C. Bigoni; J. S. Hesthaven : Simulation-Based Anomaly Detection and Damage Localization: an Application to Structural Health Monitoring. 2019-04-10.
M. Kast; M. Guo; J. S. Hesthaven : A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems. 2019-04-10.
E. Jun; M. Pfeiffer; L. Mieussens; M. Gorji : Comparative study between Cubic and Ellipsoidal Fokker-Planck kinetic models; AIAA Journal. 2019. DOI : 10.2514/1.J057935.
P. Jenny; M. Gorji : Accurate particle time integration for solving Vlasov-Fokker-Planck equations with specified electromagnetic fields; Journal of Computational Physics. 2019. DOI : 10.1016/j.jcp.2019.02.040.
N. Discacciati; J. S. Hesthaven; D. Ray : Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial\ viscosity tuned by neural networks. 2019-01-28.
P. Cazeaux; J. S. Hesthaven : Projective multiscale time-integration for electrostatic particle-in-cell methods; Computer Physics Communications. 2019. DOI : 10.1016/j.cpc.2018.10.012.
Z. Zhang; M. Guo; J. S. Hesthaven : Model order reduction for large-scale structures with local nonlinearities. 2018-11-09.
M. Gorji : Treatment of long-range interactions arising in the Enskog-Vlasov description of dense fluids; Journal of Computational Physics. 2018.
D. Ray; J. S. Hesthaven : Detecting troubled-cells on two-dimensional unstructured grids using a neural network. 2018-11-01.
J. S. Hesthaven; F. Mönkeberg : Entropy stable essentially non-oscillatory methods based on RBF reconstructions; Mathematical Modeling and Numerical Analysis. 2018-08-14.
M. Hajihassanpour; B. Bonev; J. S. Hesthaven : Validation study of static and dynamic tsunami source models using the discontinuous Galerkin method for the spherical shallow water equations. 2018-08-11.
J. S. Hesthaven; C. Pagliantini : Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure; Foundations of Computational Mathematics. 2018.
K. Shukla; J. S. Hesthaven; J. M. Carcione; R. Ye; J. de la Puenta et al. : A nodal discontinuous Galerkin finite element method for the poroelastic wave equation; Computational Geoscience. 2018. DOI : 10.1007/s10596-019-9809-1.
M. H. Gorji : Logarithmic Gradient Transformation and Chaos Expansion of Ito Processes. 2018.
W. Chen; B. Junqiang; J. S. Hesthaven; Q. Yasong; Q. Lei et al. : POD-Kriging reduced method’s application in Tandem Cylinders’ flow; Journal of Northwestern Polytechnical University. 2018-06-01.
W. Chen; J. S. Hesthaven; B. Junqiang; Y. Qiu; Y. Tihao et al. : Greedy Non-Intrusive Reduced Order Model for Fluid Dynamics; AIAA Journal. 2018-06-24. DOI : 10.2514/1.J056161.
T. Lahivaara; A. Pasanen; L. Karkkainen; J. M. Huttunen; J. S. Hesthaven et al. : Estimation of groundwater storage from seismic data using deep learning; Geophysics Research Letters. 2018-06-24.
J. Yu; J. S. Hesthaven; C. Yan : A data-driven shock capturing approach for discontinuous Galekin methods. 2018-06-18.
Q. Wang; J. S. Hesthaven; D. Ray : Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem; Journal of Computational Physics. 2018-06-18. DOI : 10.1016/j.jcp.2019.01.031.
M. Guo; J. S. Hesthaven : Data-driven reduced order modeling for time-dependent problems; Computer Methods in Applied Mechanics and Engineering. 2018-10. DOI : 10.1016/j.cma.2018.10.029.
A. Karakus; N. Chalmers; J. S. Hesthaven; T. Warburton : Discontinuous Galerkin Discretizations of the Boltzmann Equations in 2D: semi-analytic time stepping and absorbing boundary layers. 2018. DOI : 10.1016/j.jcp.2019.03.050.
B. Maboudi Afkham; A. Bhatt; B. Haasdonk; J. S. Hesthaven : Symplectic Model-Reduction with a Weighted Inner Product; SIAM Journal of Scientific Computing. 2018.
J. Yu; J. S. Hesthaven : Flowfield Reconstruction Method Using Artificial Neural Network; AIAA Journal. 2018. DOI : 10.2514/1.J057108.
