Publications by the researcher in collaboration with MARIA JESUS MORETA SANTOS (17)

2025

  1. Efficient exponential Rosenbrock methods till order four

    Journal of Computational and Applied Mathematics, Vol. 453

2024

  1. Solving reaction-diffusion problems with explicit Runge–Kutta exponential methods without order reduction

    ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 58, Núm. 3, pp. 1053-1085

2020

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

    Applied Mathematics and Computation, Vol. 373

2018

  1. 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

2013

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

    Journal of Physics: Conference Series

  2. High-order symmetric multistep cosine methods

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

2012

  1. Stability and resonances of multistep cosine methods

    Journal of Computational Mathematics, Vol. 30, Núm. 5, pp. 517-532

2010

  1. Construction and Analysis of High Order Symmetric Multistep Cosine Methods

    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III

  2. Construction and analysis of high order symmetric multistep cosine methods

    AIP Conference Proceedings

  3. Multistep cosine methods for second-order partial differential systems

    IMA Journal of Numerical Analysis, Vol. 30, Núm. 2, pp. 431-461

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. Discretización mediante métodos Runge-Kutta-Nyström de ecuaciones en derivadas parciales de segundo orden en tiempo

    Discretización mediante métodos Runge-Kutta-Nyström de ecuaciones en derivadas parciales de segundo orden en tiempo

  2. 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

2003

  1. 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