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 …

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 a previous paper, a technique was described to avoid order reduction with exponential
Rosenbrock methods when integrating initial boundary value problems with time-dependent …

When applied to stiff problems, the effective order of convergence of general linear methods
is governed by their stage order, which is less than or equal to the classical order of the …

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 …

In previous papers, a technique has been suggested to avoid order reduction when
integrating initial boundary value problems with several kinds of exponential methods. The …

A technique is described in this paper to avoid order reduction when integrating reaction-
diffusion initial boundary value problems with explicit exponential Rosenbrock methods. The …

In previous papers, a technique has been suggested to avoid order reduction when
integrating initial boundary value problems with several kinds of exponential methods. The …

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

In previous papers, a technique has been suggested to avoid order reduction when inte-
grating initial boundary value problems with several kinds of exponential methods. The …