M. Guo; J. S. Hesthaven : Reduced order modeling for nonlinear structural analysis using Gaussian process regression; Computer Methods in Applied Mechanics and Engineering. 2018. DOI : 10.1016/j.cma.2018.07.017.
B. Bonev; J. S. Hesthaven; F. X. Giraldo; M. A. Kopera : Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction; Journal of Computational Physics. 2018. DOI : 10.1016/j.jcp.2018.02.008.
D. Ray; J. S. Hesthaven : An artificial neural network as a troubled-cell indicator; Journal of computational physics. 2018. DOI : 10.1016/j.jcp.2018.04.029.
J. S. Hesthaven; S. Ubbiali : Non-intrusive reduced order modeling of nonlinear problems using neural networks; Journal of Computational Physics. 2018. DOI : 10.1016/j.jcp.2018.02.037.
T. Lahivaara; L. Karkkainen; J. M. Huttunen; J. S. Hesthaven : Deep convolutional neural networks for estimating porous material parameters with ultrasound tomography; Journal of the Acoustical Society of America. 2018. DOI : 10.1121/1.5024341.
U. Ruede; K. Willcox; L. C. McInnes; H. De Sterck; G. Biros et al. : Research and Education in Computational Science and Engineering; Siam Review. 2018. DOI : 10.1137/16M1096840.
J. Yu; J. S. Hesthaven : A comparative study of shock capturing models for the discontinuous Galerkin method; Journal of Computational Physics. 2017.
P. Gatto; J. S. Hesthaven : Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations; Journal Of Scientific Computing. 2017. DOI : 10.1007/s10915-016-0347-x.
A. S. Nielsen; G. Brunner; J. S. Hesthaven : Communication-aware adaptive parareal with application to a nonlinear hyperbolic system of partial dierential equations; Journal of Computational Physics. 2017. DOI : 10.1016/j.jcp.2018.04.056.
B. Maboudi Afkham; J. S. Hesthaven : Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems; Journal of Scientific Computing. 2017.
W. Chen; J. S. Hesthaven; B. Junqiang; Z. Yang; Y. Tihao : A greedy non-intrusive reduced order model for fluid dynamics; Journal of Northwestern Polytechnical University. 2017.
D. Baffet; J. S. Hesthaven : High-Order Accurate Local Schemes for Fractional Differential Equations; Journal Of Scientific Computing. 2017. DOI : 10.1007/s10915-015-0089-1.
M. Dam; M. Brøns; J. J. Rasmussen; V. Naulin; J. S. Hesthaven : Identification of a Predator-Prey System from Simulation Data of a Convection Model; Physics of Plasmas. 2017. DOI : 10.1063/1.4977057.
P. Gatto; J. S. Hesthaven; R. Christiansen : Efficient preconditioning of hp-FEM matrices arising from time-varying problems: an application to topology optimization; Computer Methods in Applied Mechanics and Engineering. 2017. DOI : 10.1016/j.cma.2017.04.027.
C. Bigoni; J. S. Hesthaven : Adaptive WENO methods based on radial basis functions reconstruction; Journal of Scientific Computing. 2017. DOI : 10.1007/s10915-017-0383-1.
D. H. Baffet; J. S. Hesthaven : High-Order Accurate Adaptive Kernel Compression Time-Stepping Schemes for Fractional Differential Equations; Journal of Scientific Computing. 2017. DOI : 10.1007/s10915-017-0393-z.
B. Maboudi Afkham; J. S. Hesthaven : Structure preserving model reduction of parametric Hamiltonian systems; Siam Journal on Scientific Computing. 2017. DOI : 10.1137/17M1111991.
S. Yeganeh; R. Mokhtari; J. S. Hesthaven : Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method; BIT Numerical Mathematics. 2017. DOI : 10.1007/s10543-017-0648-y.
D. H. Baffet; J. S. Hesthaven : A kernel compression scheme for fractional differential equations; Siam Journal on Numerical Analysis. 2017. DOI : 10.1137/15M1043960.
L. Zhao; W. Deng; J. S. Hesthaven : Spectral methods for tempered fractional differential equations; Mathematics of Computation. 2016.
J. S. Hesthaven; S. Zhang : On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations; Journal of Scientific Computing. 2016. DOI : 10.1007/s10915-016-0194-9.
