The parareal Schwarz waveform relaxation algorithm is a new space-time parallel algorithm
for the solution of evolution partial differential equations. It is based on a decomposition of …

The Parareal algorithm allows one to solve evolution problems exploiting parallelization in
time. Its convergence and stability have been proved under the assumption of regular …

The increasing complexity of modern AC/DC power systems poses a significant challenge to
a fast solution of large-scale transient stability simulation problems. This paper proposes the …

This paper develops a parallel finite-element method based on a space-time domain
decomposition method. The proposed method combines a standard space domain …

This article focuses on efficient steady-state computations of induction machines. In
particular, the periodic Parareal algorithm with the initial-value coarse problem (PP-IC) is …

Parallel-in-time methods are emerging to accelerate the solution of time-consuming
problems in different research fields. However, the complexity of power system component …

This book deals with the analysis and development of numerical methods for the time-
domain analysis of multiphysical effects in superconducting circuits of particle accelerator …

This textbook introduces methods of accelerating transient stability (dynamic) simulation and
electromagnetic transient simulation on massively parallel processors for large-scale AC-DC …

In this article, we introduce the Python framework PyMGRIT, which implements the multigrid-
reduction-in-time (MGRIT) algorithm for solving (non-) linear systems arising from the …

In this paper, we present the new “asynchronous truncated multigrid-reduction-in-time”(AT-
MGRIT) algorithm for introducing time parallelism to the solution of discretized time …