David A. Kopriva

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 32

Top Topics

Wave Propagation

Theoretical Foundation

Navier Stokes Equations

Mesh Generation

Top Venues

J. Comput. Phys.

J. Sci. Comput.

Appl. Math. Comput.

Publications

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 (2024)
Esteban Ferrer, Gonzalo Rubio, Gerasimos Ntoukas, Wojciech Laskowski, O. A. Mariño, S. Colombo, Andrés Mateo-Gabín, H. Marbona, F. Manrique de Lara, D. 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 (2023)
Gustaaf B. Jacobs, Hareshram Natarajan, Pavel Popov, David A. Kopriva
Analysis of an Explicit, High-Order Semi-Lagrangian Nodal Method. CoRR (2022)
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 (2022)
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 (2022)
Esteban Ferrer, Gonzalo Rubio, Gerasimos Ntoukas, Wojciech Laskowski, O. A. Mariño, S. Colombo, Andrés Mateo-Gabín, F. Manrique de Lara, D. 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 (2022)
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 (2022)
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) (2021)
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) (2021)
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 (2021)
David A. Kopriva, Jan Nordström, Gregor J. Gassner
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation. CoRR (2021)
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 (2020)
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 (2020)
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 (2020)
David A. Kopriva, Gregor J. Gassner
A Split-Form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. CoRR (2020)
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 (2020)
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)
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) (2019)
Julian Marcon, David A. Kopriva, Spencer J. Sherwin, Joaquim Peiró
A high resolution PDE approach to quadrilateral mesh generation. J. Comput. Phys. 399 (2019)
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 (2019)
Julian Marcon, David A. Kopriva, Spencer J. Sherwin, Joaquim Peiró
A High Resolution PDE Approach to Quadrilateral Mesh Generation. CoRR (2019)
Julian Marcon, David A. Kopriva, Spencer J. Sherwin, Joaquim Peiró
Naturally curved quadrilateral mesh generation using an adaptive spectral element solver. CoRR (2019)
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 (2019)
David A. Kopriva
Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods. J. Sci. Comput. 76 (1) (2018)
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) (2018)
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) (2018)
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) (2018)
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 (2017)
David A. Kopriva, Jan Nordström, Gregor J. Gassner
Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. J. Sci. Comput. 72 (1) (2017)
David A. Kopriva, Gregor Gassner
Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable. Appl. Math. Comput. 272 (2016)
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 (2016)
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 (2016)
Gonzalo Rubio, François Fraysse, David A. Kopriva, Eusebio Valero
Quasi-A Priori Truncation Error Estimation in the DGSEM. J. Sci. Comput. 64 (2) (2015)
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)
Andrew R. Winters, David A. Kopriva
ALE-DGSEM approximation of wave reflection and transmission from a moving medium. J. Comput. Phys. 263 (2014)
Andrew R. Winters, David A. Kopriva
High-Order Local Time Stepping on Moving DG Spectral Element Meshes. J. Sci. Comput. 58 (1) (2014)
Pierre Garreau, David A. Kopriva
A Spectral Element Framework for Option Pricing Under General Exponential Lévy Processes. J. Sci. Comput. 57 (2) (2013)
Motoi Namihira, David A. Kopriva
Computation of the effects of uncertainty in volatility on option pricing and hedging. Int. J. Comput. Math. 89 (9) (2012)
Cesar A. Acosta Minoli, David A. Kopriva
Boundary states at reflective moving boundaries. J. Comput. Phys. 231 (11) (2012)
Cesar A. Acosta Minoli, David A. Kopriva
Discontinuous Galerkin spectral element approximations on moving meshes. J. Comput. Phys. 230 (5) (2011)
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) (2011)
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) (2010)
Wuming Zhu, David A. Kopriva
A Spectral Element Approximation to Price European Options with One Asset and Stochastic Volatility. J. Sci. Comput. 42 (3) (2010)
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) (2009)
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) (2009)
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) (2007)
David A. Kopriva
Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes. J. Sci. Comput. 26 (3) (2006)
D. Stanescu, David A. Kopriva, M. Yousuff Hussaini
Dispersion Analysis for Discontinuous Spectral Element Methods. J. Sci. Comput. 15 (2) (2000)