J. S. Hesthaven; J.-H. Jung; A. Tesdall : Hyperbolic Problems: Theory and Computation; Journal Of Scientific Computing. 2015. DOI : 10.1007/s10915-015-0065-9.
F. Chen; J. S. Hesthaven; Y. Maday; A. S. Nielsen : An Adjoint Approach for Stabilizing the Parareal Method; Comptes rendus des séances de l’Académie des Sciences. Série A, Sciences mathématiques**. 2015.
G. E. Karniadakis; J. S. Hesthaven; I. Podlubny : Special Issue on “Fractional PDEs: Theory, Numerics, and Applications”; Journal Of Computational Physics. 2015. DOI : 10.1016/j.jcp.2015.04.007.
J. Zudrop; J. S. Hesthaven : Accuracy of high order and spectral methods for hyperbolic conservation laws with discontinuous solutions; Siam Journal on Numerical Analysis. 2015. DOI : 10.1137/140992758.
L. Qiu; W. Deng; J. S. Hesthaven : Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes; Journal of Computational Physics. 2015. DOI : 10.1016/j.jcp.2015.06.022.
P. Gatto; J. S. Hesthaven : Numerical approximation of the fractional Laplacian via hp-finite elements, with an application to image denoising; Journal of Scientific Computing. 2015. DOI : 10.1007/s10915-014-9959-1.
Q. Xu; J. S. Hesthaven; F. Chen : A Parareal Method for Time-fractional Differential Equations; Journal of Computational Physics. 2015. DOI : 10.1016/j.jcp.2014.11.034.
W. Deng; J. S. Hesthaven : Local discontinuous Galerkin methods for fractional ordinary differential equations; Bit Numerical Mathematics. 2015. DOI : 10.1007/s10543-014-0531-z.
S. Tirupathi; J. S. Hesthaven; Y. Liang : Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method; Communications in Computational Physics. 2015. DOI : 10.4208/cicp.090314.151214a.
S. Tirupathi; J. S. Hesthaven; Y. Liang; M. Parmentier : Multilevel and Local Timestepping Discontinuous Galerkin Methods for Magma Dynamics; Computational Geosciences. 2015. DOI : 10.1007/s10596-015-9514-7.
J. S. Hesthaven; S. Zhang; X. Zhu : Reduced basis multiscale finite element methods for elliptic problems; Multiscale Modeling and Simulation. 2015. DOI : 10.1137/120898024.
F. Chen; Q. Xu; J. S. Hesthaven : A Multi-domain Spectral Method for Time-fractional Differential Equations; Journal of Computational Physics. 2015. DOI : 10.1016/j.jcp.2014.10.016.
J. Li; J. S. Hesthaven : Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials; Journal Of Computational Physics. 2014. DOI : 10.1016/j.jcp.2013.11.018.
R. Munipalli; X. Zhu; S. Menon; J. S. Hesthaven : Model Reduction Opportunities in Detailed Simulations of Combustion Dynamics; Aiaa Journal. 2014.
Q. Xu; J. S. Hesthaven : Discontinuous Galerkin method for fractional convection-diffusion equations; Siam Journal on Numerical Analysis. 2014. DOI : 10.1137/130918174.
J. S. Hesthaven; S. Zhang; X. Zhu : High-order multiscale finite element method for elliptic problems; Multiscale Modeling and Simulation. 2014. DOI : 10.1137/120898024.
J. S. Hesthaven; B. Stamm; S. Zhang : Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods; Mathematical Modelling and Numerical Analysis. 2014. DOI : 10.1051/m2an/2013100.
P. Cazeaux; J. S. Hesthaven : Multiscale modeling of sound propagation through the lung parenchyma; Mathematical Modelling and Numerical Analysis. 2014. DOI : 10.1051/m2an/2013093.
Q. Xu; J. S. Hesthaven : Stable multi-domain spectral penalty methods for fractional partial differential equations; Journal of Computational Physics. 2014. DOI : 10.1016/j.jcp.2013.09.041.
S. E. Field; C. R. Galley; J. S. Hesthaven; J. Kaye; M. Tiglio : Fast prediction and evaluation of gravitational waveforms using surrogate models; Physical Review X. 2014. DOI : 10.1103/PhysRevX.4.031006.
W. Deng; J. S. Hesthaven : Local discontinuous Galerkin methods for fractional diffusion equations; Mathematical Modelling and Numerical Analysis. 2013. DOI : 10.1051/m2an/2013091.
