RT Journal Article
T1 New fractional step Runge–Kutta–Nyström methods up to order three
A1 Bujanda, Blanca
A1 Moreta Santos, María Jesús
A1 Jorge, Juan Carlos
AB Fractional Step Runge–Kutta–Nyström (FSRKN) methods have been revealed to be an excel- lent option to integrate numerically many multidimensional evolution models governed by second order in time partial differential equations. These methods, combined with suitable spatial discretizations, lead to strong computational cost reductions respect to many clas- sical implicit time integrators. In this paper, we present the construction process of several implicit FSRKN methods of two and three levels which attain orders up to three and sat- isfy adequate stability properties. We have also performed some numerical experiments in order to show the unconditionally convergent behavior of these schemes as well as their computational advantages.
PB Elsevier
SN 0096-3003
YR 2019
FD 2019
LK https://hdl.handle.net/20.500.14352/112330
UL https://hdl.handle.net/20.500.14352/112330
LA eng
NO B. Bujanda, M. Moreta y J. C. Jorge. New fractional Runge-Kutta-Nyström methods up to order three, Applied Mathematics and Computation, Vol. 366 (2020). Article 124743, 1 – 19.
NO Ministerio de Ciencia, Industria y Competitividad (España)
DS Docta Complutense
RD 13 abr 2026