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math.NA2025
Error Analysis and Parallel Scaling Study of A Parareal Parallel-in-Time Integration Algorithm for Particle-in-Fourier Schemes
Sriramkrishnan Muralikrishnan, Robert Speck
We propose a parareal based time parallelization scheme in the phase-space for the particle-in-Fourier (PIF) discretization of the Vlasov-Poisson system used in kinetic plasma simu…
math.NA2024
A particle-in-Fourier method with semi-discrete energy conservation for non-periodic boundary conditions
Changxiao Nigel Shen, Antoine Cerfon, Sriramkrishnan Muralikrishnan
We introduce a novel particle-in-Fourier (PIF) scheme that extends its applicability to non-periodic boundary conditions. Our method handles free space boundary conditions by repla…