Professor Yaozong Han was invited to give a lecture

发布时间: 2024-01-05 14:54:00

Topic： AI-Integration based Meshless Computational Methods for Solving Financial Option Pricing and Medical Imaging Problems

Speaker：Yaozong Han

Time：2023-01-04 15:00-16:00

Tencent Meeting ID： 669-2471-6718

Introduction：

    In this talk, an overview on global, local, quasi, residue, integration, and AI-based meshless computational methods via the use of radial basis function (RBF) and piece-wise polynomials will be presented. The main idea of the integration-based meshless computational method, Finite Integration Method (FIM), is to transform the original partial differential equation into an equivalent integral equation whose approximation can be sought by standard numerical integration techniques. Due to the advantages of unconditional stability of numerical integration and higher convergence rate of polynomial interpolation, the FIM method can solve boundary value problem under irregular domain with various kinds of stiffness. Recently, the FIM was combined with AI techniques to solve multi-dimensional problems such as 2D financial option pricing and 3D medical imaging.

Organizer

School of Mathematical Sciences, South China Normal University, Machine Learning and Optimization Computing Laboratory

Co-organizers

Guangdong Young Scientists Association