Visualitza Departament: Matemàtiques per autoria "c06839f2-4098-44dc-adec-49a0a71f8aaa"
Ara mostrant els elements 1-4 d 4
-
Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear Schrödinger equations
Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild Oxford University Press (2020-03-02)This work is devoted to the derivation of a convergence result for high-order commutator-free quasi-Magnus (CFQM) exponential integrators applied to nonautonomous linear Schrödinger equations; a detailed stability and local ... -
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrodinger Equation
Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild Global-Science Press (2023-05)We present a new family of fourth-order splitting methods with positive coefficients especially tailored for the time integration of linear parabolic problems and, in particular, for the time dependent Schrödinger equation, ... -
Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild Elsevier (2023-11-10)The present work is concerned with the extension of modified potential operator splitting methods to specific classes of nonlinear evolution equations. The considered partial differential equations of Schrödinger and ... -
Symmetric-conjugate splitting methods for evolution equations of parabolic type
Blanes, S.; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild American Institute of Mathematical Sciences (AIMS) (2024-01)The present work provides a comprehensive study of symmetric-conjugate operator splitting methods in the context of linear parabolic problems and demonstrates their additional benefits compared to symmetric splitting ...