Publications (52) Publications de ISAIAS ALONSO MALLO

2024

  1. Avoiding order reduction phenomenon for general linear methods when integrating linear problems with time dependent boundary values

    Journal of Computational and Applied Mathematics, Vol. 439

2021

  1. Comparison of efficiency among different techniques to avoid order reduction with Strang splitting

    Numerical Methods for Partial Differential Equations, Vol. 37, Núm. 1, pp. 854-873

  2. Efficient time integration of nonlinear partial differential equations by means of rosenbrock methods

    Mathematics, Vol. 9, Núm. 16

  3. Integrating semilinear wave problems with time-dependent boundary values using arbitrarily high-order splitting methods

    Mathematics, Vol. 9, Núm. 10

2019

  1. Avoiding order reduction when integrating reaction–diffusion boundary value problems with exponential splitting methods

    Journal of Computational and Applied Mathematics, Vol. 357, pp. 228-250

2018

  1. Avoiding order reduction when integrating linear initial boundary value problems with exponential splitting methods

    IMA Journal of Numerical Analysis, Vol. 38, Núm. 3, pp. 1294-1323

  2. Time exponential splitting integrator for the Klein–Gordon equation with free parameters in the Hagstrom–Warburton absorbing boundary conditions

    Journal of Computational and Applied Mathematics, Vol. 333, pp. 185-199

2017

  1. Analysis of order reduction when integrating linear initial boundary value problems with Lawson methods

    Applied Numerical Mathematics, Vol. 118, pp. 64-74

  2. Avoiding order reduction when integrating linear initial boundary value problems with Lawson methods

    IMA Journal of Numerical Analysis, Vol. 37, Núm. 4, pp. 2091-2119

2016

  1. Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions

    Journal of Computational Physics, Vol. 311, pp. 196-212

2015

  1. Absorbing boundary conditions and geometric integration: A case study for the wave equation

    Mathematics and Computers in Simulation, Vol. 111, pp. 1-16

  2. Numerical detection and generation of solitary waves for a nonlinear wave equation

    Wave Motion, Vol. 56, pp. 137-146

2014

  1. A proof of the well posedness of discretized wave equation with an absorbing boundary condition

    Journal of Numerical Mathematics, Vol. 22, Núm. 4, pp. 271-287

  2. High order full discretizations of coupled wave equations with absorbing boundary conditions and geometric integration

    Journal of Computational Physics, Vol. 265, pp. 16-33

  3. Long timenumerical approximation of coherent-structure solutions of the cubic schrödinger equation

    Mathematical Methods in Engineering (Springer Netherlands), pp. 259-268

2013

  1. A self-adjusting algorithm for solitary wave simulations

    International Journal of Computer Mathematics, Vol. 90, Núm. 10, pp. 2174-2184

2011

  1. Aislamiento de estructuras coherentes para la ecuación BBM discretizada mediante elementos finitos

    XXII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones: XII CMA Congreso de Matemática Aplicada : Palma de Mallorca, 5-9 septiembre de 2011: programa y resúmenes

  2. Estabilidad de discretizaciones espaciales de la ecuación de ondas con condiciones de frontera absorbentes

    XXII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones: XII CMA Congreso de Matemática Aplicada : Palma de Mallorca, 5-9 septiembre de 2011: programa y resúmenes

2010

  1. Simulation of coherent structures in nonlinear Schrödinger-type equations

    Journal of Computational Physics, Vol. 229, Núm. 21, pp. 8180-8198

2009

  1. The stability of rational approximations of cosine functions on Hilbert spaces

    Applied Numerical Mathematics, Vol. 59, Núm. 1, pp. 21-38