68 citations · 316 across the 16 of their papers we have counts for
4 papers · 1 filter
Approximate Nearest Neighbors in the Space of Persistence Diagrams
Brittany Terese Fasy, Xiaozhou He, Zhihui Liu +3
Persistence diagrams are important tools in the field of topological data analysis that describe the presence and magnitude of features in a filtered topological space. However, cu…
Strong Approximation of Monotone Stochastic Partial Differential Equations Driven by Multiplicative Noise
Zhihui Liu, Zhonghua Qiao
We establish a general theory of optimal strong error estimation for numerical approximations of a second-order parabolic stochastic partial differential equation with monotone dri…
Strong convergence of numerical discretizations for semilinear stochastic evolution equations driven by multiplicative white noise
Jialin Hong, Chuying Huang, Zhihui Liu
For semilinear stochastic evolution equations whose coefficients are more general than the classical global Lipschitz, we present results on the strong convergence rates of numeric…
Strong Approximation of Stochastic Allen-Cahn Equation with White Noise
Zhihui Liu, Zhonghua Qiao
We establish an optimal strong convergence rate of a fully discrete numerical scheme for second order parabolic stochastic partial differential equations with monotone drifts, incl…