Yeganeh, Somayeh; Mokhtari, Reza; Hesthaven, Jan S. A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations. (English) Zbl 1476.65260 Commun. Appl. Math. Comput. 2, No. 4, 689-709 (2020). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{S. Yeganeh} et al., Commun. Appl. Math. Comput. 2, No. 4, 689--709 (2020; Zbl 1476.65260) Full Text: DOI
Yu, Jian; Hesthaven, Jan S. A study of several artificial viscosity models within the discontinuous Galerkin framework. (English) Zbl 1491.76046 Commun. Comput. Phys. 27, No. 5, 1309-1343 (2020). MSC: 76M10 76N15 76L05 PDFBibTeX XMLCite \textit{J. Yu} and \textit{J. S. Hesthaven}, Commun. Comput. Phys. 27, No. 5, 1309--1343 (2020; Zbl 1491.76046) Full Text: DOI
Karakus, A.; Chalmers, N.; Hesthaven, J. S.; Warburton, T. Discontinuous Galerkin discretizations of the Boltzmann-BGK equations for nearly incompressible flows: semi-analytic time stepping and absorbing boundary layers. (English) Zbl 1452.65236 J. Comput. Phys. 390, 175-202 (2019). MSC: 65M60 35Q20 76M10 76M28 65Z05 PDFBibTeX XMLCite \textit{A. Karakus} et al., J. Comput. Phys. 390, 175--202 (2019; Zbl 1452.65236) Full Text: DOI arXiv
Ray, Deep; Hesthaven, Jan S. An artificial neural network as a troubled-cell indicator. (English) Zbl 1415.65229 J. Comput. Phys. 367, 166-191 (2018). MSC: 65M60 35L65 68T05 PDFBibTeX XMLCite \textit{D. Ray} and \textit{J. S. Hesthaven}, J. Comput. Phys. 367, 166--191 (2018; Zbl 1415.65229) Full Text: DOI Link
Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A. Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. (English) Zbl 1391.76305 J. Comput. Phys. 362, 425-448 (2018). MSC: 76M10 65M60 86A05 PDFBibTeX XMLCite \textit{B. Bonev} et al., J. Comput. Phys. 362, 425--448 (2018; Zbl 1391.76305) Full Text: DOI Link
Yeganeh, S.; Mokhtari, R.; Hesthaven, J. S. Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method. (English) Zbl 1377.65124 BIT 57, No. 3, 685-707 (2017). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65M32 65M60 35R11 65M06 65M12 35K20 PDFBibTeX XMLCite \textit{S. Yeganeh} et al., BIT 57, No. 3, 685--707 (2017; Zbl 1377.65124) Full Text: DOI Link
Gatto, P.; Hesthaven, Jan S. Efficient preconditioning of \(hp\)-FEM matrices by hierarchical low-rank approximations. (English) Zbl 1371.65028 J. Sci. Comput. 72, No. 1, 49-80 (2017). MSC: 65F08 65N30 65M60 PDFBibTeX XMLCite \textit{P. Gatto} and \textit{J. S. Hesthaven}, J. Sci. Comput. 72, No. 1, 49--80 (2017; Zbl 1371.65028) Full Text: DOI
Li, Jichun; Hesthaven, Jan S. Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. (English) Zbl 1349.74327 J. Comput. Phys. 258, 915-930 (2014). MSC: 74S05 78M10 65M60 74J05 78A40 PDFBibTeX XMLCite \textit{J. Li} and \textit{J. S. Hesthaven}, J. Comput. Phys. 258, 915--930 (2014; Zbl 1349.74327) Full Text: DOI Link
Xu, Qinwu; Hesthaven, Jan S. Discontinuous Galerkin method for fractional convection-diffusion equations. (English) Zbl 1297.26018 SIAM J. Numer. Anal. 52, No. 1, 405-423 (2014). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26A33 35R11 65M60 65M12 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{J. S. Hesthaven}, SIAM J. Numer. Anal. 52, No. 1, 405--423 (2014; Zbl 1297.26018) Full Text: DOI arXiv
Klöckner, A.; Warburton, T.; Hesthaven, J. S. Viscous shock capturing in a time-explicit discontinuous Galerkin method. (English) Zbl 1220.65165 Math. Model. Nat. Phenom. 6, No. 3, 57-83 (2011). MSC: 65N30 65N35 65N40 35F61 PDFBibTeX XMLCite \textit{A. Klöckner} et al., Math. Model. Nat. Phenom. 6, No. 3, 57--83 (2011; Zbl 1220.65165) Full Text: DOI arXiv EuDML