K. Shahbazi; J. S. Hesthaven; X. Zhu : Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws; Journal of Computational Physics. 2013. DOI : 10.1016/j.jcp.2013.07.009.
A. C. Narayan; J. S. Hesthaven : A generalization of the Wiener rational basis functions on infinite intervals, Part II – Numerical investigation; Journal of Computational and Applied Mathematics. 2013. DOI : 10.1016/j.cam.2012.06.036.
A. L. Tampos; J. E. C. Lope; J. S. Hesthaven : Accurate reconstruction of discontinuous functions using the singular pade-chebyshev method; IAENG International Journal of Applied Mathematics. 2012.
A. Narayan; J. S. Hesthaven : Computation of connection coefficients and measure modifications for orthogonal polynomials; BIT Numerical Mathematics. 2012. DOI : 10.1007/s10543-011-0363-z.
J. S. Hesthaven; B. Stamm; S. Zhang : Certified Reduced Basis Method for the Electric Field Integral Equation; SIAM Journal on Scientific Computing. 2012. DOI : 10.1137/110848268.
M. Ganesh; J. S. Hesthaven; B. Stamm : A reduced basis method for electromagnetic scattering by multiple particles in three dimensions; Journal of Computational Physics. 2012. DOI : 10.1016/j.jcp.2012.07.008.
Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez; X. Zhu : Certified reduced basis method for electromagnetic scattering and radar cross section estimation; Computer Methods in Applied Mechanics and Engineering. 2012. DOI : 10.1016/j.cma.2012.04.013.
J. D. Brown; P. Diener; S. E. Field; J. S. Hesthaven; F. Herrmann et al. : Numerical simulations with a first-order BSSN formulation of Einstein’s field equations; Physical Review D. 2012. DOI : 10.1103/PhysRevD.85.084004.
K. Shahbazi; N. Albin; O. P. Bruno; J. S. Hesthaven : Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws; Journal of Computational Physics. 2011. DOI : 10.1016/j.jcp.2011.08.024.
A. R. Schiemenz; M. A. Hesse; J. S. Hesthaven : Modeling Magma Dynamics with a Mixed Fourier Collocation – Discontinuous Galerkin Method; Communications in Computational Physics. 2011. DOI : 10.4208/cicp.030210.240910a.
A. C. Narayan; J. S. Hesthaven : A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties; Mathematics of Computation. 2011. DOI : 10.1090/S0025-5718-2010-02437-8.
M. Liu; Z. Gao; J. S. Hesthaven : Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty; Applied Numerical Mathematics. 2011. DOI : 10.1016/j.apnum.2010.08.002.
A. Kloeckner; T. Warburton; J. S. Hesthaven : Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method; Mathematical Modelling of Natural Phenomena. 2011. DOI : 10.1051/mmnp/20116303.
J. S. Hesthaven; E. M. Rønquist : Lecture Notes in Computational Science and Engineering: Foreword; Lecture Notes in Computational Science and Engineering. 2011.
Z. Gao; J. S. Hesthaven : Efficient Solution of Ordinary Differential Equations with High-Dimensional Parametrized Uncertainty; Communications in Computational Physics. 2011. DOI : 10.4208/cicp.090110.080910a.
S. E. Field; C. R. Galley; F. Herrmann; J. S. Hesthaven; E. Ochsner et al. : Reduced Basis Catalogs for Gravitational Wave Templates; Physical Review Letters. 2011. DOI : 10.1103/PhysRevLett.106.221102.
M. Fares; J. S. Hesthaven; Y. Maday; B. Stamm : The reduced basis method for the electric field integral equation; Journal of Computational Physics. 2011. DOI : 10.1016/j.jcp.2011.03.023.
Y. Chen; J. S. Hesthaven; Y. Maday : A seamless reduced basis element method for 2D Maxwell’s problem: An introduction; Lecture Notes in Computational Science and Engineering. 2011. DOI : 10.1007/978-3-642-15337-2_11.
Y. Liang; A. Schiemenz; M. A. Hesse; E. M. Parmentier; J. S. Hesthaven : High-porosity channels for melt migration in the mantle: Top is the dunite and bottom is the harzburgite and lherzolite; Geophysical Research Letters. 2010. DOI : 10.1029/2010GL044162.
