烟台大学张通教授学术报告
题目:Unconditional stability of implicit/explicit decoupled schemes for the natural convection equations
报告人:张通教授,烟台大学
时间:2021.9.30 (周四),9:30--10:30
地点:腾讯会议(会议ID:729 733 142)https://meeting.tencent.com/dm/lLlThufJBpQx
摘要:
In this report, we consider and analyze the stability of implicit/explicit schemes for the natural convection equations, three kinds of numerical schemes are developed, which contain the Crank-Nicolson IMEX and BDF2-Adams-Bashforth (BDF2-AB) schemes. All numerical schemes treat the linear terms implicitly and the nonlinear terms explicitly, then the original nonlinear problem transforms into two linearized problems with constant coefficient matrix, the complexity of the calculation is reduced and a lot of storage is saved. The biggest feature of this work is the unconditional stability of the IMEX schemes for natural convection equations, which improves and supplements the published theoretical findings. Finally, some numerical examples are provided to show the performances of the considered numerical schemes.
报告人简介:
张通,烟台大学77779193永利官网教授。2010年博士毕业于西安交通大学计算数学专业,同年入职河南理工大学。2012-2013在巴西巴拉那联邦大学工业与应用研究所进行博士后研究工作。2021年入职烟台大学。工作期间先后获“河南省级优秀硕士学位论文指导教师”、“河南省高等学校青年骨干教师”、“优秀共产党员”等荣誉称号。主要研究领域为偏微分方程数值解法及其应用,已发表学术论文60余篇,主持完成国家自然科学基金青年项目、巴西教育部海外优秀青年人才计划项目等国家级、省部级项目6项。现主持在研国家自然科学基金面上项目和河南省自然科学优青基金项目各一项。
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