David A. Kopriva
Orcid: 0000-0002-8076-0856
According to our database1,
David A. Kopriva
authored at least 43 papers
between 2000 and 2025.
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Bibliography
2025
Energy bounds for discontinuous Galerkin spectral element approximations of well-posed overset grid problems for hyperbolic systems.
J. Comput. Phys., 2025
2024
2023
HORSES3D: A high-order discontinuous Galerkin solver for flow simulations and multi-physics applications.
Comput. Phys. Commun., June, 2023
2022
On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation.
J. Comput. Phys., 2022
On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws.
J. Comput. Phys., 2022
HORSES3D: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications.
CoRR, 2022
2021
Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps.
J. Sci. Comput., 2021
A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems.
J. Sci. Comput., 2021
A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations.
J. Comput. Phys., 2021
2020
Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system.
J. Comput. Phys., 2020
An entropy-stable discontinuous Galerkin approximation for the incompressible Navier-Stokes equations with variable density and artificial compressibility.
J. Comput. Phys., 2020
A free-energy stable nodal discontinuous Galerkin approximation with summation-by-parts property for the Cahn-Hilliard equation.
J. Comput. Phys., 2020
Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations.
CoRR, 2020
2019
Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements.
J. Sci. Comput., 2019
J. Comput. Phys., 2019
Naturally curved quadrilateral mesh generation using an adaptive spectral element solver.
CoRR, 2019
Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes equations with variable density and artificial compressibility.
CoRR, 2019
2018
Insights on Aliasing Driven Instabilities for Advection Equations with Application to Gauss-Lobatto Discontinuous Galerkin Methods.
J. Sci. Comput., 2018
Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods.
J. Sci. Comput., 2018
Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations.
J. Sci. Comput., 2018
J. Sci. Comput., 2018
2017
Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems.
J. Sci. Comput., 2017
An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry.
J. Comput. Phys., 2017
2016
Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations.
J. Comput. Phys., 2016
Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable.
Appl. Math. Comput., 2016
A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations.
Appl. Math. Comput., 2016
2015
2014
An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems.
SIAM J. Sci. Comput., 2014
J. Sci. Comput., 2014
J. Comput. Phys., 2014
2013
A Spectral Element Framework for Option Pricing Under General Exponential Lévy Processes.
J. Sci. Comput., 2013
2012
Computation of the effects of uncertainty in volatility on option pricing and hedging.
Int. J. Comput. Math., 2012
2011
A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods.
SIAM J. Sci. Comput., 2011
J. Comput. Phys., 2011
2010
A Spectral Element Approximation to Price European Options with One Asset and Stochastic Volatility.
J. Sci. Comput., 2010
On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods.
J. Sci. Comput., 2010
2009
A Spectral Element Approximation to Price European Options. II. The Black-Scholes Model with Two Underlying Assets.
J. Sci. Comput., 2009
A Spectral Element Method to Price European Options. I. Single Asset with and without Jump Diffusion.
J. Sci. Comput., 2009
2007
A Conservative Isothermal Wall Boundary Condition for the Compressible Navier-Stokes Equations.
J. Sci. Comput., 2007
2006
Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes.
J. Sci. Comput., 2006
2000
J. Sci. Comput., 2000