Publicaciones en colaboración con investigadores/as de Universidad de Burgos (24)

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

  2. Solitary-Wave Solutions of the Fractional Nonlinear Schrödinger Equation: I—Existence and Numerical Generation

    Journal of Nonlinear Science, Vol. 34, Núm. 6

2022

  1. CMMSE: Analysis of order reduction when Lawson methods integrate nonlinear initial boundary value problems

    Mathematical Methods in the Applied Sciences, Vol. 45, Núm. 17, pp. 11319-11330

  2. How to avoid order reduction when Lawson methods integrate nonlinear initial boundary value problems

    BIT Numerical Mathematics, Vol. 62, Núm. 2, pp. 431-463

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. Why improving the accuracy of exponential integrators can decrease their computational cost?

    Mathematics, Vol. 9, Núm. 9

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

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

  3. Avoiding order reduction when integrating nonlinear Schrödinger equation with Strang method

    Journal of Computational and Applied Mathematics, Vol. 316, pp. 86-99

2015

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

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

2014

  1. 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

2010

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

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

2007

  1. Condiciones de frontera absorbentes para la ecuación de Schrödinger no lineal discretizada con elementos finitos

    XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas

  2. Local absorbing boundary conditions for a finite element discretization of the cubic nonlinear Schrodinger equation

    World Congress on Engineering 2007

2006

  1. A high order finite element discretization with local absorbing boundary conditions of the linear Schrödinger equation

    Journal of Computational Physics, Vol. 220, Núm. 1, pp. 409-421

2004

  1. Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation

    Mathematics of Computation, Vol. 73, Núm. 245, pp. 127-142