Publications

Recent manuscripts

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.
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 : A Flow Field Reconstruction Method Using Artificial Neural Networks; Aiaa Journal. 2018.
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.
J. S. Hesthaven; S. Ubbiali : Non-intrusive reduced order modeling of nonlinear problems using neural networks; Journal of Computational Physics. 2018.
M. Guo; J. S. Hesthaven : Reduced order modeling for nonlinear structural analysis using Gaussian process regression; Computer Methods in Applied Mechanics and Engineering. 2017.
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. 2017.
J. Yu; J. S. Hesthaven : A comparative study of shock capturing models for the discontinuous Galerkin method; Journal of Computational Physics. 2017.
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.
B. Maboudi Afkham; J. S. Hesthaven : Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems; Journal of Scientific Computing. 2017.
U. Ruede; K. Willcox; L. C. McInnes; H. De Sterck; G. Biros et al. : Research and Education in Computational Science and Engineering; Siam Review. 2017.
B. Maboudi Afkham; J. S. Hesthaven : Structure preserving model reduction of parametric Hamiltonian systems; Siam Journal on Scientific Computing. 2017. DOI : 10.1137/17M1111991.
L. Zhao; W. Deng; J. S. Hesthaven : Spectral methods for tempered fractional differential equations; Mathematics of Computation. 2016.
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.
P. Cazeaux; J. S. Hesthaven : Multiscale time-integration for particle-in-cell methods; Journal of Computational Physics. 2014.
R. Munipalli; X. Zhu; S. Menon; J. S. Hesthaven : Model Reduction Opportunities in Detailed Simulations of Combustion Dynamics; Aiaa Journal. 2014.
K. Chowdhary; J. S. Hesthaven; E. Walsh : Sparse Gradient Image Reconstruction from Incomplete Fourier Measurements and Prior Edge Information; Communications in Computational Physics.
Z. Gao; J. S. Hesthaven; T. Warburton : Efficient Absorbing Layers for Weakly Compressible Flows; Journal of Scientific Computing.