# Meeting Details

Title: A novel numerical method for a class of Cauchy problems SIAM Student Chapter Seminar Wen Cheng, Department of Mathematics, Penn State University 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.