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Cited article:

A Convergent Interacting Particle Method for Computing KPP Front Speeds in Random Flows

Tan Zhang, Zhongjian Wang, Jack Xin and Zhiwen Zhang
SIAM/ASA Journal on Uncertainty Quantification 13 (2) 639 (2025)
https://doi.org/10.1137/23M1604564

Lagrangian, game theoretic, and PDE methods for averaging G-equations in turbulent combustion: existence and beyond

Jack Xin, Yifeng Yu and Paul Ronney
Bulletin of the American Mathematical Society 61 (3) 470 (2024)
https://doi.org/10.1090/bull/1838

A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits

Chou Kao, Yu-Yu Liu and Jack Xin
Multiscale Modeling & Simulation 20 (1) 107 (2022)
https://doi.org/10.1137/20M1387699

DeepParticle: Learning invariant measure by a deep neural network minimizing Wasserstein distance on data generated from an interacting particle method

Zhongjian Wang, Jack Xin and Zhiwen Zhang
Journal of Computational Physics 464 111309 (2022)
https://doi.org/10.1016/j.jcp.2022.111309

A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows

Junlong Lyu, Zhongjian Wang, Jack Xin and Zhiwen Zhang
SIAM Journal on Numerical Analysis 60 (3) 1136 (2022)
https://doi.org/10.1137/21M1410786

DeepParticle: Learning Invariant Measure by a Deep Neural Network Minimizing Wasserstein Distance on Data Generated from an Interacting Particle Method

Zhongjian Wang, Jack Xin and Zhiwen Zhang
SSRN Electronic Journal (2021)
https://doi.org/10.2139/ssrn.3983884

Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations

Xiaoying Dai, Xiong Kuang, Jack Xin and Aihui Zhou
Journal of Scientific Computing 84 (3) (2020)
https://doi.org/10.1007/s10915-020-01288-9

Ballistic Orbits and Front Speed Enhancement for ABC Flows

Tyler McMillen, Jack Xin, Yifeng Yu and Andrej Zlatoš
SIAM Journal on Applied Dynamical Systems 15 (3) 1753 (2016)
https://doi.org/10.1137/16M1059059

Asymptotic Growth Rates and Strong Bending of Turbulent Flame Speeds of G-Equation in Steady Two-Dimensional Incompressible Periodic Flows

Jack Xin and Yifeng Yu
SIAM Journal on Mathematical Analysis 46 (4) 2444 (2014)
https://doi.org/10.1137/130929990