petsc-3.4.4 2014-03-13


Time stepping with Extrapolated IMEX methods.


The general system is written as

G(t,X,Xdot) = F(t,X)

where G represents the stiff part and F represents the non-stiff part. The user should provide the stiff part of the equation using TSSetIFunction() and the non-stiff part with TSSetRHSFunction(). This method is designed to be linearly implicit on G and can use an approximate and lagged Jacobian.

Another common form for the system is


The relationship between F,G and f,g is

G = y'-g(x), F = f(x)

References E. Constantinescu and A. Sandu, Extrapolated implicit-explicit time stepping, SIAM Journal on Scientific Computing, 31 (2010), pp. 4452–4477.

See Also

TSCreate(), TS, TSSetType(), TSEIMEXSetMaxRows(), TSEIMEXSetRowCol(), TSEIMEXSetOrdAdapt()

Index of all TS routines
Table of Contents for all manual pages
Index of all manual pages