Kernel Compression Time-Stepping Schemes for Fractional Differential Equations

D. H. Baffet; J. S. Hesthaven 

Journal of Scientific Computing. 2017. DOI : 10.1007/s10915-017-0393-z.

Structure preserving model reduction of parametric Hamiltonian systems

B. Maboudi Afkham; J. S. Hesthaven 

Siam Journal on Scientific Computing. 2017. DOI : 10.1137/17M1111991.

Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method

S. Yeganeh; R. Mokhtari; J. S. Hesthaven 

BIT Numerical Mathematics. 2017. DOI : 10.1007/s10543-017-0648-y.

A kernel compression scheme for fractional differential equations

D. H. Baffet; J. S. Hesthaven 

Siam Journal on Numerical Analysis. 2017. DOI : 10.1137/15M1043960.

Spectral Methods for Hyperbolic Problems

J. S. Hesthaven 

Handbook of Numerical Methods for Hyperbolic Problems Basic and Fundamental Issues; Elsevier Publishing, 2016. p. 441-466.

Spectral methods for tempered fractional differential equations

L. Zhao; W. Deng; J. S. Hesthaven 

Mathematics of Computation. 2016. 

Fault Tolerance in the Parareal Method

A. S. Nielsen; J. S. Hesthaven 

2016. ACM Workshop on Fault-Tolerance for HPC at Extreme Scale (FTXS). p. 1-8. DOI : 10.1145/2909428.2909431.

On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations

J. S. Hesthaven; S. Zhang 

Journal of Scientific Computing. 2016. DOI : 10.1007/s10915-016-0194-9.

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

J. S. Hesthaven; G. Rozza; B. Stamm 

Springer Verlag, 2015.

Hyperbolic Problems: Theory and Computation

J. S. Hesthaven; J-H. Jung; A. Tesdall 

Journal Of Scientific Computing. 2015. DOI : 10.1007/s10915-015-0065-9.

An Adjoint Approach for Stabilizing the Parareal Method

F. Chen; J. S. Hesthaven; Y. Maday; A. S. Nielsen 

Comptes rendus des séances de l'Académie des Sciences. Série A, Sciences mathématiques**. 2015. 

Special Issue on "Fractional PDEs: Theory, Numerics, and Applications"

G. E. Karniadakis; J. S. Hesthaven; I. Podlubny 

Journal Of Computational Physics. 2015. DOI : 10.1016/j.jcp.2015.04.007.

Accuracy of high order and spectral methods for hyperbolic conservation laws with discontinuous solutions

J. Zudrop; J. S. Hesthaven 

Siam Journal on Numerical Analysis. 2015. DOI : 10.1137/140992758.

Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes

L. Qiu; W. Deng; J. S. Hesthaven 

Journal of Computational Physics. 2015. DOI : 10.1016/j.jcp.2015.06.022.

Numerical approximation of the fractional Laplacian via hp-finite elements, with an application to image denoising

P. Gatto; J. S. Hesthaven 

Journal of Scientific Computing. 2015. DOI : 10.1007/s10915-014-9959-1.

A Parareal Method for Time-fractional Differential Equations

Q. Xu; J. S. Hesthaven; F. Chen 

Journal of Computational Physics. 2015. DOI : 10.1016/j.jcp.2014.11.034.

Local discontinuous Galerkin methods for fractional ordinary differential equations

W. Deng; J. S. Hesthaven 

Bit Numerical Mathematics. 2015. DOI : 10.1007/s10543-014-0531-z.

Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method

S. Tirupathi; J. S. Hesthaven; Y. Liang 

Communications in Computational Physics. 2015. DOI : 10.4208/cicp.090314.151214a.

Multilevel and Local Timestepping Discontinuous Galerkin Methods for Magma Dynamics

S. Tirupathi; J. S. Hesthaven; Y. Liang; M. Parmentier 

Computational Geosciences. 2015. DOI : 10.1007/s10596-015-9514-7.

Reduced basis multiscale finite element methods for elliptic problems

J. S. Hesthaven; S. Zhang; X. Zhu 

Multiscale Modeling and Simulation. 2015. DOI : 10.1137/120898024.

A Multi-domain Spectral Method for Time-fractional Differential Equations

F. Chen; Q. Xu; J. S. Hesthaven 

Journal of Computational Physics. 2015. DOI : 10.1016/j.jcp.2014.10.016.

On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method

F. Chen; J. S. Hesthaven; X. Zhu 

2014. Workshop on Reduced Basis, POD and Reduced Order Methods for Model and Computational Reduction: towards Real-time Computing and Visualization', Lausanne, CH, p. 187-214. DOI : 10.1007/978-3-319-02090-7_7.

