INVESTIGACIÓN
Líneas de Investigación
Métodos de tipo Runge-Kutta para la resolución de Ecuaciones Diferenciales
Asesorías en Proyectos de Ingeniería
Algunos Artículos Recientemente Publicados
J.M. Franco, I. Gómez, Construction of explicit symmetric and symplectic methods of Runge-Kutta-Nyström type for solving perturbed oscillators, Applied Mathematics and Computation, (2013), 219,4637-4649
J.M. Franco, I. Gómez, Some procedures for the construction of high-order exponentially fitted Runge-Kutta-Nyström methods of explicit type, Computer Physics Comunications, (2013), 184,1310-1321
J.M. Franco, I. Gómez, A family of explicit parallel Runge-Kutta-Nystr\óm methods.Applied Mathematics and Computation, (2011), 218, 4177-4191J. M. Franco e I. Gómez, Accuracy and linear stability of RKN methods for solving second-order stiff problems, Applied Numerical Mathematics,(2009), 59, 959–975.
J. M. Franco e I. Gómez, Fourth-order symmetric DIRK methods for periodic stiff problems . Numerical Algorithms, (2003), 32, 317-336.
I. Gómez, I. Higueras and T. Roldán, Starting algorithms for low stage order RKN methods. Journal of Computational and Applied mathematics, (2002), 140, 345-368.
J.M. Franco, I. Gómez and L. Rández, Four-Stages Simplectic and P-estable SDIRKN methods with disperssion of high order, Numerical Algorithms, (2001), 26, 347-363.
J.M. Franco, I. Gómez, Consturction of explicit symmetric and symplectic methods of Runge-Kutta-Nyström type for solving perturbed oscillators, Applied Mathematics and Computation, (2013), 219,4637-4649
J.M. Franco and I. Gómez, A Parallel Diagonally-Iterated RK method for Convection-Diffusion and stiff problems, Comunications in Numerical Methods in Engeneering, (1998), 14, 821-837.
J.M. Franco and I. Gómez, Two 3-parallel and 3-processor SDIRK methods for stiff initial value problems, Journal of Computational and Applied Mathematics, (1997), 87, 119-134.
J.M. Franco, I. Gómez and L. Rández, SDIRK methods for stiff ODEs with oscillating solutions, Journal of Computational and Applied Mathematics, (1997), 81, 197-209.
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