David A. Kopriva

54 papers Journal 54

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Energy bounds for discontinuous Galerkin spectral element approximations of well-posed overset grid problems for hyperbolic systems. J. Comput. Phys. David A. Kopriva, Andrew R. Winters, Jan Nordström
2025	J	`jnl`	Global Bounds for the Error in Solutions of Linear Hyperbolic Systems due to Inaccurate Boundary Geometry. CoRR David A. Kopriva, Andrew R. Winters, Jan Nordström
2025	J	`jnl`	Mimetic Metrics for the DGSEM. J. Sci. Comput. Daniel Bach, Andrés M. Rueda-Ramírez, David A. Kopriva, Gregor J. Gassner
2025	J	`jnl`	Numerical boundary flux functions that give provable bounds for nonlinear initial boundary value problems with open boundaries. CoRR Andrew R. Winters, David A. Kopriva, Jan Nordström
2024	J	`jnl`	Energy Bounds for Discontinuous Galerkin Spectral Element Approximations of Well-Posed Overset Grid Problems for Hyperbolic Systems. CoRR David A. Kopriva, Andrew R. Winters, Jan Nordström
2024	J	`jnl`	HOHQMesh: An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements. J. Open Source Softw. David A. Kopriva, Andrew R. Winters, Michael Schlottke-Lakemper, Joseph A. Schoonover, Hendrik Ranocha
2024	J	`jnl`	Mimetic Metrics for the DGSEM. CoRR Daniel Bach, Andrés M. Rueda-Ramírez, David A. Kopriva, Gregor J. Gassner
2023	J	`jnl`	HORSES3D: A high-order discontinuous Galerkin solver for flow simulations and multi-physics applications. Comput. Phys. Commun. 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
2022	J	`jnl`	Analysis of an Explicit, High-Order Semi-Lagrangian Nodal Method. CoRR Gustaaf B. Jacobs, Hareshram Natarajan, Pavel Popov, David A. Kopriva
2022	J	`jnl`	HORSES3D: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications. CoRR 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
2022	J	`jnl`	On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws. CoRR David A. Kopriva, Gregor J. Gassner, Jan Nordström
2022	J	`jnl`	On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws. J. Comput. Phys. David A. Kopriva, Gregor J. Gassner, Jan Nordström
2022	J	`jnl`	On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation. J. Comput. Phys. David A. Kopriva, Jan Nordström, Gregor J. Gassner
2021	J	`jnl`	A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. J. Sci. Comput. David A. Kopriva, Gregor J. Gassner
2021	J	`jnl`	A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations. J. Comput. Phys. Andrés M. Rueda-Ramírez, Esteban Ferrer, David A. Kopriva, Gonzalo Rubio, Eusebio Valero
2021	J	`jnl`	On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems: Well-Posedness and Conservation. CoRR David A. Kopriva, Jan Nordström, Gregor J. Gassner
2021	J	`jnl`	Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. J. Sci. Comput. David A. Kopriva, Gregor J. Gassner, Jan Nordström
2020	J	`jnl`	A Split-Form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. CoRR David A. Kopriva, Gregor J. Gassner
2020	J	`jnl`	A free-energy stable nodal discontinuous Galerkin approximation with summation-by-parts property for the Cahn-Hilliard equation. J. Comput. Phys. Juan Manzanero, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer, Eusebio Valero
2020	J	`jnl`	An entropy-stable discontinuous Galerkin approximation for the incompressible Navier-Stokes equations with variable density and artificial compressibility. J. Comput. Phys. Juan Manzanero, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer, Eusebio Valero
2020	J	`jnl`	Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations. CoRR Andrew R. Winters, David A. Kopriva, Gregor J. Gassner, Florian Hindenlang
2020	J	`jnl`	Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system. J. Comput. Phys. Juan Manzanero, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer, Eusebio Valero
2020	J	`jnl`	Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. CoRR David A. Kopriva, Gregor J. Gassner, Jan Nordström
2019	J	`jnl`	A High Resolution PDE Approach to Quadrilateral Mesh Generation. CoRR Julian Marcon, David A. Kopriva, Spencer J. Sherwin, Joaquim Peiró
2019	J	`jnl`	A high resolution PDE approach to quadrilateral mesh generation. J. Comput. Phys. Julian Marcon, David A. Kopriva, Spencer J. Sherwin, Joaquim Peiró
