1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML3.2 EN">
<HTML>
<HEAD> <link rel="canonical" href="http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/TS/EIMEX.html" />
<META NAME="GENERATOR" CONTENT="DOCTEXT">
<TITLE>EIMEX</TITLE>
</HEAD>
<BODY BGCOLOR="FFFFFF">
<div id="version" align=right><b>petsc-3.4.2 2013-07-02</b></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>(), TSEIMEXSetMaxRows(), TSEIMEXSetRowCol(), TSEIMEXSetOrdAdapt()
<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>
<BR><A HREF="../../index.html">Table of Contents for all manual pages</A>
<BR><A HREF="../singleindex.html">Index of all manual pages</A>
</BODY></HTML>
|
