2024/05/30 by Giacomo Rosilho de Souza, de Souza, Giacomo Rosilho, Simone Pezzuto +3
Engineering · Physics and Astronomy · #65L04 #65L10 #65L20 #65Y05 #Advancements in Semiconductor Devices and Circuit Design #FOS: Mathematics #Numerical Analysis (math.NA) #Photonic and Optical Devices #Quantum and electron transport phenomena
paper · pdf · doi:10.48550/arxiv.2405.19994
openalex publication_date 2024/05/30 · openalex created_date 2024/06/01 · openalex updated_date 2026/07/30
Simulation of the monodomain equation, crucial for modeling the heart's electrical activity, faces scalability limits when traditional numerical methods only parallelize in space. To optimize the use of large multi-processor computers by distributing the computational load more effectively, time parallelization is essential. We introduce a high-order parallel-in-time method addressing the substantial computational challenges posed by the stiff, multiscale, and nonlinear nature of cardiac dynamics. Our method combines the semi-implicit and exponential spectral deferred correction methods, yielding a hybrid method that is extended to parallel-in-time employing the PFASST framework. We thoroughly evaluate the stability, accuracy, and robustness of the proposed parallel-in-time method through extensive numerical experiments, using practical ionic models such as the ten-Tusscher-Panfilov. The results underscore the method's potential to significantly enhance real-time and high-fidelity simulations in biomedical research and clinical applications.