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中国科学院数学与系统研究院洪佳林研究员和新加坡国立大学吴杰教授来我院进行学术交流

报告一:

报告题目:Fundamental Convergence Theorems of Numerical Methods for Stochastic Differential Equations

报告人:洪佳林 研究员(中国科学院数学与系统科学研究院)

内容简介:

  In this talk we review theoretical results on the mean-square convergence of numerical methods for stochastic ordinary differential equations, stochastic delay differential equations, neutral stochastic delay differential equations, jump-diffusion differential equations, neutral stochastic delay differential equations with jump-diffusion, stochastic partial differential equations. These results are called fundamental convergence theorems of numerical methods for stochastic differential equations. In this talk we propose a fundamental convergence theorem of semidiscretisation for stochastic Schroedinger equations in temporal direction. And based on Feynman-Kac type formula on backward stochastic differential equations, we present a fundamental convergence theorem of numerical methods for backward stochastic differential equations, and apply it to the mean-square convergence of numerical schemes for backward stochastic differential equations.

报告地点:数理化楼A210

报告时间:2014710日上午900~1000

主办单位:辽宁师范大学数学学院

报告二:

报告题目:Applications of Topology in Combinatorics and Natural Sciences

报告人:吴杰 教授(新加坡国立大学数学系)

报告摘要: In this talk, we will look at a glance for the applications of topology in combinatorics and natural sciences. With taking the values of colorings in a space, we will then introduce the notation of graphic configuration spaces and indicate how the Euler characteristic and Betti numbers are related to chromatic polynomials in combinatorics. For the applications of topology to natural sciences, we will briefly go through some subjects in the area of applied topology.

报告地点:数理化楼A210

报告时间:2014710日上午1010~1110

主办单位:辽宁师范大学数学学院