RT info:eu-repo/semantics/article
T1 Efficient exponential Rosenbrock methods till order four
A1 Cano Urdiales, Begoña
A1 Moreta Santos, María Jesús
K1 Exponential Rosenbrock methods
K1 Nonlinear reaction–diffusion problems
K1 Avoiding order reduction in time
K1 Efficiency
K1 12 Matemáticas
AB In a previous paper, a technique was described to avoid order reduction with exponentialRosenbrock methods when integrating initial boundary value problems with time-dependentboundary conditions. That requires to calculate some information on the boundary from thegiven data. In the present paper we prove that, under some assumptions on the coefficientsof the method which are mainly always satisfied, no numerical differentiation is required toapproximate that information in order to achieve order 4 for parabolic problems with Dirichletboundary conditions. With Robin/Neumann ones, just numerical differentiation in time may benecessary for order 4, but none for order ≤ 3.Furthermore, as with this technique it is not necessary to impose any stiff order conditions,in search of efficiency, we recommend some methods of classical orders 2, 3 and 4 and we givesome comparisons with several methods in the literature, with the corresponding stiff order.
PB Elsevier
SN 0377-0427
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/73254
UL https://uvadoc.uva.es/handle/10324/73254
LA eng
NO Journal of Computational and Applied Mathematics, enero 2025, vol. 453, 116158
NO Producción Científica
DS UVaDOC
RD 05-feb-2025