17 citations · 17 across the 4 of their papers we have counts for
5 papers
High-order parallel-in-time method for the monodomain equation in cardiac electrophysiology
Giacomo Rosilho de Souza, Simone Pezzuto, Rolf Krause
Simulation of the monodomain equation, crucial for modeling the heart's electrical activity, faces scalability limits when traditional numerical methods only parallelize in space.…
Explicit stabilized multirate methods for the monodomain model in cardiac electrophysiology
Giacomo Rosilho de Souza, Marcus J. Grote, Simone Pezzuto +1
Fully explicit stabilized multirate (mRKC) methods are well-suited for the numerical solution of large multiscale systems of stiff ordinary differential equations thanks to their i…
Boundary Integral Formulation of the Cell-by-Cell Model of Cardiac Electrophysiology
Giacomo Rosilho de Souza, Rolf Krause, Simone Pezzuto
We propose a boundary element method for the accurate solution of the cell-by-cell bidomain model of electrophysiology. The cell-by-cell model, also called Extracellular-Membrane-I…
Optimal explicit stabilized postprocessed -leap method for the simulation of chemical kinetics
Assyr Abdulle, Lia Gander, Giacomo Rosilho de Souza
The simulation of chemical kinetics involving multiple scales constitutes a modeling challenge (from ordinary differential equations to Markov chain) and a computational challenge…
Instabilities and order reduction phenomenon of an interpolation based multirate Runge-Kutta-Chebyshev method
Assyr Abdulle, Giacomo Rosilho de Souza
An explicit stabilized additive Runge-Kutta scheme is proposed. The method is based on a splitting of the problem in severely stiff and mildly stiff subproblems, which are then ind…