Re: [Libmesh-devel] New Predictor-Corrector implementation for DiffSystem framework

2008-10-04 Thread John Peterson
On Fri, Oct 3, 2008 at 12:40 PM, Adam C Powell IV <[EMAIL PROTECTED]> wrote: > On Fri, 2008-10-03 at 10:50 -0500, Roy Stogner wrote: >> On Thu, 2 Oct 2008, Nasser Mohieddin Abukhdeir wrote: >> >> > Moving back to John's point about the previously mentioned >> > Predictor/Corrector algorithm (assumi

Re: [Libmesh-devel] New Predictor-Corrector implementation for DiffSystem framework

2008-10-04 Thread Roy Stogner
On Fri, 3 Oct 2008, Roy Stogner wrote: >> I did some digging >> around, looked up the methods that John suggested, and found a variable >> coefficient multistep method (allows for unequally spaced data): >> >> Chapter 12 >> http://books.google.com/books?id=aqfMgehyGnEC > > That looks like an exce

Re: [Libmesh-devel] New Predictor-Corrector implementation for DiffSystem framework

2008-10-04 Thread Roy Stogner
On Thu, 2 Oct 2008, John Peterson wrote: > This was probably a confusing description but try it for > a simple example to convince yourself the first Newton step is not the > same as an explicit solve. John's right - in fact, consider the case where f(U) is linear. Then Newton will obviously h

Re: [Libmesh-devel] New Predictor-Corrector implementation for DiffSystem framework

2008-10-04 Thread John Peterson
On Thu, Oct 2, 2008 at 1:41 PM, Nasser Mohieddin Abukhdeir <[EMAIL PROTECTED]> wrote: > Hello all: >After some enlightening conversations with Roy, I am going to be > implementing a predictor/corrector AdaptiveTimeSolver class that does > the following: > > 1) An explicit solve (just an EulerSo