题目: IEQ approach--A novel numerical approach to solve the Gradient flow problem with high nonlinearity报告人:  Xiaofeng Yang, University of South Carolina时间: 2017. 7. 20 (星期四) 下午4:00地点: 管理楼1218

摘要: The free energies of gradient flow systems usually consist of various nonlinear potentials formulated in diverse complex formats which present a major challenge in the construction of efficient and accurate time discretization schemes. We overcome this challenge by developing a flexible and robust IEQ approach which enables us to develop time discretization schemes for a large class of gradient flow systems. More precisely, the developed schemes (i) are accurate (up to second order in time); (ii) are stable (unconditional energy dissipation law holds); and (iii) are efficient and easy  to implement (only need to solve some positive definite linear system at each time step.