2 papers
math.NA2022
Integration factor combined with level set method for reaction-diffusion systems with free boundary in high spatial dimensions
Shuang Liu, Xinfeng Liu
For reaction-diffusion equations in irregular domain with moving boundaries, the numerical stability constraints from the reaction and diffusion terms often require very restricted…
math.NA2022
Universal AMG Accelerated Embedded Boundary Method Without Small Cell Stiffness
Zhichao Peng, Daniel Appelö, Shuang Liu
We develop a universally applicable embedded boundary finite difference method, which results in a symmetric positive definite linear system and does not suffer from small cell sti…