Applications of Model Reduction Techniques in Aerospace Combustors

R. Munipalli; Z. Liu; X. Zhu; S. Menon; J. S. Hesthaven 

2014. AIAA Conference.

Time-domain finite element methods for Maxwell's equations in metamaterials

J. S. Hesthaven 

2014.

Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials

J. Li; J. S. Hesthaven 

Journal Of Computational Physics. 2014. DOI : 10.1016/j.jcp.2013.11.018.

Model Reduction Opportunities in Detailed Simulations of Combustion Dynamics

R. Munipalli; X. Zhu; S. Menon; J. S. Hesthaven 

Aiaa Journal. 2014. 

Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012

 

Switzerland: Springer Verlag, 2014.

Discontinuous Galerkin method for fractional convection-diffusion equations

Q. Xu; J. S. Hesthaven 

Siam Journal on Numerical Analysis. 2014. DOI : 10.1137/130918174.

High-order multiscale finite element method for elliptic problems

J. S. Hesthaven; S. Zhang; X. Zhu 

Multiscale Modeling and Simulation. 2014. DOI : 10.1137/120898024.

Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

J. S. Hesthaven; B. Stamm; S. Zhang 

Mathematical Modelling and Numerical Analysis. 2014. DOI : 10.1051/m2an/2013100.

Multiscale modeling of sound propagation through the lung parenchyma

P. Cazeaux; J. S. Hesthaven 

Mathematical Modelling and Numerical Analysis. 2014. DOI : 10.1051/m2an/2013093.

Stable multi-domain spectral penalty methods for fractional partial differential equations

Q. Xu; J. S. Hesthaven 

Journal of Computational Physics. 2014. DOI : 10.1016/j.jcp.2013.09.041.

Fast prediction and evaluation of gravitational waveforms using surrogate models

S. E. Field; C. R. Galley; J. S. Hesthaven; J. Kaye; M. Tiglio 

Physical Review X. 2014. DOI : 10.1103/PhysRevX.4.031006.

High-order accurate methods for solving Maxwell's equations: Applications to photonic crystals and thin layer coatings

S. Chun; J. S. Hesthaven 

Saarbrucken, Germany: Scholar-Press, 2013.

On the use of reduced basis methods to accelerate and stabilize the Parareal method

F. Chen; J. S. Hesthaven; X. Zhu 

Reduced Order Methods for modeling and computational reduction; Milano: Springer Publishing, 2013. p. 187-214.

Local discontinuous Galerkin methods for fractional diffusion equations

W. Deng; J. S. Hesthaven 

Mathematical Modelling and Numerical Analysis. 2013. DOI : 10.1051/m2an/2013091.

Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws

K. Shahbazi; J. S. Hesthaven; X. Zhu 

Journal of Computational Physics. 2013. DOI : 10.1016/j.jcp.2013.07.009.

A generalization of the Wiener rational basis functions on infinite intervals, Part II - Numerical investigation

A. C. Narayan; J. S. Hesthaven 

Journal of Computational and Applied Mathematics. 2013. DOI : 10.1016/j.cam.2012.06.036.

Spectral methods: algorithms, analysis and applications [book review of MR2867779]

J. S. Hesthaven 

2013.

High-Order Discontinuous Galerkin Methods by GPU Metaprogramming

A. Kloeckner; T. Warburton; J. S. Hesthaven 

GPU Solutions to Multi-scale Problems in Science and Engineering; Springer Verlag, 2012.

Special Issue in Memory of Professor David Gottlieb

 

France: SMAI Publications, 2012.

Solving Wave Equations on Unstructured Geometries

A. Klöckner; T. Warburton; J. S. Hesthaven 

GPU Computing Gems Jade Edition; Morgan Kaufmann, 2012. p. 225–242.

Accurate reconstruction of discontinuous functions using the singular pade-chebyshev method

A. L. Tampos; J. E. C. Lope; J. S. Hesthaven 

IAENG International Journal of Applied Mathematics. 2012. 

Computation of connection coefficients and measure modifications for orthogonal polynomials

A. Narayan; J. S. Hesthaven 

BIT Numerical Mathematics. 2012. DOI : 10.1007/s10543-011-0363-z.

Certified Reduced Basis Method for the Electric Field Integral Equation

J. S. Hesthaven; B. Stamm; S. Zhang 

SIAM Journal on Scientific Computing. 2012. DOI : 10.1137/110848268.

A reduced basis method for electromagnetic scattering by multiple particles in three dimensions

M. Ganesh; J. S. Hesthaven; B. Stamm 

Journal of Computational Physics. 2012. DOI : 10.1016/j.jcp.2012.07.008.

