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In this paper, a mean-field equation of motion which is derived by
Penrose (1991) for the dynamic Ising model with Glauber dynamics is
considered. Various finite difference schemes such as explicit ...
Exact Analytical Solutions to the Two-Mode Mean-Field Model Describing Dynamics of a Split Bose-Einstein
Condensate
split Bose-Einstein condensate mean-field model exact analytical solutions
2007/8/15
2002Vol.37No.4pp.413-418DOI:
Exact Analytical Solutions to the Two-Mode Mean-Field Model Describing Dynamics of a Split Bose-Einstein
Condensate
WU Ying1,2 and YANG Xiao-Xue1
...
Holistic finite differences accurately model the dynamics of the Kuramoto-Sivashinsky equation
Holistic finite differences accurately model dynamics the Kuramoto-Sivashinsky equation
2010/10/29
We analyse the nonlinear Kuramoto-Sivashinsky equation to develop an accurate finite difference approximation to its dynamics. The analysis is based upon centre manifold theory so we are assured that...