Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
Dr. Ming-Jun Lai, Department of Mathematics, University of Georgia, Athens, GA 30602, U.S.A.
Inviter:
黄记祖
Title:
Recent Development of Multivariate Splines for Numerical Solution of PDE
Time & Venue:
2018.7.17 16:00-17:00 N702
Abstract:
I shall first explain multivariate splines which are piecewise polynomial functions defined over any given triangulation or tetrahedral partition. These functions can be used for scattered data interpolation, wavelet construction, and image analysis. Then I will emphasize how touse them for numerical solutions to partial differential equations. 2D Navier-Stokes equations and second order elliptic PDE in non-divergence form will be used to show the efficiency and effectiveness of my spline method.