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oai:uvadoc.uva.es:10324/732542025-01-09T20:06:14Zcom_10324_1176com_10324_931com_10324_894col_10324_1359

Cano Urdiales, Begoña Moreta Santos, María Jesús 2025 Producción Científica 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 boundary conditions. That requires to calculate some information on the boundary from the given data. In the present paper we prove that, under some assumptions on the coefficients of the method which are mainly always satisfied, no numerical differentiation is required to approximate that information in order to achieve order 4 for parabolic problems with Dirichlet boundary conditions. With Robin/Neumann ones, just numerical differentiation in time may be necessary 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 give some comparisons with several methods in the literature, with the corresponding stiff order. application/pdf https://uvadoc.uva.es/handle/10324/73254 eng Elsevier 12 Matemáticas Efficient exponential Rosenbrock methods till order four info:eu-repo/semantics/article TEXT UVaDOC. Repositorio Documental de la Universidad de Valladolid Hispana