Jan S. Hesthaven

117 papers Journal 114Unranked 2

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Deep orthogonal decomposition: a continuously adaptive neural network approach to model order reduction of parametrized partial differential equations. Adv. Comput. Math. Nicola Rares Franco, Andrea Manzoni, Paolo Zunino, Jan S. Hesthaven
2026	J	`jnl`	Nonlinear model reduction for transport-dominated problems. CoRR Jan S. Hesthaven, Benjamin Peherstorfer, Benjamin Unger
2025	J	`jnl`	A coordinate transformation-based physics-informed neural networks for hyperbolic conservation laws. J. Comput. Phys. Yuanhong Chen, Zhen Gao, Jan S. Hesthaven, Yifan Lin, Xiang Sun
2025	J	`jnl`	Galerkin neural network-POD for acoustic and electromagnetic wave propagation in parametric domains. Adv. Comput. Math. Philipp Weder, Mariella Kast, Fernando Henríquez, Jan S. Hesthaven
2025	—	`conf`	Leveraging Contrast Agent Kinetics for Robust Reflectance Mode Fluorescence Tomography. ISBI Mariella Kast, Mykhaylo Zayats, Shayan Shafiee, Sergiy Zhuk, Jan S. Hesthaven, Amit Joshi
2025	J	`jnl`	Neural Empirical Interpolation Method for Nonlinear Model Reduction. SIAM J. Sci. Comput. Max Hirsch, Federico Pichi, Jan S. Hesthaven
2024	J	`jnl`	A graph convolutional autoencoder approach to model order reduction for parametrized PDEs. J. Comput. Phys. Federico Pichi, Beatriz Moya, Jan S. Hesthaven
2024	J	`jnl`	Deep orthogonal decomposition: a continuously adaptive data-driven approach to model order reduction. CoRR Nicola Rares Franco, Andrea Manzoni, Paolo Zunino, Jan S. Hesthaven
2024	J	`jnl`	Fast Numerical Approximation of Linear, Second-Order Hyperbolic Problems Using Model Order Reduction and the Laplace Transform. CoRR Fernando Henríquez, Jan S. Hesthaven
2024	J	`jnl`	GFN: A graph feedforward network for resolution-invariant reduced operator learning in multifidelity applications. CoRR Oisín M. Morrison, Federico Pichi, Jan S. Hesthaven
2024	J	`jnl`	Galerkin Neural Network-POD for Acoustic and Electromagnetic Wave Propagation in Parametric Domains. CoRR Philipp Weder, Mariella Kast, Fernando Henríquez, Jan S. Hesthaven
2024	J	`jnl`	Massively parallel nodal discontinous Galerkin finite element method simulator for room acoustics. Int. J. High Perform. Comput. Appl. Anders Melander, Emil Strøm, Finnur Pind, Allan P. Engsig-Karup, Cheol-Ho Jeong, Tim Warburton, Noel Chalmers, Jan S. Hesthaven
2024	J	`jnl`	Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems. CoRR Matteo Caldana, Jan S. Hesthaven
2024	J	`jnl`	Neural empirical interpolation method for nonlinear model reduction. CoRR Max Hirsch, Federico Pichi, Jan S. Hesthaven
2024	J	`jnl`	Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems. J. Comput. Phys. Junming Duan, Jan S. Hesthaven
2024	J	`jnl`	Perfectly matched layers for the Boltzmann equation: Stability and sensitivity analysis. J. Comput. Phys. Marco Sutti, Jan S. Hesthaven
2024	J	`jnl`	Positional embeddings for solving PDEs with evolutional deep neural networks. J. Comput. Phys. Mariella Kast, Jan S. Hesthaven
2023	J	`jnl`	A graph convolutional autoencoder approach to model order reduction for parametrized PDEs. CoRR Federico Pichi, Beatriz Moya, Jan S. Hesthaven
2023	J	`jnl`	A new variable shape parameter strategy for RBF approximation using neural networks. Comput. Math. Appl. Fatemeh Nassajian Mojarrad, Maria Han Veiga, Jan S. Hesthaven, Philipp Öffner
2023	J	`jnl`	Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation. Math. Comput. Jan S. Hesthaven, Cecilia Pagliantini, Nicolò Ripamonti
2023	J	`jnl`	Machine learning enhanced real-time aerodynamic forces prediction based on sparse pressure sensor inputs. CoRR Junming Duan, Qian Wang, Jan S. Hesthaven
