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

How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems Cano, Begoña Reguera López, Nuria Order reduction Lawson methods Reaction-diffusion Initial boundary value problems Matemáticas Mathematics 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. This work was funded by Ministerio de Ciencia e Innovación and Regional Development European Funds through project PGC2018-101443-B-I00 and by Junta de Castilla y León and Feder through projects VA169P20. 2023-11-21T10:47:38Z 2023-11-21T10:47:38Z 2021-06 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 0006-3835 http://hdl.handle.net/10259/8073 10.1007/s10543-021-00879-8 1572-9125 eng BIT Numerical Mathematics. 2022, V. 62, n. 2, p. 431-463 https://doi.org/10.1007/s10543-021-00879-8 info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-101443-B-I00/ES/RESOLUCION NUMERICA PRECISA EN TIEMPO DE ECUACIONES EN DERIVADAS PARCIALES/ info:eu-repo/grantAgreement/Junta de Castilla y León//VA169P20//Inversión en tecnologías limpias y políticas medioambientales: Modelización matemática y análisis mediante juegos dinámicos/ info:eu-repo/semantics/openAccess application/pdf Springer https://riubu.ubu.es/bitstream/10259/8073/3/Cano-BITnm_2022.pdf.jpg Hispana TEXT http://rightsstatements.org/vocab/CNE/1.0/ RIUBU. Repositorio Institucional de la Universidad de Burgos http://hdl.handle.net/10259/8073