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 …

Exponential Lawson methods are well known to have a severe order reduction when
integrating stiff problems. In a previous article, the precise order observed with Lawson …

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 …

This work constructs the first-ever sixth-order exponential Runge–Kutta (ExpRK) methods for
the time integration of stiff parabolic PDEs. First, we leverage the exponential B-series theory …

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 …

In this paper a technique is suggested to integrate linear initial boundary value problems
with exponential quadrature rules in such a way that the order in time is as high as possible …

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. Although methods …

In this paper a thorough analysis is carried out of the type of order reduction that Lawson
methods exhibit when used to integrate nonlinear initial boundary value problems. In …