Listar IMAC_Articles por autoría "be1538e8-3a92-4bcc-98c7-50b9ff797eb5"
Mostrando ítems 1-4 de 4
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Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild Oxford University Press (2018-04)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 ... -
Efficient time integration methods for Gross-Pitaevskii equations with rotation term
Bader, Philipp; Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild American Institute of Mathematical Sciences (2019)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, ... -
Generalisation of splitting methods based on modified potentials to nonlinear evolution equations of parabolic and Schrödinger type
Blanes, Sergio; Casas, Fernando; González, Cesáreo; Thalhammer, Mechthild Elsevier (2023-11-10)The present work is concerned with the extension of modified potential operator splitting methods to specific classes of nonlinear evolution equations. The considered partial differential equations of Schrödinger and ... -
Splitting and composition methods with embedded error estimators
Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild Elsevier (2019-12)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 integrator, ...