Splitting methods constitute a well-established class of numerical schemes for the time
integration of partial differential equations. Their main advantages over more traditional …

In this paper, we suggest a technique to avoid order reduction in time when integrating
reaction–diffusion boundary value problems under non-homogeneous boundary conditions …

In this paper a technique is given to recover the classical order of the method when explicit
exponential Runge–Kutta methods integrate reaction-diffusion problems. In the literature …

It is well known that Lawson methods suffer from a severe order reduction when integrating
initial boundary value problems where the solutions are not periodic in space or do not …

In this paper, a thorough analysis is given for the order which is observed when integrating
evolutionary linear partial differential equations with Lawson methods. The analysis is …

It is well known the order reduction phenomenon which arises when exponential methods
are used to integrate time-dependent initial boundary value problems, so that the classical …

In this paper, we develop a high order finite difference boundary treatment method for the
implicit-explicit (IMEX) Runge-Kutta (RK) schemes solving hyperbolic systems with possibly …

In this article, we offer a comparison in terms of computational efficiency between two
techniques to avoid order reduction when using Strang method to integrate nonlinear initial …

In this paper a technique is suggested to avoid order reduction when using Strang method to
integrate nonlinear Schrödinger equation subject to time-dependent Dirichlet boundary …

We consider the numerical time-integration of the non-stationary Klein–Gordon equation
with position-and time-dependent mass. A novel class of time-averaged symplectic splitting …