一、题目：

Laplacian modified high-order compact finite difference and ADI schemes for nonlinear parabolic problems

二、主讲人：

谢树森

三、摘要：

In this talk, Laplacian modified linearization combined with high-order compact finite difference and ADI schemes for nonlinear parabolic problems are derived and analyzed. The algebraic systems obtained by the present schemes are linear and have the same coefficient matrix at different time steps, which are easily to implementing. By using the discrete energy method, it is proven that the Laplacian modified finite difference schemes are unconditionally stable and convergent. Optimal order error estimates are given. Some numerical results are presented to show the effectiveness of our method.

Joint work with Wang Yanjie, Fu Hongfei, and Fu Kai

四、主讲人简介：

谢树森，中国海洋大学教授，数学院院长。长期从事微分方程数值解研究。

五、邀请人：

芮洪兴 数学学院教授

六、时间：

12月26日（周日）17:00

七、地点：

中心校区知新楼B座924报告厅

八、主办方：

山东大学数学学院