Wintermeyer, Niklas; Winters, Andrew R.; Gassner, Gregor J.; Kopriva, David A. An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry. (English) Zbl 1380.65291 J. Comput. Phys. 340, 200-242 (2017). MSC: 65M60 35Q35 65M70 PDFBibTeX XMLCite \textit{N. Wintermeyer} et al., J. Comput. Phys. 340, 200--242 (2017; Zbl 1380.65291) Full Text: DOI arXiv
Kopriva, David A.; Nordström, Jan; Gassner, Gregor J. Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems. (English) Zbl 1371.65097 J. Sci. Comput. 72, No. 1, 314-330 (2017). MSC: 65M15 35L04 65M60 65M70 PDFBibTeX XMLCite \textit{D. A. Kopriva} et al., J. Sci. Comput. 72, No. 1, 314--330 (2017; Zbl 1371.65097) Full Text: DOI Link
Gassner, Gregor J.; Winters, Andrew R.; Kopriva, David A. A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. (English) Zbl 1410.65393 Appl. Math. Comput. 272, Part 2, 291-308 (2016). MSC: 65M70 65M60 76B15 PDFBibTeX XMLCite \textit{G. J. Gassner} et al., Appl. Math. Comput. 272, Part 2, 291--308 (2016; Zbl 1410.65393) Full Text: DOI Link
Kopriva, David A.; Winters, Andrew R.; Bohm, Marvin; Gassner, Gregor J. A provably stable discontinuous Galerkin spectral element approximation for moving hexahedral meshes. (English) Zbl 1390.76653 Comput. Fluids 139, 148-160 (2016). MSC: 76M22 76M10 65M70 65M12 65M60 PDFBibTeX XMLCite \textit{D. A. Kopriva} et al., Comput. Fluids 139, 148--160 (2016; Zbl 1390.76653) Full Text: DOI arXiv
Gassner, Gregor J.; Winters, Andrew R.; Kopriva, David A. Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. (English) Zbl 1422.65280 J. Comput. Phys. 327, 39-66 (2016). MSC: 65M70 65M60 76D05 35Q31 PDFBibTeX XMLCite \textit{G. J. Gassner} et al., J. Comput. Phys. 327, 39--66 (2016; Zbl 1422.65280) Full Text: DOI arXiv
Rubio, Gonzalo; Fraysse, François; Kopriva, David A.; Valero, Eusebio Quasi-a priori truncation error estimation in the DGSEM. (English) Zbl 1325.65138 J. Sci. Comput. 64, No. 2, 425-455 (2015). MSC: 65M60 65M70 65M15 65M12 35L65 PDFBibTeX XMLCite \textit{G. Rubio} et al., J. Sci. Comput. 64, No. 2, 425--455 (2015; Zbl 1325.65138) Full Text: DOI Link
Winters, Andrew R.; Kopriva, David A. ALE-DGSEM approximation of wave reflection and transmission from a moving medium. (English) Zbl 1349.65494 J. Comput. Phys. 263, 233-267 (2014). MSC: 65M60 65M12 76Q05 78A40 78M22 PDFBibTeX XMLCite \textit{A. R. Winters} and \textit{D. A. Kopriva}, J. Comput. Phys. 263, 233--267 (2014; Zbl 1349.65494) Full Text: DOI
Kopriva, David A.; Gassner, Gregor J. An energy stable discontinuous Galerkin spectral element discretization for variable coefficient advection problems. (English) Zbl 1303.65086 SIAM J. Sci. Comput. 36, No. 4, A2076-A2099 (2014). MSC: 65M70 65M60 35L65 65M12 PDFBibTeX XMLCite \textit{D. A. Kopriva} and \textit{G. J. Gassner}, SIAM J. Sci. Comput. 36, No. 4, A2076--A2099 (2014; Zbl 1303.65086) Full Text: DOI
Winters, Andrew R.; Kopriva, David A. High-order local time stepping on moving DG spectral element meshes. (English) Zbl 1286.65128 J. Sci. Comput. 58, No. 1, 176-202 (2014). MSC: 65M60 35L65 65M70 PDFBibTeX XMLCite \textit{A. R. Winters} and \textit{D. A. Kopriva}, J. Sci. Comput. 58, No. 1, 176--202 (2014; Zbl 1286.65128) Full Text: DOI Link
Acosta Minoli, Cesar A.; Kopriva, David A. Boundary states at reflective moving boundaries. (English) Zbl 1250.78048 J. Comput. Phys. 231, No. 11, 4160-4184 (2012). MSC: 78M22 76Q05 65M70 35Q31 PDFBibTeX XMLCite \textit{C. A. Acosta Minoli} and \textit{D. A. Kopriva}, J. Comput. Phys. 231, No. 11, 4160--4184 (2012; Zbl 1250.78048) Full Text: DOI
Zhu, Wuming; Kopriva, David A. A spectral element approximation to price European options with one asset and stochastic volatility. (English) Zbl 1203.91307 J. Sci. Comput. 42, No. 3, 426-446 (2010). MSC: 91G60 65M60 65M70 91B70 91G20 PDFBibTeX XMLCite \textit{W. Zhu} and \textit{D. A. Kopriva}, J. Sci. Comput. 42, No. 3, 426--446 (2010; Zbl 1203.91307) Full Text: DOI
Zhu, Wuming; Kopriva, David A. A spectral element method to price European options. I. Single asset with and without jump diffusion. (English) Zbl 1203.91306 J. Sci. Comput. 39, No. 2, 222-243 (2009). MSC: 91G60 65M70 PDFBibTeX XMLCite \textit{W. Zhu} and \textit{D. A. Kopriva}, J. Sci. Comput. 39, No. 2, 222--243 (2009; Zbl 1203.91306) Full Text: DOI
