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 …

An error analysis is presented for explicit partitioned Runge–Kutta methods and multirate
methods applied to conservation laws. The interfaces, across which different methods or …

In this work, we propose efficient discretizations for nonlinear evolutionary reaction–diffusion
problems on general two-dimensional domains. The spatial domain is discretized through …

In this paper we develop a set of time integrators of type fractional step Runge–Kutta
methods which generalize the time integrator involved in the classical Peaceman–Rachford …

We study space and time discretizations for mixed formulations of parabolic problems. The
spatial approximation is based on the multipoint flux mixed finite element method, which …

This work deals with the efficient numerical solution of nonlinear parabolic problems posed
on a two-dimensional domain Ω. We consider a suitable decomposition of domain Ω and we …

Many disciplines, such as physics, the natural and biological sciences, engineering,
economics and the financial sciences frequently give rise to problems that need …

Software implemented fault injection technique is gaining much interest in evaluating system
dependability. For complex software applications fault injection experiments take a lot of …

Fractional step Runge–Kutta methods are a class of additive Runge–Kutta schemes that
provide efficient time discretizations for evolutionary partial differential equations. This …

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 …