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon A seamless reduced basis element method for 2D Maxwell’s problem: an introduction. (English) Zbl 1217.78056 Hesthaven, Jan S. (ed.) et al., Spectral and high order methods for partial differential equations. Selected papers from the 8th ICOSAHOM ’09 conference, Trondheim, Norway, June 22–26, 2009. Berlin: Springer (ISBN 978-3-642-15336-5/hbk; 978-3-642-15337-2/ebook). Lecture Notes in Computational Science and Engineering 76, 141-152 (2011). MSC: 78M10 65N30 65N55 PDFBibTeX XMLCite \textit{Y. Chen} et al., Lect. Notes Comput. Sci. Eng. 76, 141--152 (2011; Zbl 1217.78056) Full Text: DOI
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell’s problem. (English) Zbl 1181.78019 ESAIM, Math. Model. Numer. Anal. 43, No. 6, 1099-1116 (2009). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M25 65N15 65N30 78A25 35Q61 PDFBibTeX XMLCite \textit{Y. Chen} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 6, 1099--1116 (2009; Zbl 1181.78019) Full Text: DOI EuDML
Klöckner, A.; Warburton, T.; Bridge, J.; Hesthaven, J. S. Nodal discontinuous Galerkin methods on graphics processors. (English) Zbl 1175.65111 J. Comput. Phys. 228, No. 21, 7863-7882 (2009). MSC: 65M60 35L65 65Y20 65Y05 35Q61 PDFBibTeX XMLCite \textit{A. Klöckner} et al., J. Comput. Phys. 228, No. 21, 7863--7882 (2009; Zbl 1175.65111) Full Text: DOI arXiv
Hesthaven, Jan S.; Warburton, Tim Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. (English) Zbl 1134.65068 Texts in Applied Mathematics 54. New York, NY: Springer (ISBN 978-0-387-72065-4/hbk). xiv, 500 p. (2008). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65-02 65M70 65N30 65N35 65Y15 35L15 35L65 35J05 35Q60 35Q30 76M10 78M10 76D05 76N15 PDFBibTeX XMLCite \textit{J. S. Hesthaven} and \textit{T. Warburton}, Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. New York, NY: Springer (2008; Zbl 1134.65068)
Chun, S.; Hesthaven, J. S. Modeling of the frozen mode phenomenon and its sensitivity using discontinuous Galerkin methods. (English) Zbl 1164.78319 Commun. Comput. Phys. 2, No. 4, 611-639 (2007). MSC: 78M10 65M60 78A48 PDFBibTeX XMLCite \textit{S. Chun} and \textit{J. S. Hesthaven}, Commun. Comput. Phys. 2, No. 4, 611--639 (2007; Zbl 1164.78319)
Kanevsky, Alex; Carpenter, Mark H.; Gottlieb, David; Hesthaven, Jan S. Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes. (English) Zbl 1123.65097 J. Comput. Phys. 225, No. 2, 1753-1781 (2007). MSC: 65M20 65M60 35L65 65L06 65M12 65L50 35Q30 PDFBibTeX XMLCite \textit{A. Kanevsky} et al., J. Comput. Phys. 225, No. 2, 1753--1781 (2007; Zbl 1123.65097) Full Text: DOI
Engsig-Karup, Allan P.; Hesthaven, Jan S.; Bingham, Harry B.; Madsen, Per A. Nodal DG-FEM solution of high-order Boussinesq-type equations. (English) Zbl 1200.76121 J. Eng. Math. 56, No. 3, 351-370 (2006). MSC: 76M10 76B15 PDFBibTeX XMLCite \textit{A. P. Engsig-Karup} et al., J. Eng. Math. 56, No. 3, 351--370 (2006; Zbl 1200.76121) Full Text: DOI Link
Chauvière, C.; Hesthaven, J. S.; Lurati, L. Computational modeling of uncertainty in time-domain electromagnetics. (English) Zbl 1115.78014 SIAM J. Sci. Comput. 28, No. 2, 751-775 (2006). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M25 65C30 65N35 65C05 60H20 78A25 35Q60 35R60 PDFBibTeX XMLCite \textit{C. Chauvière} et al., SIAM J. Sci. Comput. 28, No. 2, 751--775 (2006; Zbl 1115.78014) Full Text: DOI Link