Dispersion Analysis for Discontinuous Spectral Element Methods. - D. Stanescu; David A. Kopriva; M. Yousuff Hussaini (J. Sci. Comput., 2000)

Metric Identities and the Discontinuous Spectral Element Method on Curvilinear Meshes. - David A. Kopriva (J. Sci. Comput., 2006)

A Conservative Isothermal Wall Boundary Condition for the Compressible Navier-Stokes Equations. - Gustaaf B. Jacobs; David A. Kopriva; Farzad Mashayek (J. Sci. Comput., 2007)

A Spectral Element Method to Price European Options. I. Single Asset with and without Jump Diffusion. - Wuming Zhu; David A. Kopriva (J. Sci. Comput., 2009)

A Spectral Element Approximation to Price European Options. II. The Black-Scholes Model with Two Underlying Assets. - Wuming Zhu; David A. Kopriva (J. Sci. Comput., 2009)

On the Quadrature and Weak Form Choices in Collocation Type Discontinuous Galerkin Spectral Element Methods. - David A. Kopriva; Gregor Gassner (J. Sci. Comput., 2010)

A Spectral Element Approximation to Price European Options with One Asset and Stochastic Volatility. - Wuming Zhu; David A. Kopriva (J. Sci. Comput., 2010)

Discontinuous Galerkin spectral element approximations on moving meshes. - Cesar A. Acosta Minoli; David A. Kopriva (J. Comput. Phys., 2011)

A Comparison of the Dispersion and Dissipation Errors of Gauss and Gauss-Lobatto Discontinuous Galerkin Spectral Element Methods. - Gregor Gassner; David A. Kopriva (SIAM J. Sci. Comput., 2011)

Computation of the effects of uncertainty in volatility on option pricing and hedging. - Motoi Namihira; David A. Kopriva (Int. J. Comput. Math., 2012)

Boundary states at reflective moving boundaries. - Cesar A. Acosta Minoli; David A. Kopriva (J. Comput. Phys., 2012)

A Spectral Element Framework for Option Pricing Under General Exponential Lévy Processes. - Pierre Garreau; David A. Kopriva (J. Sci. Comput., 2013)

ALE-DGSEM approximation of wave reflection and transmission from a moving medium. - Andrew R. Winters; David A. Kopriva (J. Comput. Phys., 2014)

High-Order Local Time Stepping on Moving DG Spectral Element Meshes. - Andrew R. Winters; David A. Kopriva (J. Sci. Comput., 2014)

An Energy Stable Discontinuous Galerkin Spectral Element Discretization for Variable Coefficient Advection Problems. - David A. Kopriva; Gregor Gassner (SIAM J. Sci. Comput., 2014)

Quasi-A Priori Truncation Error Estimation in the DGSEM. - Gonzalo Rubio; François Fraysse; David A. Kopriva; Eusebio Valero (J. Sci. Comput., 2015)

A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. - Gregor Gassner; Andrew R. Winters; David A. Kopriva (Appl. Math. Comput., 2016)

Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable. - David A. Kopriva; Gregor Gassner (Appl. Math. Comput., 2016)

Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations. - Gregor J. Gassner; Andrew R. Winters; David A. Kopriva (J. Comput. Phys., 2016)

An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry. - Niklas Wintermeyer; Andrew R. Winters; Gregor J. Gassner; David A. Kopriva (J. Comput. Phys., 2017)

Error Boundedness of Discontinuous Galerkin Spectral Element Approximations of Hyperbolic Problems. - David A. Kopriva; Jan Nordström; Gregor J. Gassner (J. Sci. Comput., 2017)

The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. - Gregor J. Gassner; Andrew R. Winters; Florian Hindenlang; David A. Kopriva (J. Sci. Comput., 2018)

Correction to: The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations. - Gregor J. Gassner; Andrew R. Winters; Florian Hindenlang; David A. Kopriva (J. Sci. Comput., 2018)

Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods. - David A. Kopriva (J. Sci. Comput., 2018)

Insights on Aliasing Driven Instabilities for Advection Equations with Application to Gauss-Lobatto Discontinuous Galerkin Methods. - Juan Manzanero; Gonzalo Rubio; Esteban Ferrer 001; Eusebio Valero; David A. Kopriva (J. Sci. Comput., 2018)

Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes equations with variable density and artificial compressibility. - Juan Manzanero; Gonzalo Rubio; David A. Kopriva; Esteban Ferrer 001; Eusebio Valero (CoRR, 2019)

Naturally curved quadrilateral mesh generation using an adaptive spectral element solver. - Julian Marcon; David A. Kopriva; Spencer J. Sherwin; Joaquim Peiró (CoRR, 2019)

A high resolution PDE approach to quadrilateral mesh generation. - Julian Marcon; David A. Kopriva; Spencer J. Sherwin; Joaquim Peiró (J. Comput. Phys., 2019)

Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements. - David A. Kopriva; Florian Hindenlang; Thomas Bolemann; Gregor J. Gassner (J. Sci. Comput., 2019)

Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations. - Andrew R. Winters; David A. Kopriva; Gregor J. Gassner; Florian Hindenlang (CoRR, 2020)

A free-energy stable nodal discontinuous Galerkin approximation with summation-by-parts property for the Cahn-Hilliard equation. - Juan Manzanero; Gonzalo Rubio; David A. Kopriva; Esteban Ferrer 001; Eusebio Valero (J. Comput. Phys., 2020)

An entropy-stable discontinuous Galerkin approximation for the incompressible Navier-Stokes equations with variable density and artificial compressibility. - Juan Manzanero; Gonzalo Rubio; David A. Kopriva; Esteban Ferrer 001; Eusebio Valero (J. Comput. Phys., 2020)

Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system. - Juan Manzanero; Gonzalo Rubio; David A. Kopriva; Esteban Ferrer 001; Eusebio Valero (J. Comput. Phys., 2020)

A statically condensed discontinuous Galerkin spectral element method on Gauss-Lobatto nodes for the compressible Navier-Stokes equations. - Andrés M. Rueda-Ramírez; Esteban Ferrer 001; David A. Kopriva; Gonzalo Rubio; Eusebio Valero (J. Comput. Phys., 2021)

A Split-form, Stable CG/DG-SEM for Wave Propagation Modeled by Linear Hyperbolic Systems. - David A. Kopriva; Gregor J. Gassner (J. Sci. Comput., 2021)

Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. - David A. Kopriva; Gregor J. Gassner; Jan Nordström (J. Sci. Comput., 2021)

HORSES3D: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications. - Esteban Ferrer 001; 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; et al. (CoRR, 2022)

Analysis of an Explicit, High-Order Semi-Lagrangian Nodal Method. - Gustaaf B. Jacobs; Hareshram Natarajan; Pavel Popov; David A. Kopriva (CoRR, 2022)

On the theoretical foundation of overset grid methods for hyperbolic problems II: Entropy bounded formulations for nonlinear conservation laws. - David A. Kopriva; Gregor J. Gassner; Jan Nordström (J. Comput. Phys., 2022)

On the theoretical foundation of overset grid methods for hyperbolic problems: Well-posedness and conservation. - David A. Kopriva; Jan Nordström; Gregor J. Gassner (J. Comput. Phys., 2022)

HORSES3D: A high-order discontinuous Galerkin solver for flow simulations and multi-physics applications. - Esteban Ferrer 001; 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; et al. (Comput. Phys. Commun., 2023)

Mimetic Metrics for the DGSEM. - Daniel Bach; Andrés M. Rueda-Ramírez; David A. Kopriva; Gregor J. Gassner (CoRR, 2024)

HOHQMesh: An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements. - David A. Kopriva; Andrew R. Winters; Michael Schlottke-Lakemper; Joseph A. Schoonover; Hendrik Ranocha (J. Open Source Softw., 2024)

Energy bounds for discontinuous Galerkin spectral element approximations of well-posed overset grid problems for hyperbolic systems. - David A. Kopriva; Andrew R. Winters; Jan Nordström (J. Comput. Phys., 2025)

Global Bounds for the Error in Solutions of Linear Hyperbolic Systems due to Inaccurate Boundary Geometry. - David A. Kopriva; Andrew R. Winters; Jan Nordström (CoRR, 2025)