Certified reduced basis method for electromagnetic scattering and radar cross section estimation

Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez; X. Zhu 

Computer Methods in Applied Mechanics and Engineering. 2012. DOI : 10.1016/j.cma.2012.04.013.

Numerical simulations with a first-order BSSN formulation of Einstein's field equations

J. D. Brown; P. Diener; S. E. Field; J. S. Hesthaven; F. Herrmann et al. 

Physical Review D. 2012. DOI : 10.1103/PhysRevD.85.084004.

Spectral and High Order Methods for Partial Differential Equations : Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway

 

Heidelberg: Springer, 2011.

Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws

K. Shahbazi; N. Albin; O. P. Bruno; J. S. Hesthaven 

Journal of Computational Physics. 2011. DOI : 10.1016/j.jcp.2011.08.024.

Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

A. R. Schiemenz; M. A. Hesse; J. S. Hesthaven 

Communications in Computational Physics. 2011. DOI : 10.4208/cicp.030210.240910a.

A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties

A. C. Narayan; J. S. Hesthaven 

Mathematics of Computation. 2011. DOI : 10.1090/S0025-5718-2010-02437-8.

Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty

M. Liu; Z. Gao; J. S. Hesthaven 

Applied Numerical Mathematics. 2011. DOI : 10.1016/j.apnum.2010.08.002.

Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method

A. Kloeckner; T. Warburton; J. S. Hesthaven 

Mathematical Modelling of Natural Phenomena. 2011. DOI : 10.1051/mmnp/20116303.

Lecture Notes in Computational Science and Engineering: Foreword

J. S. Hesthaven; E. M. Rønquist 

Lecture Notes in Computational Science and Engineering. 2011. 

Efficient Solution of Ordinary Differential Equations with High-Dimensional Parametrized Uncertainty

Z. Gao; J. S. Hesthaven 

Communications in Computational Physics. 2011. DOI : 10.4208/cicp.090110.080910a.

Reduced Basis Catalogs for Gravitational Wave Templates

S. E. Field; C. R. Galley; F. Herrmann; J. S. Hesthaven; E. Ochsner et al. 

Physical Review Letters. 2011. DOI : 10.1103/PhysRevLett.106.221102.

The reduced basis method for the electric field integral equation

M. Fares; J. S. Hesthaven; Y. Maday; B. Stamm 

Journal of Computational Physics. 2011. DOI : 10.1016/j.jcp.2011.03.023.

A seamless reduced basis element method for 2D Maxwell's problem: An introduction

Y. Chen; J. S. Hesthaven; Y. Maday 

Lecture Notes in Computational Science and Engineering. 2011. DOI : 10.1007/978-3-642-15337-2_11.

High-porosity channels for melt migration in the mantle: Top is the dunite and bottom is the harzburgite and lherzolite

Y. Liang; A. Schiemenz; M. A. Hesse; E. M. Parmentier; J. S. Hesthaven 

Geophysical Research Letters. 2010. DOI : 10.1029/2010GL044162.

A natural-norm Successive Constraint Method for inf-sup lower bounds

D. B. P. Huynh; D. J. Knezevic; Y. Chen; J. S. Hesthaven; A. T. Patera 

Computer Methods in Applied Mechanics and Engineering. 2010. DOI : 10.1016/j.cma.2010.02.011.

High-Order Discontinuous Galerkin Methods for Computational Electromagnetics and Uncertainty Quantification

J. S. Hesthaven; T. Warburton; C. Chauviere; L. Wilcox 

2010. Scientific Computing in Electrical Engineering SCEE 2008, Heidelgbergerpaltz Platz 3, D-14197 Berlin, Germany, p. 403-412. DOI : 10.1007/978-3-642-12294-1_50.

On ANOVA expansions and strategies for choosing the anchor point

Z. Gao; J. S. Hesthaven 

Applied Mathematics and Computation. 2010. DOI : 10.1016/j.amc.2010.08.061.

Discontinuous Galerkin method for the spherically reduced Baumgarte-Shapiro-Shibata-Nakamura system with second-order operators

S. E. Field; J. S. Hesthaven; S. R. Lau; A. H. Mroue 

Physical Review D. 2010. DOI : 10.1103/PhysRevD.82.104051.

Persistent junk solutions in time-domain modeling of extreme mass ratio binaries

S. E. Field; J. S. Hesthaven; S. R. Lau 

Physical Review D. 2010. DOI : 10.1103/PhysRevD.81.124030.

High-order accurate thin layer approximations for time-domain electromagnetics, Part II: Transmission layers

S. Chun; H. Haddar; J. S. Hesthaven 

Journal of Computational and Applied Mathematics. 2010. DOI : 10.1016/j.cam.2010.03.022.

Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations

Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez 

SIAM Journal on Scientific Computing. 2010. DOI : 10.1137/09075250X.

Efficient RCS estimation of 2-dimensional cylinder with random holes

M. Liu; J. S. Hesthaven; S. Liu 

2009. Proceedings - 2009 3rd IEEE International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, MAPE 2009, Beijing, p. 616-618. DOI : 10.1109/MAPE.2009.5355570.

IMEX Evolution of Scalar Fields on Curved Backgrounds

S. R. Lau; H. P. Pfeiffer; J. S. Hesthaven 

Communications in Computational Physics. 2009. DOI : 10.4208/cicp.2009.v6.p1063.

Nodal discontinuous Galerkin methods on graphics processors

A. Kloeckner; T. Warburton; J. Bridge; J. S. Hesthaven 

Journal of Computational Physics. 2009. DOI : 10.1016/j.jcp.2009.06.041.

Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning

G. B. Jacobs; J. S. Hesthaven 

Computer Physics Communications. 2009. DOI : 10.1016/j.cpc.2009.05.020.

Polymorphic nodal elements and their application in discontinuous Galerkin methods

G. J. Gassner; F. Loercher; C-D. Munz; J. S. Hesthaven 

Journal of Computational Physics. 2009. DOI : 10.1016/j.jcp.2008.11.012.

Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries

S. E. Field; J. S. Hesthaven; S. R. Lau 

Classical and Quantum Gravity. 2009. DOI : 10.1088/0264-9381/26/16/165010.

High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings

S. Chun; J. S. Hesthaven 

Journal of Computational and Applied Mathematics. 2009. DOI : 10.1016/j.cam.2009.04.019.

Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell's problem

Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez 

ESAIM: Mathematical Modelling and Numerical Analysis. 2009. DOI : 10.1051/m2an/2009037.

A Fast Stroud-Based Collocation Method for Statistically Characterizing EMI/EMC Phenomena on Complex Platforms

H. Bagci; A. C. Yucel; J. S. Hesthaven; E. Michielssen 

IEEE Transactions on Electromagnetic Compatibility. 2009. DOI : 10.1109/TEMC.2009.2015056.

Biased liquid crystal photonic bandgap fiber

J. Weirich; J. Laegsgaard; T. T. Alkeskjold; J. S. Hesthaven; L. Scolari et al. 

2008. 2008 Conference on Quantum Electronics and Laser Science Conference on Lasers and Electro-Optics, CLEO/QELS, San Jose, CA, DOI : 10.1109/CLEO.2008.4551391.

Biased liquid crystal photonic bandgap fiber

J. Weirich; J. Laegsgaard; T. T. Alkeskjold; J. S. Hesthaven; L. Scolari et al. 

2008. Conference on Lasers and Electro-Optics, 2008 and 2008 Conference on Quantum Electronics and Laser Science. CLEO/QELS 2008, 345 E 47TH ST, NEW YORK, NY 10017 USA, p. 911-912.

Nodal discontinuous Galerkin methods: Algorithms, analysis and applications

J. S. Hesthaven; T. Warburton 

Springer, 2008.

Filtering in Legendre spectral methods

J. S. Hesthaven; R. M. Kirby 

Mathematics of Computation. 2008. DOI : 10.1090/S0025-5718-08-02110-8.

DG-FEM solution for nonlinear wave-structure interaction using Boussinesq-type equations

A. P. Engsig-Karup; J. S. Hesthaven; H. B. Bingham; T. Warburton 

Coastal Engineering. 2008. DOI : 10.1016/j.coastaleng.2007.09.005.

PDE constrained optimization and design of frozen mode crystals

S. Chun; J. S. Hesthaven 

Communications in Computational Physics. 2008. 

A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations

Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez 

Comptes rendus de mathematique de l'academie des sciences. 2008. DOI : 10.1016/j.crma.2008.10.012.

Numerical modeling of double-layered piezoelectric transducer systems using a high-order discontinuous Galerkin method

E. Brodal; J. S. Hesthaven; F. Melandso 

Computers & Structures. 2008. DOI : 10.1016/j.compstruc.2008.02.006.

A Fast and Parallel Stroud-Based Stochastic Collocation Method for Statistical EMI/EMC Analysis

H. Bagci; C. Yavuz; A. C. Yuecel; J. S. Hesthaven; E. Michielssen 

2008. 2008 IEEE International Symposium on Electromagnetic Compatibility (EMC), 345 E 47th St, NewYork,NY 10017 USA, p. 790-794.

