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   <div id="version" align=right><b>petsc-3.7.5 2017-01-01</b></div>
   <div id="bugreport" align=right><a href="mailto:petsc-maint@mcs.anl.gov?subject=Typo or Error in Documentation &body=Please describe the typo or error in the documentation: petsc-3.7.5 v3.7.5 docs/manualpages/TS/EIMEX.html "><small>Report Typos and Errors</small></a></div>
<A NAME="EIMEX"><H1>EIMEX</H1></A>
Time stepping with Extrapolated IMEX methods. 
<H3><FONT COLOR="#CC3333">Notes</FONT></H3>
The general system is written as
<P>
G(t,X,Xdot) = F(t,X)
<P>
where G represents the stiff part and F represents the non-stiff part. The user should provide the stiff part
of the equation using <A HREF="../TS/TSSetIFunction.html#TSSetIFunction">TSSetIFunction</A>() and the non-stiff part with <A HREF="../TS/TSSetRHSFunction.html#TSSetRHSFunction">TSSetRHSFunction</A>().
This method is designed to be linearly implicit on G and can use an approximate and lagged Jacobian.
<P>
Another common form for the system is
<P>
y'=f(x)+g(x)
<P>
The relationship between F,G and f,g is
<P>
G = y'-g(x), F = f(x)
<P>
References
E. Constantinescu and A. Sandu, Extrapolated implicit-explicit time stepping, SIAM Journal on Scientific
Computing, 31 (2010), pp. 4452-4477.
<P>

<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
  <A HREF="../TS/TSCreate.html#TSCreate">TSCreate</A>(), <A HREF="../TS/TS.html#TS">TS</A>, <A HREF="../TS/TSSetType.html#TSSetType">TSSetType</A>(), <A HREF="../TS/TSEIMEXSetMaxRows.html#TSEIMEXSetMaxRows">TSEIMEXSetMaxRows</A>(), <A HREF="../TS/TSEIMEXSetRowCol.html#TSEIMEXSetRowCol">TSEIMEXSetRowCol</A>(), <A HREF="../TS/TSEIMEXSetOrdAdapt.html#TSEIMEXSetOrdAdapt">TSEIMEXSetOrdAdapt</A>()
<BR>
<P>
<P><B><P><B><FONT COLOR="#CC3333">Level:</FONT></B>beginner
<BR><FONT COLOR="#CC3333">Location:</FONT></B><A HREF="../../../src/ts/impls/eimex/eimex.c.html#EIMEX">src/ts/impls/eimex/eimex.c</A>
<BR><A HREF="./index.html">Index of all TS routines</A>
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