D. B. P. Huynh; D. J. Knezevic; Y. Chen; J. S. Hesthaven; A. T. Patera : A natural-norm Successive Constraint Method for inf-sup lower bounds; Computer Methods in Applied Mechanics and Engineering. 2010. DOI : 10.1016/j.cma.2010.02.011.
Z. Gao; J. S. Hesthaven : On ANOVA expansions and strategies for choosing the anchor point; Applied Mathematics and Computation. 2010. DOI : 10.1016/j.amc.2010.08.061.
S. E. Field; J. S. Hesthaven; S. R. Lau; A. H. Mroue : Discontinuous Galerkin method for the spherically reduced Baumgarte-Shapiro-Shibata-Nakamura system with second-order operators; Physical Review D. 2010. DOI : 10.1103/PhysRevD.82.104051.
S. E. Field; J. S. Hesthaven; S. R. Lau : Persistent junk solutions in time-domain modeling of extreme mass ratio binaries; Physical Review D. 2010. DOI : 10.1103/PhysRevD.81.124030.
S. Chun; H. Haddar; J. S. Hesthaven : High-order accurate thin layer approximations for time-domain electromagnetics, Part II: Transmission layers; Journal of Computational and Applied Mathematics. 2010. DOI : 10.1016/j.cam.2010.03.022.
Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez : Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell’s Equations; SIAM Journal on Scientific Computing. 2010. DOI : 10.1137/09075250X.
S. R. Lau; H. P. Pfeiffer; J. S. Hesthaven : IMEX Evolution of Scalar Fields on Curved Backgrounds; Communications in Computational Physics. 2009. DOI : 10.4208/cicp.2009.v6.p1063.
A. Kloeckner; T. Warburton; J. Bridge; J. S. Hesthaven : Nodal discontinuous Galerkin methods on graphics processors; Journal of Computational Physics. 2009. DOI : 10.1016/j.jcp.2009.06.041.
G. B. Jacobs; J. S. Hesthaven : Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning; Computer Physics Communications. 2009. DOI : 10.1016/j.cpc.2009.05.020.
G. J. Gassner; F. Loercher; C.-D. Munz; J. S. Hesthaven : Polymorphic nodal elements and their application in discontinuous Galerkin methods; Journal of Computational Physics. 2009. DOI : 10.1016/j.jcp.2008.11.012.
S. E. Field; J. S. Hesthaven; S. R. Lau : Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries; Classical and Quantum Gravity. 2009. DOI : 10.1088/0264-9381/26/16/165010.
S. Chun; J. S. Hesthaven : High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings; Journal of Computational and Applied Mathematics. 2009. DOI : 10.1016/j.cam.2009.04.019.
Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez : Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell’s problem; ESAIM: Mathematical Modelling and Numerical Analysis. 2009. DOI : 10.1051/m2an/2009037.
H. Bagci; A. C. Yucel; J. S. Hesthaven; E. Michielssen : A Fast Stroud-Based Collocation Method for Statistically Characterizing EMI/EMC Phenomena on Complex Platforms; IEEE Transactions on Electromagnetic Compatibility. 2009. DOI : 10.1109/TEMC.2009.2015056.
J. S. Hesthaven; R. M. Kirby : Filtering in Legendre spectral methods; Mathematics of Computation. 2008. DOI : 10.1090/S0025-5718-08-02110-8.
A. P. Engsig-Karup; J. S. Hesthaven; H. B. Bingham; T. Warburton : DG-FEM solution for nonlinear wave-structure interaction using Boussinesq-type equations; Coastal Engineering. 2008. DOI : 10.1016/j.coastaleng.2007.09.005.
S. Chun; J. S. Hesthaven : PDE constrained optimization and design of frozen mode crystals; Communications in Computational Physics. 2008.
Y. Chen; J. S. Hesthaven; Y. Maday; J. Rodriguez : A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations; Comptes rendus de mathematique de l’academie des sciences. 2008. DOI : 10.1016/j.crma.2008.10.012.
E. Brodal; J. S. Hesthaven; F. Melandso : Numerical modeling of double-layered piezoelectric transducer systems using a high-order discontinuous Galerkin method; Computers & Structures. 2008. DOI : 10.1016/j.compstruc.2008.02.006.
H. Salman; J. S. Hesthaven; T. Warburton; G. Haller : Predicting transport by Lagrangian coherent structures with a high-order method; Theoretical and Computational Fluid Dynamics. 2007. DOI : 10.1007/s00162-006-0031-0.