Proceedings of the 7th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'05)

H. Haddar; J. S. Hesthaven 

2007. Waves 2005.

Predicting transport by Lagrangian coherent structures with a high-order method

H. Salman; J. S. Hesthaven; T. Warburton; G. Haller 

Theoretical and Computational Fluid Dynamics. 2007. DOI : 10.1007/s00162-006-0031-0.

Developments in overlapping Schwarz preconditioning of high-order nodal discontinuous Galerkin discretizations

L. N. Olson; J. S. Hesthaven; L. C. Wilcox 

Domain decomposition methods in science and engineering XVI; Springer, 2007. p. 325-332.

Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes

A. Kanevsky; M. H. Carpenter; D. Gottlieb; J. S. Hesthaven 

Journal of Computational Physics. 2007. DOI : 10.1016/j.jcp.2007.02.021.

Spectral methods for time-dependent problems

J. S. Hesthaven; S. Gottlieb; D. Gottlieb 

Cambridge University Press, 2007.

Modeling of the Frozen Mode Phenomenon and its Sensitivity Using Discontinuous Galerkin Methods

S. Chun; J. S. Hesthaven 

Communications in Computational Physics. 2007. 

Efficient computation of RCS from scatterers of uncertain shapes

C. Chauviere; J. S. Hesthaven; L. C. Wilcox 

IEEE Transactions on Antennas and Propagation. 2007. DOI : 10.1109/TAP.2007.895629.

Spectral Interpolation in Non-Orthogonal Domains: Algorithms and Applications

 

Springer Publishing, 2006.

Proceedings of the 6th International Conference on Spectral and High-Order Methods (ICOSAHOM'04)

D. Gottllieb; J. S. Hesthaven; G. Karniadakis; C-W. Shu 

2006. 6th International Conference on Spectral and High-Order Methods.

Reduced Navier-Stokes equations near a flow boundary

M. Kilic; G. Jacobs; J. S. Hesthaven; G. Haller 

Physica D. 2006. DOI : 10.1016/j.physd.2006.04.008.

Idempotent filtering in spectral and spectral element methods

A. Kanevsky; M. H. Carpenter; J. S. Hesthaven 

Journal of Computational Physics. 2006. DOI : 10.1016/j.jcp.2006.05.014.

Simulations of the weibel instability with a high-order discontinuous galerkin particle-in-cell solver

G. B. Jacobs; J. S. Hesthaven; G. Lapenta 

2006. 44th AIAA Aerospace Sciences Meeting, Reno, NV, p. 14189-14199.

High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids

G. Jacobs; J. S. Hesthaven 

Journal of Computational Physics. 2006. DOI : 10.1016/j.jcp.2005.09.008.

Pade-legendre interpolants for Gibbs reconstruction

J. S. Hesthaven; S. M. Kaber; L. Lurati 

Journal of Scientific Computing. 2006. DOI : 10.1007/s10915-006-9085-9.

A level set discontinuous Galerkin method for free surface flows

J. Grooss; J. S. Hesthaven 

Computer Methods in Applied Mechanics and Engineering. 2006. DOI : 10.1016/j.cma.2006.06.020.

Foreword

D. Gottlieb; J. S. Hesthaven; G. Karniadakis; C. Shu 

Journal of Scientific Computing. 2006. DOI : 10.1007/s10915-005-9061-9.

Nodal DG-FEM solution of high-order Boussinesq-type equations

A. P. Engsig-Karup; J. S. Hesthaven; H. B. Bingham; P. A. Madsen 

Journal of Engineering Mathematics. 2006. DOI : 10.1007/s10665-006-9064-z.

Computational modeling of uncertainty in time-domain electromagnetics

C. Chauviere; J. S. Hesthaven; L. Lurati 

SIAM Journal on Scientific Computing. 2006. DOI : 10.1137/040621673.

Non-linear PML equations for time dependent electromagnetics in three dimensions

S. Abarbanel; D. Gottlieb; J. S. Hesthaven 

Journal of Scientific Computing. 2006. DOI : 10.1007/s10915-006-9072-1.

Proceedings of AFOSR Workshop on Advances and Challenges in Time-Integration of PDE's

M. H. Carpenter; D. Gottlieb; J. S. Hesthaven; C-W. Shu 

2005. AFOSR Workshop on Advances and Challenges in Time-Integration of PDE's.

High-order collocation methods for differential equations with random inputs

D. Xiu; J. S. Hesthaven 

SIAM Journal on Scientific Computing. 2005. DOI : 10.1137/040615201.

