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Mathematics and Computer Science Division
"Exploring Non Linear Algorithms For The Solution Of Partial Differential Equations"

DATE: March 9, 2011
TIME: 10:30 AM - 11:30 AM
SPEAKER: Pawan Kumar, LANS Postdoc Interviewee
LOCATION: Building 240 Seminar Room 4301, Argonne National Laboratory
HOST: Barry Smith

Description:
The talk is broadly divided into two parts. First part discusses the work of the speaker in the development of structured and unstructured preconditioners and their analysis (classical and Fourier).

In the second part, the speaker reviews the nonlinear algorithms with his own insights, in particular, several ingredients like full approximation scheme, nonlinear acceleration techniques their advantages and disadvantages are outlined. An understanding of the advantages and disadvantages of Homotopy solvers over Newton solvers is discussed. A brief discussion of Groebner basis and its effectiveness in solving the non linear equations is also
discussed.


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