has characteristic
modelling and simulation algorithm
deterministic system behaviour
progression with adaptive time step
approximate solution
S-System power-law canonical differential equations solver
2011-05-20
http://identifiers.org/biosimulators/ecell4
http://identifiers.org/doi/10.1137/0727042
AZ
ESSYNS GMA
Ordinary differential equations can be recast into a nonlinear canonical form called an S-system. Evidence for the generality of this class comes from extensive empirical examples that have been recast and from the discovery that sets of differential equations and functions, recognized as among the most general, are special cases of S-systems. Identification of this nonlinear canonical form suggests a radically different approach to numerical solution of ordinary differential equations. By capitalizing on the regular structure of S-systems, efficient formulas for a variable-order, variable-step Taylor-series method are developed.
ordinary differential equation problem