activity
20172023
most citedTwo-parameter asymptotic expansions for elliptic equations with small geometric perturbation and high contrast ratio

3 citations · 9 across the 13 of their papers we have counts for

collaborators

31 papers

math.NA2023★ 1 cited

A convergent interacting particle method for computing KPP front speeds in random flows

Tan Zhang, Zhongjian Wang, Jack Xin +1

We aim to efficiently compute spreading speeds of reaction-diffusion-advection (RDA) fronts in divergence free random flows under the Kolmogorov-Petrovsky-Piskunov (KPP) nonlineari…

math.OC2022

Randomized methods for computing optimal transport without regularization and their convergence analysis

Yue Xie, Zhongjian Wang, Zhiwen Zhang

The optimal transport (OT) problem can be reduced to a linear programming (LP) problem through discretization. In this paper, we introduced the random block coordinate descent (RBC…

math.NA2022★ 1 cited

Deterministic-Statistical Approach for an Inverse Acoustic Source Problem using Multiple Frequency Limited Aperture Data

Yanfang Liu, Zhizhang Wu, Jiguang Sun +1

We propose a deterministic-statistical method for an inverse source problem using multiple frequency limited aperture far field data. The direct sampling method is used to obtain a…

physics.comp-ph2022

A variational neural network approach for glacier modelling with nonlinear rheology

Tiangang Cui, Zhongjian Wang, Zhiwen Zhang

In this paper, we propose a mesh-free method to solve full stokes equation which models the glacier movement with nonlinear rheology. Our approach is inspired by the Deep-Ritz meth…

physics.comp-ph2022★ 1 cited

A DeepParticle method for learning and generating aggregation patterns in multi-dimensional Keller-Segel chemotaxis systems

Zhongjian Wang, Jack Xin, Zhiwen Zhang

We study a regularized interacting particle method for computing aggregation patterns and near singular solutions of a Keller-Segal (KS) chemotaxis system in two and three space di…

math.NA2022

A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation

Zhizhang Wu, Ivan G. Graham, Dingjiong Ma +1

In this paper, we combine the Smolyak technique for multi-dimensional interpolation with the Filon-Clenshaw-Curtis (FCC) rule for one-dimensional oscillatory integration, to obtain…