Kopriva, David A.; Woodruff, Stephen L.; Hussaini, M. Y. Discontinuous spectral element approximation of Maxwell’s equations. (English) Zbl 0957.78023 Cockburn, Bernardo (ed.) et al., Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24-26, 1999. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 11, 355-361 (2000). MSC: 78M10 78A25 PDFBibTeX XMLCite \textit{D. A. Kopriva} et al., Lect. Notes Comput. Sci. Eng. 11, 355--361 (2000; Zbl 0957.78023)
Kopriva, David A. A staggered-grid multidomain spectral method for the compressible Navier-Stokes equations. (English) Zbl 0921.76121 J. Comput. Phys. 143, No. 1, 125-158 (1998). MSC: 76M25 76N10 65M70 PDFBibTeX XMLCite \textit{D. A. Kopriva}, J. Comput. Phys. 143, No. 1, 125--158 (1998; Zbl 0921.76121) Full Text: DOI
Kopriva, David A. Spectral solution of the viscous blunt-body problem. II: Multidomain approximation. (English) Zbl 0913.76068 AIAA J. 34, No. 3, 560-564 (1996). MSC: 76M25 76J20 PDFBibTeX XMLCite \textit{D. A. Kopriva}, AIAA J. 34, No. 3, 560--564 (1996; Zbl 0913.76068) Full Text: DOI
Kopriva, David A. Multidomain spectral solution of compressible viscous flows. (English) Zbl 0822.76071 J. Comput. Phys. 115, No. 1, 184-199 (1994). Reviewer: V.Subba Rao (Madras) MSC: 76M25 76N10 65M70 PDFBibTeX XMLCite \textit{D. A. Kopriva}, J. Comput. Phys. 115, No. 1, 184--199 (1994; Zbl 0822.76071) Full Text: DOI
Kopriva, David A. Spectral solution of the viscous blunt-body problem. (English) Zbl 0781.76067 AIAA J. 31, No. 7, 1235-1242 (1993). MSC: 76M25 76K05 65M70 PDFBibTeX XMLCite \textit{D. A. Kopriva}, AIAA J. 31, No. 7, 1235--1242 (1993; Zbl 0781.76067) Full Text: DOI
Kopriva, David A. Spectral solution of inviscid supersonic flows over wedges and axisymmetric cones. (English) Zbl 0753.76135 Comput. Fluids 21, No. 2, 247-266 (1992). MSC: 76M25 76J20 65N35 65M70 PDFBibTeX XMLCite \textit{D. A. Kopriva}, Comput. Fluids 21, No. 2, 247--266 (1992; Zbl 0753.76135) Full Text: DOI
Kopriva, David A. Multidomain spectral solution of the Euler gas-dynamics equations. (English) Zbl 0726.76077 J. Comput. Phys. 96, No. 2, 428-450 (1991). MSC: 76M25 76N15 76H05 76G25 76K05 PDFBibTeX XMLCite \textit{D. A. Kopriva}, J. Comput. Phys. 96, No. 2, 428--450 (1991; Zbl 0726.76077) Full Text: DOI
Panchang, V. G.; Kopriva, D. A. Solution of two-dimensional water-wave propagation problems by Chebyshev collocation. (English) Zbl 0692.76005 Math. Comput. Modelling 12, No. 6, 625-640 (1989). MSC: 76B15 35Q30 PDFBibTeX XMLCite \textit{V. G. Panchang} and \textit{D. A. Kopriva}, Math. Comput. Modelling 12, No. 6, 625--640 (1989; Zbl 0692.76005) Full Text: DOI
Kopriva, David A. Domain decomposition with both spectral and finite difference methods for the accurate computation of flows with shocks. (English) Zbl 0678.76059 Appl. Numer. Math. 6, No. 1-2, 141-151 (1989). MSC: 76L05 65N30 76M99 PDFBibTeX XMLCite \textit{D. A. Kopriva}, Appl. Numer. Math. 6, No. 1--2, 141--151 (1989; Zbl 0678.76059) Full Text: DOI
Kopriva, David A. A spectral multidomain method for the solution of hyperbolic systems. (English) Zbl 0601.76087 Appl. Numer. Math. 2, 221-241 (1986). MSC: 76N15 76M99 65N35 PDFBibTeX XMLCite \textit{D. A. Kopriva}, Appl. Numer. Math. 2, 221--241 (1986; Zbl 0601.76087) Full Text: DOI Link
Hussaini, M. Y.; Kopriva, D. A.; Salas, M. D.; Zang, T. A. Spectral methods for the Euler equations: II. Chebyshev methods and shock fitting. (English) Zbl 0587.76125 AIAA J. 23, 234-240 (1985). MSC: 76N15 76M99 76L05 65N35 PDFBibTeX XMLCite \textit{M. Y. Hussaini} et al., AIAA J. 23, 234--240 (1985; Zbl 0587.76125) Full Text: DOI
Hussaini, M. Y.; Kopriva, D. A.; Salas, M. D.; Zang, T. A. Spectral methods for the Euler equations. I. Fourier methods and shock capturing. (English) Zbl 0554.76060 AIAA J. 23, 64-70 (1985). MSC: 76N10 76M99 76L05 85A30 PDFBibTeX XMLCite \textit{M. Y. Hussaini} et al., AIAA J. 23, 64--70 (1985; Zbl 0554.76060) Full Text: DOI