Publications by the researcher in collaboration with BEGOÑA CANO URDIALES (17)

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

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

2009

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

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

2008

  1. Optimal time order when implicit Runge-Kutta-Nyström methods solve linear partial differential equations

    Applied Numerical Mathematics, Vol. 58, Núm. 5, pp. 539-562

2006

  1. Stability of Runge-Kutta-Nyström methods

    Journal of Computational and Applied Mathematics

  2. Stable Runge-Kutta-Nyström methods for dissipative stiff problems

    Numerical Algorithms, Vol. 42, Núm. 2, pp. 193-203

2005

  1. Order reduction and how to avoid it when explicit Runge-Kutta-Nyström methods are used to solve linear partial differential equations

    Journal of Computational and Applied Mathematics, Vol. 176, Núm. 2, pp. 293-318

2004

  1. Avoiding order reduction of Runge-Kutta discretizations for linear time-dependent parabolic problems

    BIT Numerical Mathematics, Vol. 44, Núm. 1, pp. 1-20

  2. Spectral-fractional step Runge-Kutta discretizations for initial boundary value problems with time dependent boundary conditions

    Mathematics of Computation, Vol. 73, Núm. 248, pp. 1801-1825

2003

  1. Evitando la reducción de orden de discretizaciones Runge-Kutta en problemas parabólicos lineales con coeficientes dependientes del tiempo

    XVIII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones ; VIII CMA Congreso de Matemática Aplicada: Tarragona, 15-19 septiembre de 2003

  2. Reducción de orden y cómo evitarla al integrar ecuaciones en derivadas parciales lineales de segundo orden en tiempo con métodos Runge-Kutta-Nyström

    XVIII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones ; VIII CMA Congreso de Matemática Aplicada: Tarragona, 15-19 septiembre de 2003

2002

  1. Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems

    Applied Numerical Mathematics, Vol. 41, Núm. 2, pp. 247-268

2001

  1. Discretizaciones Espectrales/Rosenbrock de orden óptimo para problemas de valores iniciales y de frontera

    XVII Congreso de Ecuaciones Diferenciales y Aplicaciones ; VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001