Time parallel time integration methods have received renewed interest over the last decade
because of the advent of massively parallel computers, which is mainly due to the clock …

Optimized Schwarz waveform relaxation methods have been developed over the last
decade for the parallel solution of evolution problems. They are based on a decomposition …

We present in this paper a time parallel algorithm for ̇ u= f (t, u) u˙= f (t, u) with initial-value u
(0)= u_0 u (0)= u 0, by using the waveform relaxation (WR) technique, and the …

Waveform relaxation techniques have become increasingly important with the wide
availability of parallel computers with a large number of processors. A limiting factor for …

The longitudinal waveform relaxation (WR) proposed by Gander and Ruehli converges
faster than the classical WR method. For the former, a free parameter α is contained, which …

The optimized waveform relaxation (OWR) methods, benefiting from intelligent information
exchange between subsystems–the so-called transmission conditions (TCs), are recognized …

The classical waveform relaxation (WR) methods rely on decoupling the large-scale ODEs
system into small-scale subsystems and then solving these subsystems in a Jacobi or Gauss …

While the classical Schwarz method can only be used with overlap, optimized Schwarz
methods can also be used without overlap, which can be an advantage when simulating …

Time parallel time integration methods have received renewed interest over the last decade
because of the advent of massively parallel computers, which is mainly due to the clock …

This paper proposes a distributed analytical representation and Gauss-Seidel iterative
technique (Seidel-DARIT-field), which has a faster convergence rate than the Jacobi-DARIT …