3 papers
cs.CE2024
An eikonal model with re-excitability for fast simulations in cardiac electrophysiology
Lia Gander, Rolf Krause, Francisco Sahli Costabal +1
Precision cardiology based on cardiac digital twins requires accurate simulations of cardiac arrhythmias. However, detailed models, such as the monodomain model, are computationall…
math.NA2024
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…
math.NA2024
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.…