Symmetric-conjugate splitting methods for evolution equations of parabolic type
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INVESTIGACIONMetadades
Títol
Symmetric-conjugate splitting methods for evolution equations of parabolic typeData de publicació
2024-01Editor
American Institute of Mathematical Sciences (AIMS)ISSN
2158-2491Cita bibliogràfica
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.2024003Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
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. [-]
Publicat a
Journal of Computational Dynamics Vol. 11, No. 1, January 2024, pp. 108-134Entitat finançadora
Ministerio de Ciencia, Innovación y Universidades
Codi del projecte o subvenció
PID2019- 104927GB-C21 | PID2019-104927GB-C22 | MCIN/AEI/10.13039/501100011033 | CIAICO/2021/180
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http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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