A p-adaptive LCP formulation for the compressible Navier-Stokes equations. - Jean Sébastien Cagnone; Brian C. Vermeire; Siva K. Nadarajah (J. Comput. Phys., 2013)

Heterogeneous Computing on Mixed Unstructured Grids with PyFR. - Freddie D. Witherden; Brian C. Vermeire; Peter E. Vincent (CoRR, 2014)

Adaptive IMEX schemes for high-order unstructured methods. - Brian C. Vermeire; Siva K. Nadarajah (J. Comput. Phys., 2015)

Towards green aviation with python at petascale. - Peter E. Vincent; Freddie D. Witherden; Brian C. Vermeire; Jin Seok Park; Arvind Iyer (SC, 2016)

On the properties of energy stable flux reconstruction schemes for implicit large eddy simulation. - Brian C. Vermeire; Peter E. Vincent (J. Comput. Phys., 2016)

On the utility of GPU accelerated high-order methods for unsteady flow simulations: A comparison with industry-standard tools. - Brian C. Vermeire; Freddie D. Witherden; Peter E. Vincent (J. Comput. Phys., 2017)

Paired explicit Runge-Kutta schemes for stiff systems of equations. - Brian C. Vermeire (J. Comput. Phys., 2019)

Optimal Runge-Kutta schemes for pseudo time-stepping with high-order unstructured methods. - Brian C. Vermeire; Niki Andreas Lopi; Peter E. Vincent (J. Comput. Phys., 2019)

Optimal embedded pair Runge-Kutta schemes for pseudo-time stepping. - Brian C. Vermeire; Niki Andreas Lopi; Peter E. Vincent (J. Comput. Phys., 2020)

Fully-Discrete Analysis of High-Order Spatial Discretizations with Optimal Explicit Runge-Kutta Methods. - Carlos A. Pereira; Brian C. Vermeire (J. Sci. Comput., 2020)

Spectral Properties of High-Order Element Types for Implicit Large Eddy Simulation. - Carlos A. Pereira; Brian C. Vermeire (J. Sci. Comput., 2020)

Accelerated implicit-explicit Runge-Kutta schemes for locally stiff systems. - Brian C. Vermeire; Siavash Hedayati Nasab (J. Comput. Phys., 2021)

Optimal Runge-Kutta Stability Polynomials for Multidimensional High-Order Methods. - Siavash Hedayati Nasab; Carlos A. Pereira; Brian C. Vermeire (J. Sci. Comput., 2021)

Third-order Paired Explicit Runge-Kutta schemes for stiff systems of equations. - Siavash Hedayati Nasab; Brian C. Vermeire (J. Comput. Phys., 2022)

Performance and accuracy of hybridized flux reconstruction schemes. - Carlos A. Pereira; Brian C. Vermeire (J. Comput. Phys., 2022)

Hybridized Formulations of Flux Reconstruction Schemes for Advection-Diffusion Problems. - Carlos A. Pereira; Brian C. Vermeire (CoRR, 2023)

Embedded paired explicit Runge-Kutta schemes. - Brian C. Vermeire (J. Comput. Phys., 2023)

Energy Conservative Relaxation-Free Runge-Kutta Schemes. - Mohammad R. Najafian; Brian C. Vermeire (CoRR, 2024)

Hybridized Implicit-Explicit Flux Reconstruction Methods. - Carlos A. Pereira; Brian C. Vermeire (CoRR, 2024)

p-adaptive hybridized flux reconstruction schemes. - Carlos A. Pereira; Brian C. Vermeire (J. Comput. Phys., 2024)

PyFR v2.0.3: Towards industrial adoption of scale-resolving simulations. - Freddie D. Witherden; Peter E. Vincent; Will Trojak; Yoshiaki Abe; Amir Akbarzadeh; Semih Akkurt; Mohammad Alhawwary; Lidia Caros; Tarik Dzanic; Giorgio Giangaspero; Arvind Iyer; Antony Jameson; et al. (Comput. Phys. Commun., 2025)

Quasi-orthogonal Runge-Kutta projection methods. - Mohammad R. Najafian; Brian C. Vermeire (J. Comput. Phys., 2025)

Hybridized implicit-explicit flux reconstruction methods for geometry-induced stiffness. - Carlos A. Pereira; Brian C. Vermeire (J. Comput. Phys., 2025)