RT info:eu-repo/semantics/article
T1 Time exponential splitting integrator for the Klein–Gordon equation with free parameters in the Hagstrom–Warburton absorbing boundary conditions
A1 Alonso Mallo, Isaías
A1 Portillo de la Fuente, Ana María
AB The Klein–Gordon  equation on an infinite two dimensional strip is considered. Numerical computation is reduced to a finite domain by using the Hagstrom–Warburton (H–W) absorbing boundary conditions (ABCs) with free parameters in the formulation of the auxiliary variables. The spatial discretization is achieved by using fourth order finite differences and the time integration is made by means  of an efficient and easy to implement fourth order exponential splitting scheme which was used in Alonso-Mallo and Portillo (2016) considering the fixed Padé parameters in the formulation of the ABCs. Here, we generalize the splitting time technique to other choices of the parameters. To check the timeintegrator we consider, on one hand, fourty peso ffixed parameters, the  Newmann’s parameters, the Chebyshev’s parameters, the Padé’s parameters and optimal parameters proposed in Hagstrom et al. (2007) and, on the other hand, an adaptive scheme for the dynamic control of the order of absorption and the parameters. We study the efficiency of the splitting scheme by comparing with  thefourth-order four-stage Runge–Kutta method.
YR 2018
FD 2018
LK http://uvadoc.uva.es/handle/10324/40699
UL http://uvadoc.uva.es/handle/10324/40699
LA spa
NO Journal of Computational and Applied Mathematics Volume 333, 1 May 2018, Pages 185-199
DS UVaDOC
RD 22-nov-2024