Analytical and numerical study on grating depth effects in grating coupled waveguide sensors

R. Horvath; L. Wilcox; H. Pedersen; N. Skivesen; J. S. Hesthaven et al. 

Applied Physics B. 2005. DOI : 10.1007/s00340-005-1841-2.

A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence

P. Diamessis; J. Domaradzki; J. S. Hesthaven 

Journal of Computational Physics. 2005. DOI : 10.1016/j.jcp.2004.07.007.

Uncertainty analysis for the steady-state flows in a dual throat nozzle

Q. Chen; D. Gottlieb; J. S. Hesthaven 

Journal of Computational Physics. 2005. DOI : 10.1016/j.jcp.2004.10.019.

Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs

Q. Chen; D. Gottlieb; J. S. Hesthaven 

SIAM Journal on Numerical Analysis. 2005. DOI : 10.1137/S0036142903432425.

Computational modeling of uncertainty in time-domain electromagnetics

C. Chauvière; J. S. Hesthaven; L. Lurati 

2005. 2005 Workshop on Computational Electromagnetics in Time-Domain, CEM-TD 2005, Atlanta, GA, p. 32-35. DOI : 10.1109/CEMTD.2005.1531705.

Computational modeling of uncertainty in time-domain electromagnetics

C. Chauviere; J. S. Hesthaven; L. Lurati 

2005. 2005 Workshop on Computational Electromagnetics in Time-Domain (CEM-TD), New York, p. 32-35.

Pade-Jacobi Approximants

J. S. Hesthaven; S. M. Kaber 

2004

Fast and accurate boundary variation method for multilayered diffraction optics

L. Wilcox; P. Dinesen; J. S. Hesthaven 

Journal of the Optical Society of America A. 2004. DOI : 10.1364/JOSAA.21.000757.

High-order accurate methods for time-domain electromagnetics

J. S. Hesthaven; T. Warburton 

Computer Modeling in Engineering & Sciences. 2004. DOI : 10.3970/cmes.2004.005.395.

High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem

J. S. Hesthaven; T. Warburton 

Philosophical Transactions of the Royal Society of London A. 2004. DOI : 10.1098/rsta.2003.1332.

Discontinuous Galerkin methods for the time-domain Maxwell's equations

J. S. Hesthaven; T. Warburton 

ACES Newsletter. 2004. 

On the constants in hp-finite element trace inverse inequalities

T. Warburton; J. S. Hesthaven 

Computer Methods in Applied Mechanics and Engineering. 2003. DOI : 10.1016/S0045-7825(03)00294-9.

High-order accurate methods in time-domain computational electromagnetics: A review

J. S. Hesthaven 

Advances in Imaging and Electron Physics, Vol 127; Elsevier, 2003. p. 59-123.

High-order localized time integration for grid-induced stiffness

C. Chauviere; J. S. Hesthaven; A. Kanevsky; T. Warburton 

2003. Computational Fluid and Solid Mechanics 2003, Amsterdam, p. 1883-1886.

A multi-domain Chebyshev collocation method for predicting ultrasonic field parameters in complex material geometries

S. Nielsen; J. S. Hesthaven 

Ultrasonics. 2002. DOI : 10.1016/S0041-624X(02)00133-6.

Nodal high-order methods on unstructured grids - I. Time-domain solution of Maxwell's equations

J. S. Hesthaven; T. Warburton 

Journal of Computational Physics. 2002. DOI : 10.1006/jcph.2002.7118.

Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations

F. Giraldo; J. S. Hesthaven; T. Warburton 

Journal of Computational Physics. 2002. DOI : 10.1006/jcph.2002.7139.

Multidomain pseudospectral time-domain simulations of scattering by objects buried in lossy media

G. Fan; Q. Liu; J. S. Hesthaven 

IEEE Transactions on Geoscience and Remote Sensing. 2002. DOI : 10.1109/TGRS.2002.800272.

Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics

S. Abarbanel; D. Gottlieb; J. S. Hesthaven 

Journal of Scientific Computing. 2002. DOI : 10.1023/A:1015141823608.

Spectral methods for hyperbolic problems

D. Gottlieb; J. S. Hesthaven 

Journal of Computational and Applied Mathematics. 2001. DOI : 10.1016/S0377-0427(00)00510-0.

Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems

I. Fatkullin; J. S. Hesthaven 

Journal of Scientific Computing. 2001. DOI : 10.1023/A:1011198413865.

Multi-domain pseudospectral time-domain method for lossy media

G-X. Fan; Q. H. Liu; J. S. Hesthaven 

2001. IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), Boston, MA, p. 842-845.

Staircase-free finite-difference time-domain formulation for general materials in complex geometries

K. Dridi; J. S. Hesthaven; A. Ditkowski 

IEEE Transactions on Antennas and Propagation. 2001. DOI : 10.1109/8.929629.

