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David A. Kopriva
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2020 – today
- 2025
- [j37]David A. Kopriva, Andrew R. Winters
, Jan Nordström:
Energy bounds for discontinuous Galerkin spectral element approximations of well-posed overset grid problems for hyperbolic systems. J. Comput. Phys. 520: 113508 (2025) - 2024
- [i13]David A. Kopriva, Andrew R. Winters, Jan Nordström:
Energy Bounds for Discontinuous Galerkin Spectral Element Approximations of Well-Posed Overset Grid Problems for Hyperbolic Systems. CoRR abs/2405.04668 (2024) - [i12]Daniel Bach, Andrés M. Rueda-Ramírez, David A. Kopriva, Gregor J. Gassner:
Mimetic Metrics for the DGSEM. CoRR abs/2410.14502 (2024) - 2023
- [j36]Esteban Ferrer
HORSES3D: A high-order discontinuous Galerkin solver for flow simulations and multi-physics applications. Comput. Phys. Commun. 287: 108700 (2023) - 2022
- [j35]David A. Kopriva, Jan Nordström
On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation. J. Comput. Phys. 448: 110732 (2022) - [j34]David A. Kopriva, Gregor J. Gassner, Jan Nordström
On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws. J. Comput. Phys. 471: 111620 (2022) - [i11]David A. Kopriva, Gregor J. Gassner, Jan Nordström:
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws. CoRR abs/2203.11149 (2022) - [i10]Esteban Ferrer
HORSES3D: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications. CoRR abs/2206.09733 (2022) - [i9]Gustaaf B. Jacobs, Hareshram Natarajan, Pavel Popov, David A. Kopriva:
Analysis of an Explicit, High-Order Semi-Lagrangian Nodal Method. CoRR abs/2212.11407 (2022) - 2021
- [j33]Andrés M. Rueda-Ramírez
A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations. J. Comput. Phys. 426: 109953 (2021) - [j32]David A. Kopriva, Gregor J. Gassner
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. J. Sci. Comput. 88(1): 3 (2021) - [j31]David A. Kopriva
A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. J. Sci. Comput. 89(1): 2 (2021) - [i8]David A. Kopriva, Jan Nordström, Gregor J. Gassner:
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation. CoRR abs/2105.04664 (2021) - 2020
- [j30]Juan Manzanero
A free-energy stable nodal discontinuous Galerkin approximation with summation-by-parts property for the Cahn-Hilliard equation. J. Comput. Phys. 403 (2020) - [j29]Juan Manzanero
An entropy-stable discontinuous Galerkin approximation for the incompressible Navier-Stokes equations with variable density and artificial compressibility. J. Comput. Phys. 408: 109241 (2020) - [j28]Juan Manzanero
Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system. J. Comput. Phys. 408: 109363 (2020) - [i7]Andrew R. Winters, David A. Kopriva, Gregor J. Gassner, Florian Hindenlang:
Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations. CoRR abs/2005.02317 (2020) - [i6]David A. Kopriva, Gregor J. Gassner, Jan Nordström:
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. CoRR abs/2011.11746 (2020) - [i5]David A. Kopriva, Gregor J. Gassner:
A Split-Form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. CoRR abs/2012.06510 (2020)
2010 – 2019
- 2019
- [j27]Julian Marcon
A high resolution PDE approach to quadrilateral mesh generation. J. Comput. Phys. 399 (2019) - [j26]David A. Kopriva
Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements. J. Sci. Comput. 79(3): 1389-1408 (2019) - [i4]Julian Marcon
A High Resolution PDE Approach to Quadrilateral Mesh Generation. CoRR abs/1901.02405 (2019) - [i3]Juan Manzanero, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer, Eusebio Valero:
Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes equations with variable density and artificial compressibility. CoRR abs/1907.05976 (2019) - [i2]Julian Marcon
Naturally curved quadrilateral mesh generation using an adaptive spectral element solver. CoRR abs/1908.04272 (2019) - [i1]Juan Manzanero, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer, Eusebio Valero:
Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system. CoRR abs/1910.11252 (2019) - 2018
- [j25]Juan Manzanero, Gonzalo Rubio
Insights on Aliasing Driven Instabilities for Advection Equations with Application to Gauss-Lobatto Discontinuous Galerkin Methods. J. Sci. Comput. 75(3): 1262-1281 (2018) - [j24]David A. Kopriva
Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods. J. Sci. Comput. 76(1): 426-442 (2018) - [j23]Gregor J. Gassner
The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput. 77(1): 154-200 (2018) - [j22]Gregor J. Gassner
Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput. 77(1): 201-203 (2018) - 2017
- [j21]Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner
An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry. J. Comput. Phys. 340: 200-242 (2017) - [j20]David A. Kopriva
Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. J. Sci. Comput. 72(1): 314-330 (2017) - 2016
- [j19]David A. Kopriva, Gregor Gassner
Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable. Appl. Math. Comput. 272: 274-290 (2016) - [j18]Gregor Gassner
A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. Appl. Math. Comput. 272: 291-308 (2016) - [j17]Gregor J. Gassner
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. J. Comput. Phys. 327: 39-66 (2016) - 2015
- [j16]Gonzalo Rubio
Quasi-A Priori Truncation Error Estimation in the DGSEM. J. Sci. Comput. 64(2): 425-455 (2015) - 2014
- [j15]Andrew R. Winters, David A. Kopriva:
ALE-DGSEM approximation of wave reflection and transmission from a moving medium. J. Comput. Phys. 263: 233-267 (2014) - [j14]Andrew R. Winters, David A. Kopriva:
High-Order Local Time Stepping on Moving DG Spectral Element Meshes. J. Sci. Comput. 58(1): 176-202 (2014) - [j13]David A. Kopriva, Gregor Gassner
An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems. SIAM J. Sci. Comput. 36(4) (2014) - 2013
- [j12]Pierre Garreau, David A. Kopriva:
A Spectral Element Framework for Option Pricing Under General Exponential Lévy Processes. J. Sci. Comput. 57(2): 390-413 (2013) - 2012
- [j11]Motoi Namihira, David A. Kopriva:
Computation of the effects of uncertainty in volatility on option pricing and hedging. Int. J. Comput. Math. 89(9): 1281-1302 (2012) - [j10]Cesar A. Acosta Minoli
Boundary states at reflective moving boundaries. J. Comput. Phys. 231(11): 4160-4184 (2012) - 2011
- [j9]Cesar A. Acosta Minoli
Discontinuous Galerkin spectral element approximations on moving meshes. J. Comput. Phys. 230(5): 1876-1902 (2011) - [j8]Gregor Gassner
A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods. SIAM J. Sci. Comput. 33(5): 2560-2579 (2011) - 2010
- [j7]Wuming Zhu, David A. Kopriva:
A Spectral Element Approximation to Price European Options with One Asset and Stochastic Volatility. J. Sci. Comput. 42(3): 426-446 (2010) - [j6]David A. Kopriva, Gregor Gassner
On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods. J. Sci. Comput. 44(2): 136-155 (2010)
2000 – 2009
- 2009
- [j5]Wuming Zhu, David A. Kopriva:
A Spectral Element Method to Price European Options. I. Single Asset with and without Jump Diffusion. J. Sci. Comput. 39(2): 222-243 (2009) - [j4]Wuming Zhu, David A. Kopriva:
A Spectral Element Approximation to Price European Options. II. The Black-Scholes Model with Two Underlying Assets. J. Sci. Comput. 39(3): 323-339 (2009) - 2007
- [j3]Gustaaf B. Jacobs, David A. Kopriva, Farzad Mashayek:
A Conservative Isothermal Wall Boundary Condition for the Compressible Navier-Stokes Equations. J. Sci. Comput. 30(2): 177-192 (2007) - 2006
- [j2]David A. Kopriva:
Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes. J. Sci. Comput. 26(3): 301-327 (2006) - 2000
- [j1]D. Stanescu, David A. Kopriva, M. Yousuff Hussaini:
Dispersion Analysis for Discontinuous Spectral Element Methods. J. Sci. Comput. 15(2): 149-171 (2000)
Coauthor Index
aka: Gregor J. Gassner
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