Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrodinger Equation
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Títol
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrodinger EquationData de publicació
2023-05Editor
Global-Science PressCita bibliogràfica
Sergio Blanes, Fernando Casas, Cesáreo González & Mechthild Thalhammer. (2023). Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation. Communications in Computational Physics. 33 (4). 937-961. doi:10.4208/cicp.OA-2022-0247Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/submittedVersionParaules clau / Matèries
Resum
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 ... [+]
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, both in real and imaginary time. They are based on the use of a double commutator and a modified processor, and are more efficient than other widely used schemes found in the literature. Moreover, for certain potentials, they achieve order six. Several examples in one, two and three dimensions clearly illustrate the computational advantages of the new schemes. [-]
Publicat a
Communications in Computational Physics. 33 (4). 2023Entitat finançadora
Ministerio de Ciencia, Innovación y Universidades (Spain) | MCIN/AEI/10.13039/501100011033
Codi del projecte o subvenció
PID2019- 104927GB-C21 | PID2019-104927GB-C22
Títol del projecte o subvenció
ERDF ("A way of making Europe")
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© 2023 Global Science Press
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