Convergent Cartesian grid methods for Maxwell's equations in complex geometries

A. Ditkowski; K. Dridi; J. S. Hesthaven 

Journal of Computational Physics. 2001. DOI : 10.1006/jcph.2001.6719.

Fast and accurate modeling of waveguide grating couplers. II. Three-dimensional vectorial case

P. Dinesen; J. S. Hesthaven 

Journal of the Optical Society of America A. 2001. DOI : 10.1364/JOSAA.18.002876.

Proceedings of the 4th International Conference on Spectral and High-Order Methods (ICOSAHOM'98)

J. S. Hesthaven; D. Gottlieb; E. Turkel 

2000. 4th International Conference on Spectral and High-Order Methods.

Ground states of dispersion-managed nonlinear Schrodinger equation

V. Zharnitsky; E. Grenier; S. Turitsyn; C. Jones; J. S. Hesthaven 

Physical Review E. 2000. DOI : 10.1103/PhysRevE.62.7358.

Multidomain pseudospectral computation of Maxwell's equations in 3-D general curvilinear coordinates

B. Yang; J. S. Hesthaven 

Applied Numerical Mathematics. 2000. DOI : 10.1016/S0168-9274(99)00094-X.

A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements

T. Warburton; L. Pavarino; J. S. Hesthaven 

Journal of Computational Physics. 2000. DOI : 10.1006/jcph.2000.6587.

Stable spectral methods on tetrahedral elements

J. S. Hesthaven; C. Teng 

SIAM Journal on Scientific Computing. 2000. DOI : 10.1137/S1064827598343723.

Spectral penalty methods

J. S. Hesthaven 

Applied Numerical Mathematics. 2000. DOI : 10.1016/S0168-9274(99)00068-9.

FDTD method for Maxwells equations in complex geometries

A. Ditkowski; K. Dridi; J. S. Hesthaven 

2000. Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, USA, p. 917-923.

A pseudospectral collocation time-domain method for diffractive optics

P. Dinesen; J. S. Hesthaven; J. Lynov 

Applied Numerical Mathematics. 2000. DOI : 10.1016/S0168-9274(99)00084-7.

Rigorous three-dimensional analysis of surface-relief gratings using a spectral collocation method

P. Dinesen; J. S. Hesthaven; J. Lynov 

2000. SPIE 3951, Diffractive/Holographic Technologies and Spatial Light Modulators VII, Bellingham, WA, p. 2-10. DOI : 10.1117/12.379350.

Rigorous analysis of focusing grating couplers using a time-domain spectral collocation method

P. Dinesen; J. S. Hesthaven; J. Lynov 

2000. SPIE 3951, Diffractive/Holographic Technologies and Spatial Light Modulators VII, 11, Bellingham, p. 11-19. DOI : 10.1117/12.379358.

Fast and accurate modeling of waveguide grating couplers

P. Dinesen; J. S. Hesthaven 

Journal of the Optical Society of America A. 2000. DOI : 10.1364/JOSAA.17.001565.

A pseudospectral method for time-domain computation of electromagnetic scattering by bodies of revolution

B. Yang; J. S. Hesthaven 

IEEE Transactions on Antennas and Propagation. 1999. DOI : 10.1109/8.753003.

Stable spectral methods for conservation laws on triangles with unstructured grids

J. S. Hesthaven; D. Gottlieb 

Computer Methods in Applied Mechanics and Engineering. 1999. DOI : 10.1016/S0045-7825(98)00361-2.

Spectral collocation time-domain modeling of diffractive optical elements

J. S. Hesthaven; P. Dinesen; J. Lynov 

Journal of Computational Physics. 1999. DOI : 10.1006/jcph.1999.6333.

Pseudospectral method for the analysis of diffractive optical elements

P. Dinesen; J. S. Hesthaven; J. Lynov; L. Lading 

Journal of the Optical Society of America A. 1999. DOI : 10.1364/JOSAA.16.001124.

Well-posed perfectly matched layers for advective acoustics

S. Abarbanel; D. Gottlieb; J. S. Hesthaven 

Journal of Computational Physics. 1999. DOI : 10.1006/jcph.1999.6313.

A wavelet optimized adaptive multi-domain method

J. S. Hesthaven; L. Jameson 

Journal of Computational Physics. 1998. DOI : 10.1006/jcph.1998.6012.

Integration preconditioning of pseudospectral operators. I. Basic linear operators

J. S. Hesthaven 

SIAM Journal on Numerical Analysis. 1998. DOI : 10.1137/S0036142997319182.

