The Institute of Mathematics and Applications
Institut de recherche
Juan Ignacio
Montijano Torcal
Publications dans lesquelles il/elle collabore avec Juan Ignacio Montijano Torcal (25)
2020
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Variable Step-Size Control Based on Two-Steps for Radau IIA Methods
ACM Transactions on Mathematical Software, Vol. 46, Núm. 4
2012
2010
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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
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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
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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
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Some Optimal Runge-Kutta Collocation Methods for Stiff Problems and DAEs
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS
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Some optimal Runge-Kutta collocation methods for stiff problems and DAEs
AIP Conference Proceedings
2007
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A code based on gauss methods for second order differential systems
AIP Conference Proceedings
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A code based on gauss methods for second order differential systems
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS
2006
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On the preservation of invariants by explicit Runge-kutta methods
SIAM Journal on Scientific Computing, Vol. 28, Núm. 3, pp. 868-885
2004
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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
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Stabilized starting algorithms for collocation Runge-Kutta methods
Computers and Mathematics with Applications, Vol. 45, Núm. 1-3, pp. 411-428
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Variable-order starting algorithms for implicit Runge-Kutta methods on stiff problems
Applied Numerical Mathematics, Vol. 44, Núm. 1-2, pp. 77-94
2001
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Implementation of high-order implicit Runge-Kutta methods
Computers and Mathematics with Applications, Vol. 41, Núm. 7-8, pp. 1009-1024
2000
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On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods
Numerical Algorithms, Vol. 23, Núm. 1, pp. 97-113
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On the starting algorithms for fully implicit Runge-Kutta methods
BIT Numerical Mathematics, Vol. 40, Núm. 4, pp. 685-714
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Runge-Kutta methods for the numerical solution of stiff semilinear systems
BIT Numerical Mathematics, Vol. 40, Núm. 4, pp. 611-639
1999
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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
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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
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On the convergence of Runge-Kutta methods for stiff non linear differential equations
Numerische Mathematik, Vol. 81, Núm. 1, pp. 31-51