A. Kanevsky; M. H. Carpenter; D. Gottlieb; J. S. Hesthaven : Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes; Journal of Computational Physics. 2007. DOI : 10.1016/j.jcp.2007.02.021.
S. Chun; J. S. Hesthaven : Modeling of the Frozen Mode Phenomenon and its Sensitivity Using Discontinuous Galerkin Methods; Communications in Computational Physics. 2007.
C. Chauviere; J. S. Hesthaven; L. C. Wilcox : Efficient computation of RCS from scatterers of uncertain shapes; IEEE Transactions on Antennas and Propagation. 2007. DOI : 10.1109/TAP.2007.895629.
M. Kilic; G. Jacobs; J. S. Hesthaven; G. Haller : Reduced Navier-Stokes equations near a flow boundary; Physica D. 2006. DOI : 10.1016/j.physd.2006.04.008.
A. Kanevsky; M. H. Carpenter; J. S. Hesthaven : Idempotent filtering in spectral and spectral element methods; Journal of Computational Physics. 2006. DOI : 10.1016/j.jcp.2006.05.014.
G. Jacobs; J. S. Hesthaven : High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids; Journal of Computational Physics. 2006. DOI : 10.1016/j.jcp.2005.09.008.
J. S. Hesthaven; S. M. Kaber; L. Lurati : Pade-legendre interpolants for Gibbs reconstruction; Journal of Scientific Computing. 2006. DOI : 10.1007/s10915-006-9085-9.
J. Grooss; J. S. Hesthaven : A level set discontinuous Galerkin method for free surface flows; Computer Methods in Applied Mechanics and Engineering. 2006. DOI : 10.1016/j.cma.2006.06.020.
D. Gottlieb; J. S. Hesthaven; G. Karniadakis; C. Shu : Foreword; Journal of Scientific Computing. 2006. DOI : 10.1007/s10915-005-9061-9.
A. P. Engsig-Karup; J. S. Hesthaven; H. B. Bingham; P. A. Madsen : Nodal DG-FEM solution of high-order Boussinesq-type equations; Journal of Engineering Mathematics. 2006. DOI : 10.1007/s10665-006-9064-z.
C. Chauviere; J. S. Hesthaven; L. Lurati : Computational modeling of uncertainty in time-domain electromagnetics; SIAM Journal on Scientific Computing. 2006. DOI : 10.1137/040621673.
S. Abarbanel; D. Gottlieb; J. S. Hesthaven : Non-linear PML equations for time dependent electromagnetics in three dimensions; Journal of Scientific Computing. 2006. DOI : 10.1007/s10915-006-9072-1.
D. Xiu; J. S. Hesthaven : High-order collocation methods for differential equations with random inputs; SIAM Journal on Scientific Computing. 2005. DOI : 10.1137/040615201.
R. Horvath; L. Wilcox; H. Pedersen; N. Skivesen; J. S. Hesthaven et al. : Analytical and numerical study on grating depth effects in grating coupled waveguide sensors; Applied Physics B. 2005. DOI : 10.1007/s00340-005-1841-2.
P. Diamessis; J. Domaradzki; J. S. Hesthaven : A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence; Journal of Computational Physics. 2005. DOI : 10.1016/j.jcp.2004.07.007.
Q. Chen; D. Gottlieb; J. S. Hesthaven : Uncertainty analysis for the steady-state flows in a dual throat nozzle; Journal of Computational Physics. 2005. DOI : 10.1016/j.jcp.2004.10.019.
Q. Chen; D. Gottlieb; J. S. Hesthaven : Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs; SIAM Journal on Numerical Analysis. 2005. DOI : 10.1137/S0036142903432425.
L. Wilcox; P. Dinesen; J. S. Hesthaven : Fast and accurate boundary variation method for multilayered diffraction optics; Journal of the Optical Society of America A. 2004. DOI : 10.1364/JOSAA.21.000757.
J. S. Hesthaven; T. Warburton : High-order accurate methods for time-domain electromagnetics; Computer Modeling in Engineering & Sciences. 2004. DOI : 10.3970/cmes.2004.005.395.
J. S. Hesthaven; T. Warburton : High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem; Philosophical Transactions of the Royal Society of London A. 2004. DOI : 10.1098/rsta.2003.1332.
J. S. Hesthaven; T. Warburton : Discontinuous Galerkin methods for the time-domain Maxwell’s equations; ACES Newsletter. 2004.
