Symmetric-conjugate splitting methods for evolution equations of parabolic type
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Symmetric-conjugate splitting methods for evolution equations of parabolic typeDate
2024-01Publisher
American Institute of Mathematical Sciences (AIMS)ISSN
2158-2491Bibliographic 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.2024003Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/acceptedVersionSubject
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 ... [+]
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. [-]
Is part of
Journal of Computational Dynamics Vol. 11, No. 1, January 2024, pp. 108-134Funder Name
Ministerio de Ciencia, Innovación y Universidades
Project code
PID2019- 104927GB-C21 | PID2019-104927GB-C22 | MCIN/AEI/10.13039/501100011033 | CIAICO/2021/180
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [761]