Instabilities and order reduction phenomenon of an interpolation based multirate Runge-Kutta-Chebyshev method. - Assyr Abdulle; Giacomo Rosilho de Souza (CoRR, 2020)

A posteriori error analysis of a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. - Assyr Abdulle; Giacomo Rosilho de Souza (CoRR, 2020)

Stabilized explicit multirate methods for stiff differential equations. - Assyr Abdulle; Marcus J. Grote; Giacomo Rosilho de Souza (CoRR, 2020)

Optimal explicit stabilized postprocessed τ-leap method for the simulation of chemical kinetics. - Assyr Abdulle; Lia Gander; Giacomo Rosilho de Souza (CoRR, 2021)

Application of Stabilized Explicit Runge-Kutta Methods to the Incompressible Navier-Stokes Equations by means of a Projection Method and a Differential Algebraic Approach. - Giacomo Rosilho de Souza (CoRR, 2022)

A local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. - Assyr Abdulle; Giacomo Rosilho de Souza (J. Comput. Phys., 2022)

Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations. - Matteo Croci; Giacomo Rosilho de Souza (J. Comput. Phys., 2022)

Explicit stabilized multirate method for stiff differential equations. - Assyr Abdulle; Marcus J. Grote; Giacomo Rosilho de Souza (Math. Comput., 2022)

Explicit Stabilized Multirate Method for Stiff Stochastic Differential Equations. - Assyr Abdulle; Giacomo Rosilho de Souza (SIAM J. Sci. Comput., 2022)

Effect of Gap Junction Distribution, Size, and Shape on the Conduction Velocity in a Cell-by-Cell Model for Electrophysiology. - Giacomo Rosilho de Souza; Simone Pezzuto; Rolf Krause (FIMH, 2023)

Boundary Integral Formulation of the Cell-by-Cell Model of Cardiac Electrophysiology. - Giacomo Rosilho de Souza; Rolf Krause; Simone Pezzuto (CoRR, 2023)

Optimal explicit stabilized postprocessed τ-leap method for the simulation of chemical kinetics. - Assyr Abdulle; Lia Gander; Giacomo Rosilho de Souza (J. Comput. Phys., 2023)

Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology. - Giacomo Rosilho de Souza; Marcus J. Grote; Simone Pezzuto; Rolf Krause (CoRR, 2024)

High-order parallel-in-time method for the monodomain equation in cardiac electrophysiology. - Giacomo Rosilho de Souza; Simone Pezzuto; Rolf Krause (CoRR, 2024)