In this work, we study time-splitting strategies for the numerical approximation of
evolutionary reaction–diffusion problems. In particular, we formulate a family of domain …

We analyse temporal approximation schemes based on overlapping domain
decompositions. As such schemes enable computations on parallel and distributed …

This paper deals with the numerical solution of semilinear parabolic problems by means of
efficient parallel algorithms. We first consider a mimetic finite difference method for the …

Motivated by a recent work of Hershkowitz and Mashal, we introduce here the notions of
additive-stability and-matrices, with being a partition of, extending those of additive D …

In recent years, the gradual saturation of parallelization in space has been a strong
motivation for the design and analysis of new parallel-in-time algorithms. Among these …

In this work, we present a cell-centered time-splitting technique for solving evolutionary
diffusion equations on triangular grids. To this end, we consider three variables (namely the …

In this dissertation we study the Lyapunov diagonal stability and its extensions through
partitions of the index set {1,..., n}. This type of matrix stability plays an important role in …

Spatial and Physical Splittings of Semilinear Parabolic Problems Henningsson, Erik Page 1
Spatial and Physical Splittings of Semilinear Parabolic Problems Henningsson, Erik 2016 …

ABSTRACT A new convergence condition is derived for the Crank-Nicolson--Leap-Frog
integration scheme. The convergence condition guarantees second-order temporal …