T. Warburton; J. S. Hesthaven : On the constants in hp-finite element trace inverse inequalities; Computer Methods in Applied Mechanics and Engineering. 2003. DOI : 10.1016/S0045-7825(03)00294-9.
S. Nielsen; J. S. Hesthaven : A multi-domain Chebyshev collocation method for predicting ultrasonic field parameters in complex material geometries; Ultrasonics. 2002. DOI : 10.1016/S0041-624X(02)00133-6.
J. S. Hesthaven; T. Warburton : Nodal high-order methods on unstructured grids – I. Time-domain solution of Maxwell’s equations; Journal of Computational Physics. 2002. DOI : 10.1006/jcph.2002.7118.
F. Giraldo; J. S. Hesthaven; T. Warburton : Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations; Journal of Computational Physics. 2002. DOI : 10.1006/jcph.2002.7139.
G. Fan; Q. Liu; J. S. Hesthaven : Multidomain pseudospectral time-domain simulations of scattering by objects buried in lossy media; IEEE Transactions on Geoscience and Remote Sensing. 2002. DOI : 10.1109/TGRS.2002.800272.
S. Abarbanel; D. Gottlieb; J. S. Hesthaven : Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics; Journal of Scientific Computing. 2002. DOI : 10.1023/A:1015141823608.
D. Gottlieb; J. S. Hesthaven : Spectral methods for hyperbolic problems; Journal of Computational and Applied Mathematics. 2001. DOI : 10.1016/S0377-0427(00)00510-0.
I. Fatkullin; J. S. Hesthaven : Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems; Journal of Scientific Computing. 2001. DOI : 10.1023/A:1011198413865.
K. Dridi; J. S. Hesthaven; A. Ditkowski : Staircase-free finite-difference time-domain formulation for general materials in complex geometries; IEEE Transactions on Antennas and Propagation. 2001. DOI : 10.1109/8.929629.
A. Ditkowski; K. Dridi; J. S. Hesthaven : Convergent Cartesian grid methods for Maxwell’s equations in complex geometries; Journal of Computational Physics. 2001. DOI : 10.1006/jcph.2001.6719.
P. Dinesen; J. S. Hesthaven : Fast and accurate modeling of waveguide grating couplers. II. Three-dimensional vectorial case; Journal of the Optical Society of America A. 2001. DOI : 10.1364/JOSAA.18.002876.
V. Zharnitsky; E. Grenier; S. Turitsyn; C. Jones; J. S. Hesthaven : Ground states of dispersion-managed nonlinear Schrodinger equation; Physical Review E. 2000. DOI : 10.1103/PhysRevE.62.7358.
B. Yang; J. S. Hesthaven : Multidomain pseudospectral computation of Maxwell’s equations in 3-D general curvilinear coordinates; Applied Numerical Mathematics. 2000. DOI : 10.1016/S0168-9274(99)00094-X.
T. Warburton; L. Pavarino; J. S. Hesthaven : A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements; Journal of Computational Physics. 2000. DOI : 10.1006/jcph.2000.6587.
J. S. Hesthaven; C. Teng : Stable spectral methods on tetrahedral elements; SIAM Journal on Scientific Computing. 2000. DOI : 10.1137/S1064827598343723.
J. S. Hesthaven : Spectral penalty methods; Applied Numerical Mathematics. 2000. DOI : 10.1016/S0168-9274(99)00068-9.
P. Dinesen; J. S. Hesthaven; J. Lynov : A pseudospectral collocation time-domain method for diffractive optics; Applied Numerical Mathematics. 2000. DOI : 10.1016/S0168-9274(99)00084-7.
P. Dinesen; J. S. Hesthaven : Fast and accurate modeling of waveguide grating couplers; Journal of the Optical Society of America A. 2000. DOI : 10.1364/JOSAA.17.001565.
B. Yang; J. S. Hesthaven : A pseudospectral method for time-domain computation of electromagnetic scattering by bodies of revolution; IEEE Transactions on Antennas and Propagation. 1999. DOI : 10.1109/8.753003.
J. S. Hesthaven; D. Gottlieb : Stable spectral methods for conservation laws on triangles with unstructured grids; Computer Methods in Applied Mechanics and Engineering. 1999. DOI : 10.1016/S0045-7825(98)00361-2.
