@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} }