2023	J	`jnl`	Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems. CoRR Junming Duan, Jan S. Hesthaven
2023	J	`jnl`	Perfectly matched layers for the Boltzmann equation: stability and sensitivity analysis. CoRR Marco Sutti, Jan S. Hesthaven
2023	J	`jnl`	Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks. CoRR Mariella Kast, Jan S. Hesthaven
2022	J	`jnl`	A Hierarchical Preconditioner for Wave Problems in Quasilinear Complexity. SIAM J. Sci. Comput. Boris Bonev, Jan S. Hesthaven
2022	J	`jnl`	A new variable shape parameter strategy for RBF approximation using neural networks. CoRR Fatemeh Nassajian Mojarrad, Maria Han Veiga, Jan S. Hesthaven, Philipp Öffner
2022	J	`jnl`	Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation. CoRR Jan S. Hesthaven, Cecilia Pagliantini, Nicolò Ripamonti
2022	J	`jnl`	Discovery of Slow Variables in a Class Of Multiscale Stochastic Systems Via Neural Networks. J. Nonlinear Sci. Przemyslaw Zielinski, Jan S. Hesthaven
2022	J	`jnl`	FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment. J. Comput. Phys. X Oscar P. Bruno, Jan S. Hesthaven, Daniel V. Leibovici
2022	J	`jnl`	Model order reduction for compressible flows solved using the discontinuous Galerkin methods. J. Comput. Phys. Jian Yu, Jan S. Hesthaven
2022	J	`jnl`	Multi-fidelity surrogate modeling using long short-term memory networks. CoRR Paolo Conti, Mengwu Guo, Andrea Manzoni, Jan S. Hesthaven
2022	J	`jnl`	Reduced basis methods for time-dependent problems. Acta Numer. Jan S. Hesthaven, Cecilia Pagliantini, Gianluigi Rozza
2021	J	`jnl`	A hierarchical preconditioner for wave problems in quasilinear complexity. CoRR Boris Bonev, Jan S. Hesthaven
2021	J	`jnl`	An artificial neural network approach to bifurcating phenomena in computational fluid dynamics. CoRR Federico Pichi, Francesco Ballarin, Gianluigi Rozza, Jan S. Hesthaven
2021	J	`jnl`	Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks. J. Comput. Phys. Lukas Schwander, Deep Ray, Jan S. Hesthaven
2021	J	`jnl`	Discovery of slow variables in a class of multiscale stochastic systems via neural networks. CoRR Przemyslaw Zielinski, Jan S. Hesthaven
2021	J	`jnl`	Efficient numerical room acoustic simulations with parametrized boundaries using the spectral element and reduced basis method. CoRR Hermes Sampedro Llopis, Allan P. Engsig-Karup, Cheol-Ho Jeong, Finnur Pind, Jan S. Hesthaven
2021	J	`jnl`	FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment. CoRR Oscar P. Bruno, Jan S. Hesthaven, Daniel V. Leibovici
2021	J	`jnl`	Hybrid high-resolution RBF-ENO method. J. Comput. Phys. X Jan S. Hesthaven, Fabian Mönkeberg
2021	—	`ed.`	Mathematical and Scientific Machine Learning, 16-19 August 2021, Virtual Conference / Lausanne, Switzerland. MSML Joan Bruna, Jan S. Hesthaven, Lenka Zdeborová
2021	J	`jnl`	Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities. CoRR Mengwu Guo, Andrea Manzoni, Maurice Amendt, Paolo Conti, Jan S. Hesthaven
2021	J	`jnl`	Physics-informed machine learning for reduced-order modeling of nonlinear problems. J. Comput. Phys. Wenqian Chen, Qian Wang, Jan S. Hesthaven, Chuhua Zhang
2021	J	`jnl`	Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. Adv. Comput. Math. Qifeng Zhang, Jan S. Hesthaven, Zhi-Zhong Sun, Yunzhu Ren
2021	J	`jnl`	Structure-preserving model order reduction of Hamiltonian systems. CoRR Jan S. Hesthaven, Cecilia Pagliantini, Nicolò Ripamonti
2021	J	`jnl`	Structure-preserving reduced basis methods for Poisson systems. Math. Comput. Jan S. Hesthaven, Cecilia Pagliantini
