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Listar por palabra clave "Magnus integrators"

Mostrando ítems 1-5 de 5

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

Blanes Zamora, Sergio; Casas, Fernando; Mechthild Thalhammer (Oxford University Press, 2018)

[EN] The main objective of this work is to provide a stability and error analysis of high-order commutator-free quasi-Magnus (CFQM) exponential integrators. These time integration methods for nonautonomous linear evolution ...
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, ...
High-order commutator-free quasi-Magnus exponential integrators for non-autonomous linear evolution equations

Blanes Zamora, Sergio; Casas, Fernando; Mechthild Thalhammer (Elsevier, 2017)

[EN] The class of commutator-free quasi-Magnus (CFQM) exponential integrators provides a favourable alternative to standard Magnus integrators, in particular for large-scale applications arising in the time integration of ...
Positivity-preserving methods for ordinary differential equations

Blanes Zamora, Sergio; Iserles, Arieh; MacNamara, Shev (EDP Sciences, 2022-08-12)

[EN] Many important applications are modelled by differential equations with positive solutions. However, it remains an outstanding open problem to develop numerical methods that are both (i) of a high order of accuracy ...