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Article Dans Une Revue BIT Numerical Mathematics Année : 2023

Symmetric-conjugate splitting methods for linear unitary problems

Résumé

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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Dates et versions

hal-04028985 , version 1 (14-03-2023)

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Joackim Bernier, S Blanes, Fernando Casas, A Escorihuela-Tomàs. Symmetric-conjugate splitting methods for linear unitary problems. BIT Numerical Mathematics, 2023, 63 (58), ⟨10.1007/s10543-023-00998-4⟩. ⟨hal-04028985⟩
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