2020	J	`jnl`	A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations. J. Sci. Comput. Wenrui Hao, Jan S. Hesthaven, Guang Lin, Bin Zheng
2020	J	`jnl`	An Edge Detector Based on Artificial Neural Network with Application to Hybrid Compact-WENO Finite Difference Scheme. J. Sci. Comput. Xiao Wen, Wai Sun Don, Zhen Gao, Jan S. Hesthaven
2020	J	`jnl`	Constraint-aware neural networks for Riemann problems. J. Comput. Phys. Jim Magiera, Deep Ray, Jan S. Hesthaven, Christian Rohde
2020	J	`jnl`	Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks. J. Comput. Phys. Niccolò Discacciati, Jan S. Hesthaven, Deep Ray
2020	J	`jnl`	Rank-adaptive structure-preserving reduced basis methods for Hamiltonian systems. CoRR Jan S. Hesthaven, Cecilia Pagliantini, Nicolò Ripamonti
2020	J	`jnl`	Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism. J. Comput. Phys. Qian Wang, Nicolò Ripamonti, Jan S. Hesthaven
2020	J	`jnl`	Two-Dimensional RBF-ENO Method on Unstructured Grids. J. Sci. Comput. Jan S. Hesthaven, Fabian Mönkeberg
2019	J	`jnl`	Detecting troubled-cells on two-dimensional unstructured grids using a neural network. J. Comput. Phys. Deep Ray, Jan S. Hesthaven
2019	J	`jnl`	Discontinuous Galerkin discretizations of the Boltzmann-BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers. J. Comput. Phys. Ali Karakus, Noel Chalmers, Jan S. Hesthaven, Tim Warburton
2019	J	`jnl`	Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem. J. Comput. Phys. Qian Wang, Jan S. Hesthaven, Deep Ray
2019	J	`jnl`	Projective multiscale time-integration for electrostatic particle-in-cell methods. Comput. Phys. Commun. Paul Cazeaux, Jan S. Hesthaven
2019	J	`jnl`	Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems. J. Sci. Comput. Babak Maboudi Afkham, Jan S. Hesthaven
2018	J	`jnl`	An artificial neural network as a troubled-cell indicator. J. Comput. Phys. Deep Ray, Jan S. Hesthaven
2018	J	`jnl`	Communication-aware adaptive Parareal with application to a nonlinear hyperbolic system of partial differential equations. J. Comput. Phys. Allan S. Nielsen, Gilles Brunner, Jan S. Hesthaven
2018	J	`jnl`	Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. J. Comput. Phys. Boris Bonev, Jan S. Hesthaven, Francis X. Giraldo, Michal A. Kopera
2018	J	`jnl`	Non-intrusive reduced order modeling of nonlinear problems using neural networks. J. Comput. Phys. Jan S. Hesthaven, Stefano Ubbiali
2017	J	`jnl`	A Kernel Compression Scheme for Fractional Differential Equations. SIAM J. Numer. Anal. Daniel Baffet, Jan S. Hesthaven
2017	J	`jnl`	Adaptive WENO Methods Based on Radial Basis Function Reconstruction. J. Sci. Comput. Caterina Bigoni, Jan S. Hesthaven
2017	J	`jnl`	Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations. J. Sci. Comput. Paolo Gatto, Jan S. Hesthaven
2017	J	`jnl`	High-Order Accurate Adaptive Kernel Compression Time-Stepping Schemes for Fractional Differential Equations. J. Sci. Comput. Daniel Baffet, Jan S. Hesthaven
2017	J	`jnl`	High-Order Accurate Local Schemes for Fractional Differential Equations. J. Sci. Comput. Daniel Baffet, Jan S. Hesthaven
2017	J	`jnl`	Structure Preserving Model Reduction of Parametric Hamiltonian Systems. SIAM J. Sci. Comput. Babak Maboudi Afkham, Jan S. Hesthaven
2016	—	`conf`	Fault Tolerance in the Parareal Method. FTXS@HPDC Allan S. Nielsen, Jan S. Hesthaven
2016	J	`jnl`	On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations. J. Sci. Comput. Jan S. Hesthaven, Shun Zhang
