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Portero Egea, Laura

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Portero Egea

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Laura

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Estadística, Informática y Matemáticas

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0000-0002-7521-2097

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2608

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Now showing 1 - 2 of 2
  • PublicationOpen Access
    Space-time parallel methods for evolutionary reaction-diffusion problems
    (Springer, 2023) Arrarás Ventura, Andrés; Gaspar, F. J.; Portero Egea, Laura; Rodrigo, C.; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2
    In recent years, the gradual saturation of parallelization in space has been a strongmotivation for the design and analysis of new parallel-in-time algorithms. Amongthese methods, the parareal algorithm, first introduced by Lions, Maday and Turinici[9], has received significant attention.
  • PublicationOpen Access
    Modified Douglas splitting methods for reaction–diffusion equations
    (Springer, 2017) Arrarás Ventura, Andrés; Hout, K. J. in ’t; Hundsdorfer, W.; Portero Egea, Laura; Ingeniería Matemática e Informática; Matematika eta Informatika Ingeniaritza
    We present modifications of the second-order Douglas stabilizing corrections method, which is a splitting method based on the implicit trapezoidal rule. Inclusion of an explicit term in a forward Euler way is straightforward, but this will lower the order of convergence. In the modifications considered here, explicit terms are included in a second-order fashion. For these modified methods, results on linear stability and convergence are derived. Stability holds for important classes of reaction–diffusion equations, and for such problems the modified Douglas methods are seen to be often more efficient than related methods from the literature.