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Symmetric-conjugate splitting methods for evolution equations of parabolic type
dc.contributor.author | Blanes, S. | |
dc.contributor.author | Casas, Fernando | |
dc.contributor.author | González, Cesáreo | |
dc.contributor.author | Thalhammer, Mechthild | |
dc.date.accessioned | 2024-02-21T11:16:43Z | |
dc.date.available | 2024-02-21T11:16:43Z | |
dc.date.issued | 2024-01 | |
dc.identifier.citation | S. Blanes, F. Casas, C. González, M. Thalhammer. Symmetric-conjugate splitting methods for evolution equations of parabolic type. Journal of Computational Dynamics, 2024, 11(1): 108-134. doi: 10.3934/jcd.2024003 | ca_CA |
dc.identifier.issn | 2158-2491 | |
dc.identifier.uri | http://hdl.handle.net/10234/205959 | |
dc.description.abstract | The present work provides a comprehensive study of symmetric-conjugate operator splitting methods in the context of linear parabolic problems and demonstrates their additional benefits compared to symmetric splitting methods. Relevant applications include nonreversible systems and ground state computations for linear Schrodinger equations based on the imaginary time propagation. Numerical examples confirm the favourable error behaviour of higher-order symmetric-conjugate splitting methods and illustrate the usefulness of a time stepsize control, where the local error estimation relies on the computation of the imaginary parts and thus requires negligible costs. | ca_CA |
dc.format.extent | 27 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | American Institute of Mathematical Sciences (AIMS) | ca_CA |
dc.relation.isPartOf | Journal of Computational Dynamics Vol. 11, No. 1, January 2024, pp. 108-134 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | ca_CA |
dc.subject | linear evolution equations | ca_CA |
dc.subject | parabolic problems | ca_CA |
dc.subject | Schrödinger equations | ca_CA |
dc.subject | operator splitting methods | ca_CA |
dc.subject | Fourier spectral methods | ca_CA |
dc.subject | stability | ca_CA |
dc.subject | convergence | ca_CA |
dc.subject | efficiency | ca_CA |
dc.title | Symmetric-conjugate splitting methods for evolution equations of parabolic type | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.subject.jel | 65J10 | ca_CA |
dc.subject.jel | 65L04 | ca_CA |
dc.subject.jel | 65M12 | ca_CA |
dc.identifier.doi | https://doi.org/10.3934/jcd.2024003 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.type.version | info:eu-repo/semantics/acceptedVersion | ca_CA |
project.funder.name | Ministerio de Ciencia, Innovación y Universidades | ca_CA |
oaire.awardNumber | PID2019- 104927GB-C21 | ca_CA |
oaire.awardNumber | PID2019-104927GB-C22 | ca_CA |
oaire.awardNumber | MCIN/AEI/10.13039/501100011033 | ca_CA |
oaire.awardNumber | CIAICO/2021/180 | ca_CA |
dc.subject.ods | 9. Industria, innovacion e infraestructura | ca_CA |
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