2016	J	`jnl`	Research and Education in Computational Science and Engineering. CoRR Ulrich Rüde, Karen Willcox, Lois Curfman McInnes, Hans De Sterck, George Biros, Hans-Joachim Bungartz, James Corones, Evin Cramer, James Crowley, Omar Ghattas, Max D. Gunzburger, Michael Hanke, Robert J. Harrison, Michael A. Heroux, Jan S. Hesthaven, Peter K. Jimack, Chris Johnson, Kirk E. Jordan, David E. Keyes, Rolf H. Krause, Vipin Kumar, Stefan Mayer, Juan Meza, Knut Martin Mørken, J. Tinsley Oden, Linda R. Petzold, Padma Raghavan, Suzanne M. Shontz, Anne E. Trefethen, Peter R. Turner, Vladimir V. Voevodin, Barbara I. Wohlmuth, Carol S. Woodward
2015	J	`jnl`	A multi-domain spectral method for time-fractional differential equations. J. Comput. Phys. Feng Chen, Qinwu Xu, Jan S. Hesthaven
2015	J	`jnl`	A parareal method for time-fractional differential equations. J. Comput. Phys. Qinwu Xu, Jan S. Hesthaven, Feng Chen
2015	J	`jnl`	Accuracy of High Order and Spectral Methods for Hyperbolic Conservation Laws with Discontinuous Solutions. SIAM J. Numer. Anal. Jens Zudrop, Jan S. Hesthaven
2015	J	`jnl`	Hyperbolic Problems: Theory and Computation. J. Sci. Comput. Jan S. Hesthaven, Jae-Hun Jung, Allen M. Tesdall
2015	J	`jnl`	Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. J. Comput. Phys. Liangliang Qiu, Weihua Deng, Jan S. Hesthaven
2015	J	`jnl`	Numerical Approximation of the Fractional Laplacian via hp-finite Elements, with an Application to Image Denoising. J. Sci. Comput. Paolo Gatto, Jan S. Hesthaven
2015	J	`jnl`	Reduced Basis Multiscale Finite Element Methods for Elliptic Problems. Multiscale Model. Simul. Jan S. Hesthaven, Shun Zhang, Xueyu Zhu
2015	J	`jnl`	Special Issue on "Fractional PDEs: Theory, Numerics, and Applications". J. Comput. Phys. George E. Karniadakis, Jan S. Hesthaven, Igor Podlubny
2014	J	`jnl`	Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. J. Comput. Phys. Jichun Li, Jan S. Hesthaven
2014	J	`jnl`	Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations. SIAM J. Numer. Anal. Qinwu Xu, Jan S. Hesthaven
2014	J	`jnl`	High-Order Multiscale Finite Element Method for Elliptic Problems. Multiscale Model. Simul. Jan S. Hesthaven, Shun Zhang, Xueyu Zhu
2014	J	`jnl`	Stable multi-domain spectral penalty methods for fractional partial differential equations. J. Comput. Phys. Qinwu Xu, Jan S. Hesthaven
2013	J	`jnl`	A generalization of the Wiener rational basis functions on infinite intervals, Part II - Numerical investigation. J. Comput. Appl. Math. Akil C. Narayan, Jan S. Hesthaven
2013	J	`jnl`	Fast prediction and evaluation of gravitational waveforms using surrogate models. CoRR Scott E. Field, Chad R. Galley, Jan S. Hesthaven, Jason Kaye, Manuel Tiglio
2013	J	`jnl`	Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws. J. Comput. Phys. Khosro Shahbazi, Jan S. Hesthaven, Xueyu Zhu
2013	J	`jnl`	Solving Wave Equations on Unstructured Geometries CoRR Andreas Klöckner, Timothy Warburton, Jan S. Hesthaven
2012	J	`jnl`	A reduced basis method for electromagnetic scattering by multiple particles in three dimensions. J. Comput. Phys. Mahadevan Ganesh, Jan S. Hesthaven, Benjamin Stamm
2012	J	`jnl`	Certified Reduced Basis Method for the Electric Field Integral Equation. SIAM J. Sci. Comput. Jan S. Hesthaven, Benjamin Stamm, S. Zhang
2012	J	`jnl`	High-Order Discontinuous Galerkin Methods by GPU Metaprogramming CoRR Andreas Klöckner, Timothy Warburton, Jan S. Hesthaven
2011	J	`jnl`	A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties. Math. Comput. Akil Narayan, Jan S. Hesthaven
2011	J	`jnl`	Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. J. Comput. Phys. Khosro Shahbazi, Nathan Albin, Oscar P. Bruno, Jan S. Hesthaven
2011	J	`jnl`	The reduced basis method for the electric field integral equation. J. Comput. Phys. M. Fares, Jan S. Hesthaven, Yvon Maday, Benjamin Stamm
