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Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear Schrodinger equations

Blanes Zamora, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild (Oxford University Press, 2021-01)

[EN] 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 Schrodinger equations; a detailed stability and ...
Efficient time integration methods for Gross-Pitaevskii equations with rotation term

Bader, Philipp; Blanes Zamora, Sergio; Casas, Fernando; Thalhammer, Mechthild (American Institute of Mathematical Sciences, 2019-12)

[EN] The objective of this work is the introduction and investigation of favourable time integration methods for the Gross-Pitaevskii equation with rotation term. Employing a reformulation in rotating Lagrangian coordinates, ...
Splitting and composition methods with embedded error estimators

Blanes Zamora, Sergio; Casas, Fernando; Thalhammer, Mechthild (Elsevier, 2019-12)

[EN] We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the ...

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