Listar MAT_Articles por autoría "3a73b653-15b9-4d72-abab-342e5b689b4c"
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Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations
Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro; Zhang, Yong Elsevier (2020-05-29)In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the real axis. It is shown in particular that ... -
On symmetric-conjugate composition methods in the numerical integration of differential equations
Blanes, S.; Casas, Fernando; Chartier, Philippe; Escorihuela-Tomàs, Alejandro American Mathematical Society (2021)We analyze composition methods with complex coefficients exhibiting the so-called “symmetry-conjugate” pattern in their distribution. In particular, we study their behavior with respect to preservation of qualitative ... -
Optimized high-order splitting methods for some classes of parabolic equation
Blanes, Sergio; Casas, Fernando; Chartier, Philippe; Murua, Ander American Mathematical Society (2013)Weareconcernedwiththenumericalsolutionobtainedbysplitting methods of certain parabolic partial differential equations. Splitting schemes of order higher than two with real coefficients necessarily involve negative coefficients. ...