2010	J	`jnl`	Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations. SIAM J. Sci. Comput. Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jerónimo Rodríguez
2010	J	`jnl`	High-order accurate thin layer approximations for time-domain electromagnetics, Part II: Transmission layers. J. Comput. Appl. Math. Sehun Chun, Houssem Haddar, Jan S. Hesthaven
2010	J	`jnl`	On ANOVA expansions and strategies for choosing the anchor point. Appl. Math. Comput. Zhen Gao, Jan S. Hesthaven
2009	J	`jnl`	High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings. J. Comput. Appl. Math. Sehun Chun, Jan S. Hesthaven
2009	J	`jnl`	Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning. Comput. Phys. Commun. Gustaaf B. Jacobs, Jan S. Hesthaven
2009	J	`jnl`	Nodal discontinuous Galerkin methods on graphics processors. J. Comput. Phys. Andreas Klöckner, Tim Warburton, Jeff Bridge, Jan S. Hesthaven
2009	J	`jnl`	Polymorphic nodal elements and their application in discontinuous Galerkin methods. J. Comput. Phys. Gregor Gassner, Frieder Lörcher, Claus-Dieter Munz, Jan S. Hesthaven
2008	J	`jnl`	Filtering in Legendre spectral methods. Math. Comput. Jan S. Hesthaven, Robert M. Kirby
2007	J	`jnl`	Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes. J. Comput. Phys. Alex Kanevsky, Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven
2006	J	`jnl`	Computational Modeling of Uncertainty in Time-Domain Electromagnetics. SIAM J. Sci. Comput. Cédric Chauvière, Jan S. Hesthaven, Laura B. Lurati
2006	J	`jnl`	Foreword. J. Sci. Comput. David I. Gottlieb, Jan S. Hesthaven, George E. Karniadakis, Chi-Wang Shu
2006	J	`jnl`	High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids. J. Comput. Phys. Gustaaf B. Jacobs, Jan S. Hesthaven
2006	J	`jnl`	Idempotent filtering in spectral and spectral element methods. J. Comput. Phys. Alex Kanevsky, Mark H. Carpenter, Jan S. Hesthaven
2006	J	`jnl`	Non-Linear PML Equations for Time Dependent Electromagnetics in Three Dimensions. J. Sci. Comput. Saul Abarbanel, David I. Gottlieb, Jan S. Hesthaven
2006	J	`jnl`	Padé-Legendre Interpolants for Gibbs Reconstruction. J. Sci. Comput. Jan S. Hesthaven, Sidi Mahmoud Kaber, Laura B. Lurati
2005	J	`jnl`	Foreword. J. Sci. Comput. Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven, Chi-Wang Shu
2005	J	`jnl`	High-Order Collocation Methods for Differential Equations with Random Inputs. SIAM J. Sci. Comput. Dongbin Xiu, Jan S. Hesthaven
2005	J	`jnl`	Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs. SIAM J. Numer. Anal. Qian-Yong Chen, David I. Gottlieb, Jan S. Hesthaven
2002	J	`jnl`	Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics. J. Sci. Comput. Saul Abarbanel, David I. Gottlieb, Jan S. Hesthaven
2002	J	`jnl`	Multidomain pseudospectral time-domain simulations of scattering by objects buried in lossy media. IEEE Trans. Geosci. Remote. Sens. Guo-Xin Fan, Qing Huo Liu, Jan S. Hesthaven
2001	J	`jnl`	Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems. J. Sci. Comput. I. Fatkullin, Jan S. Hesthaven
2000	J	`jnl`	Stable Spectral Methods on Tetrahedral Elements. SIAM J. Sci. Comput. Jan S. Hesthaven, C. H. Teng
1998	J	`jnl`	A Stable Penalty Method for the Compressible Navier-Stokes Equations: III. Multidimensional Domain Decomposition Schemes. SIAM J. Sci. Comput. Jan S. Hesthaven
1997	J	`jnl`	A Stable Penalty Method for the Compressible Navier-Stokes Equations: II. One-Dimensional Domain Decomposition Schemes. SIAM J. Sci. Comput. Jan S. Hesthaven
1996	J	`jnl`	A Stable Penalty Method for the Compressible Navier-Stokes Equations: I. Open Boundary Conditions. SIAM J. Sci. Comput. Jan S. Hesthaven, David I. Gottlieb