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.