2019	J	`jnl`	Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes equations with variable density and artificial compressibility. CoRR Juan Manzanero, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer, Eusebio Valero
2019	J	`jnl`	Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system. CoRR Juan Manzanero, Gonzalo Rubio, David A. Kopriva, Esteban Ferrer, Eusebio Valero
2019	J	`jnl`	Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements. J. Sci. Comput. David A. Kopriva, Florian Hindenlang, Thomas Bolemann, Gregor J. Gassner
2019	J	`jnl`	Naturally curved quadrilateral mesh generation using an adaptive spectral element solver. CoRR Julian Marcon, David A. Kopriva, Spencer J. Sherwin, Joaquim Peiró
2018	J	`jnl`	Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput. Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva
2018	J	`jnl`	Insights on Aliasing Driven Instabilities for Advection Equations with Application to Gauss-Lobatto Discontinuous Galerkin Methods. J. Sci. Comput. Juan Manzanero, Gonzalo Rubio, Esteban Ferrer, Eusebio Valero, David A. Kopriva
2018	J	`jnl`	Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods. J. Sci. Comput. David A. Kopriva
2018	J	`jnl`	The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. J. Sci. Comput. Gregor J. Gassner, Andrew R. Winters, Florian Hindenlang, David A. Kopriva
2017	J	`jnl`	An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry. J. Comput. Phys. Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, David A. Kopriva
2017	J	`jnl`	Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. J. Sci. Comput. David A. Kopriva, Jan Nordström, Gregor J. Gassner
2016	J	`jnl`	A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. Appl. Math. Comput. Gregor Gassner, Andrew R. Winters, David A. Kopriva
2016	J	`jnl`	Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable. Appl. Math. Comput. David A. Kopriva, Gregor Gassner
2016	J	`jnl`	Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. J. Comput. Phys. Gregor J. Gassner, Andrew R. Winters, David A. Kopriva
2015	J	`jnl`	Quasi-A Priori Truncation Error Estimation in the DGSEM. J. Sci. Comput. Gonzalo Rubio, François Fraysse, David A. Kopriva, Eusebio Valero
2014	J	`jnl`	ALE-DGSEM approximation of wave reflection and transmission from a moving medium. J. Comput. Phys. Andrew R. Winters, David A. Kopriva
2014	J	`jnl`	An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems. SIAM J. Sci. Comput. David A. Kopriva, Gregor Gassner
2014	J	`jnl`	High-Order Local Time Stepping on Moving DG Spectral Element Meshes. J. Sci. Comput. Andrew R. Winters, David A. Kopriva
2013	J	`jnl`	A Spectral Element Framework for Option Pricing Under General Exponential Lévy Processes. J. Sci. Comput. Pierre Garreau, David A. Kopriva
2012	J	`jnl`	Boundary states at reflective moving boundaries. J. Comput. Phys. Cesar A. Acosta Minoli, David A. Kopriva
2012	J	`jnl`	Computation of the effects of uncertainty in volatility on option pricing and hedging. Int. J. Comput. Math. Motoi Namihira, David A. Kopriva
2011	J	`jnl`	A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods. SIAM J. Sci. Comput. Gregor Gassner, David A. Kopriva
2011	J	`jnl`	Discontinuous Galerkin spectral element approximations on moving meshes. J. Comput. Phys. Cesar A. Acosta Minoli, David A. Kopriva
2010	J	`jnl`	A Spectral Element Approximation to Price European Options with One Asset and Stochastic Volatility. J. Sci. Comput. Wuming Zhu, David A. Kopriva
2010	J	`jnl`	On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods. J. Sci. Comput. David A. Kopriva, Gregor Gassner
2009	J	`jnl`	A Spectral Element Approximation to Price European Options. II. The Black-Scholes Model with Two Underlying Assets. J. Sci. Comput. Wuming Zhu, David A. Kopriva
2009	J	`jnl`	A Spectral Element Method to Price European Options. I. Single Asset with and without Jump Diffusion. J. Sci. Comput. Wuming Zhu, David A. Kopriva
2007	J	`jnl`	A Conservative Isothermal Wall Boundary Condition for the Compressible Navier-Stokes Equations. J. Sci. Comput. Gustaaf B. Jacobs, David A. Kopriva, Farzad Mashayek
2006	J	`jnl`	Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes. J. Sci. Comput. David A. Kopriva
2000	J	`jnl`	Dispersion Analysis for Discontinuous Spectral Element Methods. J. Sci. Comput. D. Stanescu, David A. Kopriva, M. Yousuff Hussaini