哈尔滨工业大学（深圳）学术讲座

演讲人Speaker：    张志跃

题目Title: 极端条件下界面问题的解耦高精度数值方法

时间Date：2026年5月15日    Time：16:00 - 16:30

地点Venue：T2309

内容摘要Abstract：

Three accurate and efficient numerical methods have been proposed for interface problems with extreme conditions such as very big jump ratio, coefficient blow-up and geometric singularity interface. One of the schemes combines DNN technique with FDM to build decoupling second order method for the problem. The second one based on operator learning to construct predictor corrector method for interface problems, the main advantages of this method is saving computational costs and having higher accuracy, in addition, it can be applied to moving interface and 3D interface problems. The last one proposed a perturbation-correction framework based on Loacal Randomized Neural Networks(LRaNNs) for nonlinear interface problem. Examples confirmed theoretical results. Recent numerical results of some interesting problems such as shocks and Stefan problems have been shown in this talk.

个人简介(About the speaker):

张志跃，南京师范大学数学科学学院教授，博士生导师。2001年毕业于山东大学数学与系统科学学院计算数学专业，师从袁益让教授获理学博士学位。2002年至2004年在中国科学院大气物理研究所师从穆穆院士做博士后研究工作。美国数学评论员，中国工业与应用数学学会油水资源专委会委员，在第八届世界华人数学家大会做45分钟邀请报告。先后主持完成多项国家自然科学基金项目，发表学术论文八十余篇。目前主要的研究兴趣为偏微分方程数值解、PDE约束的最优控制问题、机器学习和计算流体动力学。