Lines Matching refs:fast

679 ## IMEX Methods for fast-slow systems
681 Consider a fast-slow ODE system
685 \dot{u}^{slow} & = f^{slow}(t, u^{slow},u^{fast}) \\
686 M \dot{u}^{fast} & = g^{fast}(t, u^{slow},u^{fast}) + f^{fast}(t, u^{slow},u^{fast})
690 where $u^{slow}$ is the slow component and $u^{fast}$ is the
691 fast component. The fast component can be partitioned additively as
693 $f^{fast}()$ explicitly and the other terms implicitly when using
696 - `TSARKIMEXSetFastSlowSplit()` informs PETSc to use ARKIMEX to solve a fast-slow system.
697 - `TSRHSSplitSetIS()` specifies the index set for the slow/fast components.
698 …SSplitSetRHSFunction()` specifies the parts to be handled explicitly $f^{slow}()$ and $f^{fast}()$.
701 …ll-dimensional Jacobian whereas only a partial Jacobian is needed for the fast-slow split which is…