Symmetric-conjugate splitting methods for linear unitary problems
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Títol
Symmetric-conjugate splitting methods for linear unitary problemsData de publicació
2023-11-10Editor
SpringerISSN
1572-9125; 0006-3835Cita bibliogràfica
Bernier, J., Blanes, S., Casas, F. et al. Symmetric-conjugate splitting methods for linear unitary problems. Bit Numer Math 63, 58 (2023). https://doi.org/10.1007/s10543-023-00998-4Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://link.springer.com/article/10.1007/s10543-023-00998-4Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
We analyze the preservation properties of a family of reversible splitting methods when they are applied to the numerical time integration of linear differential equations defined in the unitary group. The schemes ... [+]
We analyze the preservation properties of a family of reversible splitting methods when they are applied to the numerical time integration of linear differential equations defined in the unitary group. The schemes involve complex coefficients and are conjugated to unitary transformations for sufficiently small values of the time step-size. New and efficient methods up to order six are constructed and tested on the linear Schrödinger equation. [-]
Publicat a
BIT Numerical Mathematics (2023) 63:58Drets d'accés
© The Author(s) 2023
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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