报 告 人：赵璇 副教授 东南大学
报告题目：Energy stablity of variable-step L1 scheme for the time-fractional Swift-Hohenberg equation
报告时间：2021年5月29日（周六）上午9:35
报告地点：静远楼204学术报告厅
主办单位：数学与统计学院、科学技术研究院
报告人简介：
赵璇，东南大学数学学院副教授，硕士生导师，主要研究方向：微分方程的高效快速算法设计和机器学习方法的应用和优化。
报告摘要：
This paper studies the variable-step L1 scheme for the time-fractional Swift-Hohenberg equation. We first consider the energy stability of the variable-step L1 scheme by constructing the modified discrete energy, and then extend our result to get the estimate of numerical solutions. By applying the discrete orthogonal convolution kernels, the L2 norm convergence of the proposed scheme can be obtained. A key ingredient in the proof of the error estimates is the construction of the transformation for the approximation of the temporal derivative. With this transformation, we can then use positive semi-definiteness of the discrete orthogonal convolution kernels and the discrete Gronwall inequality to obtain the optimal error estimates. Numerical experiments are presented to confirm the theoretical results.
邀请人：侯典明