东南大学数学学院邀请专家申请表
报告人 | 曾凡海 | 单位 | 新加坡国立大学 |
报告题目 |
A new class of semi-implicit methods
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报告时间 | 2018/11/9 | 地点 | 数学学院第一报告厅 |
邀请人 | 曹婉容 | ||
报告摘要 | We propose a new class of semi-implicit methods for solving nonlinear fractional differential equations and study their stability. Several versions of our new schemes are proved to be unconditionally stable by choosing suitable parameters. Subsequently, we develop an efficient strategy to calculate the discrete convolution for the approximation of the fractional operator in the semi-implicit method and we derive an error bound of the fast convolution. The memory requirement and computational cost of the present semi-implicit methods with a fast convolution are improved significantly. Numerical simulations, including the solution of a system of two nonlinear fractional diffusion equations with different fractional orders in two-dimensions, are presented to verify the effectiveness of the semi-implicit methods.
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报告人简介 | 曾凡海博士一直从事微分方程数值方法及应用研究, 已经发表论文30余篇, 合作出版专著一部。论文主要发表在SIAM J. Numer. Anal, SIAM J. Sci. Comput., J. Sci. Comput., J. Comput. Phys., Comput. Methods Appl. Mech. Engrg. 等计算数学领域一流学术期刊上, 其中高被引论文7篇，单篇最高引用率120余次，并于2016年获得上海市优秀博士论文奖. | ||
