Publicaciones (49) Publicaciones de Begoña Cano Urdiales

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

    Mathematics, Vol. 9, Núm. 16

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

    Mathematics, Vol. 9, Núm. 9

2020

  1. A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems

    Applied Mathematics and Computation, Vol. 373

  2. On nonparaxial nonlinear Schrödinger-type equations

    Journal of Computational and Applied Mathematics, Vol. 373

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

  2. Divulgando en píldoras y desarrollando competencias orales y escritas en el alumnado de Cálculo Numérico

    IN-RED 2019: V Congreso de Innovación Educativa y Docencia en Red

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. Exponential quadrature rules without order reduction for integrating linear initial boundary value problems

    SIAM Journal on Numerical Analysis, Vol. 56, Núm. 3, pp. 1187-1209

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

2016

  1. Plane waves numerical stability of some explicit exponential methods for cubic schrodinger equation

    Journal of Computational Mathematics, Vol. 34, Núm. 4, pp. 385-406

2015

  1. Exponential time integration of solitary waves of cubic Schrödinger equation

    Applied Numerical Mathematics, Vol. 91, pp. 26-45

  2. Projected explicit lawson methods for the integration of schrödinger equation

    Numerical Methods for Partial Differential Equations, Vol. 31, Núm. 1, pp. 78-104

2013

  1. Conservation of invariants by symmetric multistep cosine methods for second-order partial differential equations

    BIT Numerical Mathematics, Vol. 53, Núm. 1, pp. 29-56

  2. Efficient numerical solvers for the nonlinear beam and wave equations

    Journal of Physics: Conference Series

  3. High-order symmetric multistep cosine methods

    Applied Numerical Mathematics, Vol. 66, pp. 30-44