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Listar por palabra clave "Exponential integrators"

Mostrando ítems 1-7 de 7

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, ...
Magnus integrators for solving linear-quadratic differential games

Blanes Zamora, Sergio; Ponsoda Miralles, Enrique (Elsevier, 2012-08)

We consider Magnus integrators to solve linear-quadratic N-player differential games. These problems require to solve, backward in time, non-autonomous matrix Riccati differential equations which are coupled with the ...
New efficient numerical methods to describe the heat transfer in a solid medium

Ponsoda Miralles, Enrique; Blanes Zamora, Sergio; Bader, Philipp (Elsevier, 2011-10)

The analysis of heat conduction through a solid with heat generation leads to a linear matrix differential equation with separated boundary conditions. We present a symmetric second order exponential integrator for the ...
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 ...
Time-averaging and exponential integrators for non-homogeneous linear IVPs and BVPs

Blanes Zamora, Sergio; Ponsoda Miralles, Enrique (Elsevier, 2012-08)

We consider time-averaging methods based on the Magnus series expansion jointly with exponential integrators for the numerical integration of general linear non-homogeneous differential equations. The schemes can be ...