2026-04-20T07:06:33Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/80732023-11-22T01:05:13Zcom_10259_6229com_10259_4534com_10259.4_106com_10259_2604col_10259_6230

00925njm 22002777a 4500 dc Cano, Begoña author Reguera López, Nuria author 2021-06 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 satisfy enough conditions of annihilation on the boundary. However, in a previous paper, a modification of Lawson quadrature rules has been suggested so that no order reduction turns up when integrating linear problems subject to time-dependent boundary conditions. In this paper, we describe and thoroughly analyse a technique to avoid also order reduction when integrating nonlinear problems. This is very useful because, given any Runge–Kutta method of any classical order, a Lawson method can be constructed associated to it for which the order is conserved. 0006-3835 http://hdl.handle.net/10259/8073 10.1007/s10543-021-00879-8 1572-9125 Order reduction Lawson methods Reaction-diffusion Initial boundary value problems How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems