PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mary Anne Raymond.

Title:A novel numerical method for a class of Cauchy problems
Seminar:SIAM Student Chapter Seminar
Speaker:Wen Cheng, Department of Mathematics, Penn State University
Abstract:
In this talk we consider the parabolic equations with variable coefficients in $R^n$, and provide a novel approach to compute the solutions numerically. Our method is based on the newly developed Dyson-Taylor Commutator method, which approximates the Green's function for short time analytically. However, the results can be extended to large time as well by a bootstrap scheme. We also prove explicit error estimate in weighted Sobolev spaces, and test our results numerically and compare to other known methods.

Room Reservation Information

Room Number:MB106
Date:09 / 21 / 2010
Time:12:10pm - 01:25pm