Jianan Li

A Second-Order Product-Type Implicit-Explicit Runge-Kutta Method Preserving Unit Length and Energy Dissipation Structures for Gradient Flows of Vector Fields

Abstract. Gradient flows of unit vector fields arise in a wide range of physical models such as harmonic map heat flows, nematic liquid crystals, and magnetization dynamics. Designing numerical schemes that simultaneously preserve the unit length constraint and dissipate energy i...