David A. Kopriva

Orcid: 0000-0002-8076-0856

According to our database1, David A. Kopriva authored at least 41 papers between 2000 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

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

Analysis of an Explicit, High-Order Semi-Lagrangian Nodal Method.
CoRR, 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

A high resolution PDE approach to quadrilateral mesh generation.
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

The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations.
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
Quasi-A Priori Truncation Error Estimation in the DGSEM.
J. Sci. Comput., 2015

2014
An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems.
SIAM J. Sci. Comput., 2014

High-Order Local Time Stepping on Moving DG Spectral Element Meshes.
J. Sci. Comput., 2014

ALE-DGSEM approximation of wave reflection and transmission from a moving medium.
J. Comput. Phys., 2014

2013
A Spectral Element Framework for Option Pricing Under General Exponential Lévy Processes.
J. Sci. Comput., 2013

2012
Boundary states at reflective moving boundaries.
J. Comput. Phys., 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

Discontinuous Galerkin spectral element approximations on moving meshes.
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
Dispersion Analysis for Discontinuous Spectral Element Methods.
J. Sci. Comput., 2000


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