Generalized Summation-by-Parts Operators for the Second Derivative with Variable Coefficients. - David C. Del Rey Fernández; David W. Zingg (CoRR, 2014)

A generalized framework for nodal first derivative summation-by-parts operators. - David C. Del Rey Fernández; Pieter D. Boom; David W. Zingg (J. Comput. Phys., 2014)

Generalized Summation-by-Parts Operators for the Second Derivative. - David C. Del Rey Fernández; David W. Zingg (SIAM J. Sci. Comput., 2015)

Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements. - Jason E. Hicken; David C. Del Rey Fernández; David W. Zingg (SIAM J. Sci. Comput., 2016)

Corner-corrected diagonal-norm summation-by-parts operators for the first derivative with increased order of accuracy. - David C. Del Rey Fernández; Pieter D. Boom; David W. Zingg (J. Comput. Phys., 2017)

Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements. - Jared Crean; Jason E. Hicken; David C. Del Rey Fernández; David W. Zingg; Mark H. Carpenter (J. Comput. Phys., 2018)

Simultaneous Approximation Terms for Multi-dimensional Summation-by-Parts Operators. - David C. Del Rey Fernández; Jason E. Hicken; David W. Zingg (J. Sci. Comput., 2018)

Conservative and Stable Degree Preserving SBP Operators for Non-conforming Meshes. - Lucas Friedrich; David C. Del Rey Fernández; Andrew R. Winters; Gregor J. Gassner; David W. Zingg; Jason E. Hicken (J. Sci. Comput., 2018)

An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property. - Lucas Friedrich; Andrew R. Winters; David C. Del Rey Fernández; Gregor J. Gassner; Matteo Parsani; Mark H. Carpenter (J. Sci. Comput., 2018)

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations. - David C. Del Rey Fernández; Mark H. Carpenter; Lisandro Dalcín; L. Fredrich; Diego Rojas; Andrew R. Winters; Gregor J. Gassner; Stefano Zampini; Matteo Parsani (CoRR, 2019)

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations. - David C. Del Rey Fernández; Mark H. Carpenter; Lisandro Dalcín; Lucas Friedrich; Andrew R. Winters; Gregor J. Gassner; Matteo Parsani (CoRR, 2019)

Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations. - David C. Del Rey Fernández; Mark H. Carpenter; Lisandro Dalcín; Stefano Zampini; Matteo Parsani (CoRR, 2019)

Optimized geometrical metrics satisfying free-stream preservation. - Irving Reyna Nolasco; Lisandro Dalcín; David C. Del Rey Fernández; Stefano Zampini; Matteo Parsani (CoRR, 2019)

On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navie-Stokes equations. - Diego Rojas; Radouan Boukharfane; Lisandro Dalcín; David C. Del Rey Fernández; Hendrik Ranocha; David E. Keyes; Matteo Parsani (CoRR, 2019)

SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids. - Longfei Gao; David C. Del Rey Fernández; Mark H. Carpenter; David E. Keyes (J. Comput. Appl. Math., 2019)

Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: Adiabatic wall and heat entropy transfer. - Lisandro Dalcín; Diego Rojas; Stefano Zampini; David C. Del Rey Fernández; Mark H. Carpenter; Matteo Parsani (J. Comput. Phys., 2019)

Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates. - David C. Del Rey Fernández; Jared Crean; Mark H. Carpenter; Jason E. Hicken (J. Comput. Phys., 2019)

Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids. - Nail K. Yamaleev; David C. Del Rey Fernández; Jialin Lou; Mark H. Carpenter (J. Comput. Phys., 2019)

Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates. - David C. Del Rey Fernández; Pieter D. Boom; Mark H. Carpenter; David W. Zingg (J. Sci. Comput., 2019)

Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws. - Lucas Friedrich; Gero Schnücke; Andrew R. Winters; David C. Del Rey Fernández; Gregor J. Gassner; Mark H. Carpenter (J. Sci. Comput., 2019)

Efficient Entropy Stable Gauss Collocation Methods. - Jesse Chan; David C. Del Rey Fernández; Mark H. Carpenter (SIAM J. Sci. Comput., 2019)

High-order accurate entropy-stable discontinuous collocated Galerkin methods with the summation-by-parts property for compressible CFD frameworks: Scalable SSDC algorithms and flow solver. - Matteo Parsani; Radouan Boukharfane; Irving Reyna Nolasco; David C. Del Rey Fernández; Stefano Zampini; Bilel Hadri; Lisandro Dalcín (J. Comput. Phys., 2021)

On the robustness and performance of entropy stable collocated discontinuous Galerkin methods. - Diego Rojas; Radouan Boukharfane; Lisandro Dalcín; David C. Del Rey Fernández; Hendrik Ranocha; David E. Keyes; Matteo Parsani (J. Comput. Phys., 2021)

Mortar-based Entropy-Stable Discontinuous Galerkin Methods on Non-conforming Quadrilateral and Hexahedral Meshes. - Jesse Chan; Mario J. Bencomo; David C. Del Rey Fernández (J. Sci. Comput., 2021)

Provably stable flux reconstruction high-order methods on curvilinear elements. - Alexander Cicchino; David C. Del Rey Fernández; Siva Nadarajah; Jesse Chan; Mark H. Carpenter (J. Comput. Phys., 2022)

Nonlinearly stable flux reconstruction high-order methods in split form. - Alexander Cicchino; Siva Nadarajah; David C. Del Rey Fernández (J. Comput. Phys., 2022)

CUR Decomposition for Scalable Rank-Adaptive Reduced-Order Modeling of Nonlinear Stochastic PDEs with Time-Dependent Bases. - Michael Donello; G. Palkar; Mohammad Hossein Naderi; David C. Del Rey Fernández; Hessam Babaee (CoRR, 2023)

Strictly Uniform Exponential Decay of the Mixed-FEM Discretization for the Wave Equation With Boundary Dissipation. - David C. Del Rey Fernández; Luis Alejandro Mora; Kirsten Morris 001 (IEEE Control. Syst. Lett., 2023)

Fully-discrete provably Lyapunov consistent discretizations for convection-diffusion-reaction PDE systems. - Rasha Al Jahdali; David C. Del Rey Fernández; Lisandro Dalcín; Matteo Parsani (CoRR, 2024)

Relative Efficiency of Finite-Difference and Discontinuous Spectral-Element Summation-by-Parts Methods on Distorted Meshes. - Pieter D. Boom; David C. Del Rey Fernández; David W. Zingg (J. Sci. Comput., 2025)