## 上海师范大学田红炯教授报告预告

【报告时间】：2019年6月14日（周五）4:30-5:30

【报告地点】：河南工业大学6377

Continuous numerical methods have many applications in the numerical solution of discontinuous ordinary differential equations (ODEs), delay differential equations, neutral differential equations, integro-differential equations, etc.

In this talk, we will introduce a continuous extension for the discrete approximate solution of ODEs generated by a class of block $\theta$-methods. Existence and uniqueness for the continuous extension are discussed. Convergence and absolute stability of the continuous block $\theta$-methods for ODEs are studied. As an application, we adopt the continuous block $\theta$-methods to solve delay differential equations and prove that the continuous block $\theta$-methods are $GP$-stable if and only if they are $A_{\omega}$-stable for ODEs. Numerical experiments are given to illustrate the performance of the continuous block $\theta$-methods.

【报告人简介】：

欢迎广大师生踊跃参加！