4 papers
A positivity-preserving unigrid method for elliptic PDEs
Ronald D. Haynes, Scott MacLachlan, Dawei Wang
While constraints arise naturally in many physical models, their treatment in mathematical and numerical models varies widely, depending on the nature of the constraint and the ava…
A high-order deferred correction method for the solution of free boundary problems using penalty iteration, with an application to American option pricing
Dawei Wang, Kirill Serkh, Christina Christara
This paper presents a high-order deferred correction algorithm combined with penalty iteration for solving free and moving boundary problems, using a fourth-order finite difference…
On the Asymptotic Linear Convergence Speed of Anderson Acceleration Applied to ADMM
Dawei Wang, Yunhui He, Hans De Sterck
Empirical results show that Anderson acceleration (AA) can be a powerful mechanism to improve the asymptotic linear convergence speed of the Alternating Direction Method of Multipl…
On the capacity dimension of the boundary of CAT(0) spaces
Dawei Wang
In this paper, we study the capacity dimension of the boundary of spaces. We first compare the two metrics on the boundary of a hyperbolic space, i.e., the visual…