INVESTIGADORES
DE LEO Mariano Fernando
artículos
Título:
High-order time-splitting methods for irreversible equations
Autor/es:
MARIANO DE LEO; DIEGO RIAL; CONSTANZA SÁNCHEZ DE LA VEGA
Revista:
IMA JOURNAL OF NUMERICAL ANALYSIS
Editorial:
OXFORD UNIV PRESS
Referencias:
Lugar: Oxford; Año: 2016 vol. 36 p. 1842 - 1866
ISSN:
0272-4979
Resumen:
In this work, high-order splitting methods of integration without negative steps are shown which can be used in irreversible problems, like reaction-diffusion or complex Ginzburg-Landau equations. These methods consist of suitable affine combinations of Lie-Tortter schemes with different positive steps. The number of basic steps for these methods grows quadratically with the order, while for symplectic methods, the growth is exponential. Furthermore, the calculations can be performed in parallel, so that the computation time can be significantly reduced using multiple processors. Convergence results of these methods are proved for a large range of semilinear problems, which includes reaction-diffusion systems and dissipative perturbation of Hamiltonian systems
