Volume 4, Issue 3
Energy Stability of a First Order Partitioned Method for Systems with General Coupling.

WILLIAM LAYTON AND AZIZ TAKHIROV

Int. J. Numer. Anal. Mod. B,4 (2013), pp. 203-214

Published online: 2013-04

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  • Abstract
We give an energy stability analysis of a first order, 2 step partitioned time discretization of systems of evolution equations. The method requires only uncoupled solutions of sub-systems at every time step without iteration, is long time stable and applies to general system couplings. We give a proof of long time energy stability under a time step restriction relating the time step to the size of the coupling terms.
  • AMS Subject Headings

65M12 65J08

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COPYRIGHT: © Global Science Press

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@Article{IJNAMB-4-203, author = {WILLIAM LAYTON AND AZIZ TAKHIROV}, title = {Energy Stability of a First Order Partitioned Method for Systems with General Coupling.}, journal = {International Journal of Numerical Analysis Modeling Series B}, year = {2013}, volume = {4}, number = {3}, pages = {203--214}, abstract = {We give an energy stability analysis of a first order, 2 step partitioned time discretization of systems of evolution equations. The method requires only uncoupled solutions of sub-systems at every time step without iteration, is long time stable and applies to general system couplings. We give a proof of long time energy stability under a time step restriction relating the time step to the size of the coupling terms.}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnamb/253.html} }
TY - JOUR T1 - Energy Stability of a First Order Partitioned Method for Systems with General Coupling. AU - WILLIAM LAYTON AND AZIZ TAKHIROV JO - International Journal of Numerical Analysis Modeling Series B VL - 3 SP - 203 EP - 214 PY - 2013 DA - 2013/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/253.html KW - partitioned methods KW - energy stability AB - We give an energy stability analysis of a first order, 2 step partitioned time discretization of systems of evolution equations. The method requires only uncoupled solutions of sub-systems at every time step without iteration, is long time stable and applies to general system couplings. We give a proof of long time energy stability under a time step restriction relating the time step to the size of the coupling terms.
WILLIAM LAYTON AND AZIZ TAKHIROV. (1970). Energy Stability of a First Order Partitioned Method for Systems with General Coupling.. International Journal of Numerical Analysis Modeling Series B. 4 (3). 203-214. doi:
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