J. S. Hesthaven; P. Dinesen; J. Lynov : Spectral collocation time-domain modeling of diffractive optical elements; Journal of Computational Physics. 1999. DOI : 10.1006/jcph.1999.6333.
P. Dinesen; J. S. Hesthaven; J. Lynov; L. Lading : Pseudospectral method for the analysis of diffractive optical elements; Journal of the Optical Society of America A. 1999. DOI : 10.1364/JOSAA.16.001124.
S. Abarbanel; D. Gottlieb; J. S. Hesthaven : Well-posed perfectly matched layers for advective acoustics; Journal of Computational Physics. 1999. DOI : 10.1006/jcph.1999.6313.
J. S. Hesthaven; L. Jameson : A wavelet optimized adaptive multi-domain method; Journal of Computational Physics. 1998. DOI : 10.1006/jcph.1998.6012.
J. S. Hesthaven : Integration preconditioning of pseudospectral operators. I. Basic linear operators; SIAM Journal on Numerical Analysis. 1998. DOI : 10.1137/S0036142997319182.
J. S. Hesthaven : On the analysis and construction of perfectly matched layers for the linearized Euler equations; Journal of Computational Physics. 1998. DOI : 10.1006/jcph.1998.5938.
J. S. Hesthaven : From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex; SIAM Journal on Numerical Analysis. 1998. DOI : 10.1137/S003614299630587X.
J. S. Hesthaven : A stable penalty method for the compressible Navier-Stokes equations: III. Multidimensional domain decomposition schemes; SIAM Journal on Scientific Computing. 1998. DOI : 10.1137/S1064827596299470.
B. Yang; D. Gottlieb; J. S. Hesthaven : Spectral simulations of electromagnetic wave scattering; Journal of Computational Physics. 1997. DOI : 10.1006/jcph.1997.5686.
J. S. Hesthaven; J. Rasmussen; L. Berge; J. Wyller : Numerical studies of localized wavefields governed by the Raman-extended derivative nonlinear Schrodinger equation; Journal of Physics A. 1997. DOI : 10.1088/0305-4470/30/23/019.
J. S. Hesthaven : A stable penalty method for the compressible Navier-Stokes equations: II. One-dimensional domain decomposition schemes; SIAM Journal on Scientific Computing. 1997. DOI : 10.1137/S1064827594276540.
J. Rasmussen; J. S. Hesthaven; J. Lynov; A. Nielsen; M. Schmidt : Dipolar vortices in two-dimensional flows; Mathematics and Computers in Simulation. 1996. DOI : 10.1016/0378-4754(95)00033-X.
J. S. Hesthaven; D. Gottlieb : A stable penalty method for the compressible Navier-Stokes equations .1. Open boundary conditions; SIAM Journal on Scientific Computing. 1996. DOI : 10.1137/S1064827594268488.
J. S. Hesthaven; A. Nielsen; H. Pecseli; J. Rasmussen : The Eulerian-Lagrangian transformation in two-dimensional random flows; Journal of Computational and Applied Mathematics. 1995. DOI : 10.1016/0021-9169(93)E0009-X.
J. S. Hesthaven; J. Lynov; A. Nielsen; J. Rasmussen; M. Schmidt et al. : Dynamics of a nonlinear dipole vortex; Physics of Fluids. 1995. DOI : 10.1063/1.868470.
G. Sutyrin; J. S. Hesthaven; J. Lynov; J. Rasmussen : Dynamical properties of vortical structures on the beta-plane; Journal of Fluid Mechanics. 1994. DOI : 10.1017/S002211209400128X.
J. Juul Rasmussen; J. P. Lynov; J. S. Hesthaven; G. G. Sutyrin : Vortex dynamics in plasmas and fluids; Plasma Physics and Controlled Fusion. 1994. DOI : 10.1088/0741-3335/36/12B/016.
J. S. Hesthaven; J. Lynov; J. Rasmussen; G. Sutyrin : Generation of tripolar vortical structures on the beta plane; Physics of Fluids A. 1993. DOI : 10.1063/1.858844.
J. S. Hesthaven; J. Lynov; J. Nycander : Dynamics of nonstationary dipole vortices; Physics of Fluids A. 1993. DOI : 10.1063/1.858648.
J. Ducroz; J. S. Hesthaven; J. Wasniewski : Comparison of 2 FFT Libraries on the Amdahl Fujitsu VP Computer – NAG and Siemens Libraries; Supercomputer. 1992.