Symmetric-conjugate splitting methods for linear unitary problems
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Other documents of the author: Bernier, Joackim; Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Symmetric-conjugate splitting methods for linear unitary problemsDate
2023-11-10Publisher
SpringerISSN
1572-9125; 0006-3835Bibliographic citation
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/s10543-023-00998-4Type
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https://link.springer.com/article/10.1007/s10543-023-00998-4Version
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Abstract
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. [-]
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BIT Numerical Mathematics (2023) 63:58Rights
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info:eu-repo/semantics/openAccess
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