On the analysis and construction of perfectly matched layers for the linearized Euler equations

J. S. Hesthaven 

Journal of Computational Physics. 1998. DOI : 10.1006/jcph.1998.5938.

From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex

J. S. Hesthaven 

SIAM Journal on Numerical Analysis. 1998. DOI : 10.1137/S003614299630587X.

A stable penalty method for the compressible Navier-Stokes equations: III. Multidimensional domain decomposition schemes

J. S. Hesthaven 

SIAM Journal on Scientific Computing. 1998. DOI : 10.1137/S1064827596299470.

Pseudospectral time-domain modeling of diffractive optical elements

J. S. Hesthaven; P. G. Dinesen; J. P. Lynov 

1998. Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, USA, p. 858-865.

Spectral simulations of electromagnetic wave scattering

B. Yang; D. Gottlieb; J. S. Hesthaven 

Journal of Computational Physics. 1997. DOI : 10.1006/jcph.1997.5686.

Numerical studies of localized wavefields governed by the Raman-extended derivative nonlinear Schrodinger equation

J. S. Hesthaven; J. Rasmussen; L. Berge; J. Wyller 

Journal of Physics A. 1997. DOI : 10.1088/0305-4470/30/23/019.

A stable penalty method for the compressible Navier-Stokes equations: II. One-dimensional domain decomposition schemes

J. S. Hesthaven 

SIAM Journal on Scientific Computing. 1997. DOI : 10.1137/S1064827594276540.

Dipolar vortices in two-dimensional flows

J. Rasmussen; J. S. Hesthaven; J. Lynov; A. Nielsen; M. Schmidt 

Mathematics and Computers in Simulation. 1996. DOI : 10.1016/0378-4754(95)00033-X.

A stable penalty method for the compressible Navier-Stokes equations .1. Open boundary conditions

J. S. Hesthaven; D. Gottlieb 

SIAM Journal on Scientific Computing. 1996. DOI : 10.1137/S1064827594268488.

Coherent structures in plasmas and fluids

J. Rasmussen; J. S. Hesthaven; J. Lynov; A. Nielsen 

1995. International Conference on Plasma Physics - ICPP 1994, Woodbury, NY, p. 359-366.

The Eulerian-Lagrangian transformation in two-dimensional random flows

J. S. Hesthaven; A. Nielsen; H. Pecseli; J. Rasmussen 

Journal of Computational and Applied Mathematics. 1995. DOI : 10.1016/0021-9169(93)E0009-X.

Dynamics of a nonlinear dipole vortex

J. S. Hesthaven; J. Lynov; A. Nielsen; J. Rasmussen; M. Schmidt et al. 

Physics of Fluids. 1995. DOI : 10.1063/1.868470.

Dynamical properties of vortical structures on the beta-plane

G. Sutyrin; J. S. Hesthaven; J. Lynov; J. Rasmussen 

Journal of Fluid Mechanics. 1994. DOI : 10.1017/S002211209400128X.

Vortex dynamics in plasmas and fluids

J. Juul Rasmussen; J. P. Lynov; J. S. Hesthaven; G. G. Sutyrin 

Plasma Physics and Controlled Fusion. 1994. DOI : 10.1088/0741-3335/36/12B/016.

Generation of tripolar vortical structures on the beta plane

J. S. Hesthaven; J. Lynov; J. Rasmussen; G. Sutyrin 

Physics of Fluids A. 1993. DOI : 10.1063/1.858844.

Vortex dynamics in 2-dimensional flows

J. S. Hesthaven; J. Lynov; J. Rasmussen; G. Sutyrin 

1993. Future Directions of Nonlinear Dynamics in Physical and Biological Systems, 233 Spring St, New York, NY 10013, p. 59-62.

Dynamics of nonstationary dipole vortices

J. S. Hesthaven; J. Lynov; J. Nycander 

Physics of Fluids A. 1993. DOI : 10.1063/1.858648.

Numerical studies of the Eulerian-Lagrangian transformation in two-dimensional isotropic turbulence

J. S. Hesthaven; J. P. Lynov; A. H. Nielsen; J. J. Rasmussen; H. L. Pecseli 

1992. 

Comparison of 2 FFT Libraries on the Amdahl Fujitsu VP Computer - NAG and Siemens Libraries

J. Ducroz; J. S. Hesthaven; J. Wasniewski 

Supercomputer. 1992. 

Sparse Gradient Image Reconstruction from Incomplete Fourier Measurements and Prior Edge Information

K. Chowdhary; J. S. Hesthaven; E. Walsh 

Efficient Absorbing Layers for Weakly Compressible Flows

Z. Gao; J. S. Hesthaven; T. Warburton