Special Session 39: Recent Developments in Gradient Flows: Theory, Numerics, and Applications
High-order energy stable numerical schemes for gradient flows
Xiaoming Wang
Eastern Institute of Technology Peoples Rep of China
Co-Author(s): Wenbin Chen, Zhaohui Fu, Haifeng Wang, Shufeng Wang
Abstract:
We present several high-order energy stable numerical schemes for gradient flows by combining exponential time differencing with either multi-step (MS) or Runge-Kutta (RK) method. All schemes are variable-step and unconditionally stable. Numerical experiments demonstrate the effectiveness of these schemes in both fixed-step and adaptive-step setting.