Publicaciones en las que colabora con Juan Ignacio Montijano Torcal (25)

2020

  1. Variable Step-Size Control Based on Two-Steps for Radau IIA Methods

    ACM Transactions on Mathematical Software, Vol. 46, Núm. 4

2012

  1. An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. Part II: Convergence results

    Applied Numerical Mathematics

2010

  1. An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results

    Journal of Computational and Applied Mathematics, Vol. 234, Núm. 4, pp. 1105-1116

  2. Extending convergence results of Runge–Kutta methods for stiff semi linear initial value problems

    Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, Núm. 33, pp. 141-154

2008

  1. Global error estimation based on the tolerance proportionality for some adaptive Runge-Kutta codes

    Journal of Computational and Applied Mathematics, Vol. 218, Núm. 2, pp. 329-341

  2. Some Optimal Runge-Kutta Collocation Methods for Stiff Problems and DAEs

    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS

  3. Some optimal Runge-Kutta collocation methods for stiff problems and DAEs

    AIP Conference Proceedings

2007

  1. A code based on gauss methods for second order differential systems

    AIP Conference Proceedings

  2. A code based on gauss methods for second order differential systems

    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS

2006

  1. On the preservation of invariants by explicit Runge-kutta methods

    SIAM Journal on Scientific Computing, Vol. 28, Núm. 3, pp. 868-885

2004

  1. Two-step error estimators for implicit Runge-Kutta methods applied to stiff systems

    ACM Transactions on Mathematical Software, Vol. 30, Núm. 1, pp. 1-18

2003

  1. Stabilized starting algorithms for collocation Runge-Kutta methods

    Computers and Mathematics with Applications, Vol. 45, Núm. 1-3, pp. 411-428

  2. Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems

    Applied Numerical Mathematics, Vol. 44, Núm. 1-2, pp. 77-94

2001

  1. Implementation of high-order implicit Runge-Kutta methods

    Computers and Mathematics with Applications, Vol. 41, Núm. 7-8, pp. 1009-1024

2000

  1. On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods

    Numerical Algorithms, Vol. 23, Núm. 1, pp. 97-113

  2. On the starting algorithms for fully implicit Runge-Kutta methods

    BIT Numerical Mathematics, Vol. 40, Núm. 4, pp. 685-714

  3. Runge-Kutta methods for the numerical solution of stiff semilinear systems

    BIT Numerical Mathematics, Vol. 40, Núm. 4, pp. 611-639

1999

  1. Algoritmos de arranque para métodos Runge-Kutta implícitos

    XVI CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones ; VI CMA Congreso de Matemática Aplicada: actas. Las Palmas de Gran Canaria, 21-24 septiembre 1999

  2. On the existence of solution of stage equations in implicit Runge-Kutta methods

    Journal of Computational and Applied Mathematics, Vol. 111, Núm. 1-2, pp. 25-36

1998

  1. On the convergence of Runge-Kutta methods for stiff non linear differential equations

    Numerische Mathematik, Vol. 81, Núm. 1, pp. 31-51