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ORCIDDavid 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, Gonzalo Rubio, Gerasimos Ntoukas, Wojciech Laskowski, Oscar A. Mariño, Stefano Colombo, Andrés Mateo-Gabín, H. Marbona, Fernando Manrique de Lara, David Huergo, Juan Manzanero, Andrés M. Rueda-Ramírez, David A. Kopriva, Eusebio Valero:
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, Gregor J. Gassner:
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, Gonzalo Rubio, Gerasimos Ntoukas, Wojciech Laskowski, Oscar A. Mariño, Stefano Colombo, Andrés Mateo-Gabín, Fernando Manrique de Lara, David Huergo, Juan Manzanero, Andrés M. Rueda-Ramírez, David A. Kopriva, Eusebio Valero:
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, Esteban Ferrer, David A. Kopriva, Gonzalo Rubio, Eusebio Valero:
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, Jan Nordström:
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, Gregor J. Gassner:
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, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer, Eusebio Valero:
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, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer, Eusebio Valero:
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, 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. 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, David A. Kopriva, Spencer J. Sherwin, Joaquim Peiró:
A high resolution PDE approach to quadrilateral mesh generation. J. Comput. Phys. 399 (2019) - [j26]David A. Kopriva, Florian Hindenlang, Thomas Bolemann, Gregor J. Gassner:
Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements. J. Sci. Comput. 79(3): 1389-1408 (2019) - [i4]Julian Marcon, David A. Kopriva, Spencer J. Sherwin, Joaquim Peiró:
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, David A. Kopriva, Spencer J. Sherwin, Joaquim Peiró:
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, Esteban Ferrer, Eusebio Valero, David A. Kopriva:
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, Andrew R. Winters, Florian Hindenlang, David A. Kopriva:
The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput. 77(1): 154-200 (2018) - [j22]Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva:
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, David A. Kopriva:
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, Jan Nordström, Gregor J. Gassner:
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, Andrew R. Winters, David A. Kopriva:
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, Andrew R. Winters, David A. Kopriva:
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, François Fraysse, David A. Kopriva, Eusebio Valero:
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, David A. Kopriva:
Boundary states at reflective moving boundaries. J. Comput. Phys. 231(11): 4160-4184 (2012) - 2011
- [j9]Cesar A. Acosta Minoli, David A. Kopriva:
Discontinuous Galerkin spectral element approximations on moving meshes. J. Comput. Phys. 230(5): 1876-1902 (2011) - [j8]Gregor Gassner, David A. Kopriva:
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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