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math.NA2026
Deep-Picard Iteration for Space-time Fractional Diffusion PDEs
Zhijun Zeng, Zhitong Chen, Ling Qin +1
We propose a Deep-Picard iteration framework for high-dimensional nonlinear space-time fractional diffusion equations.The method is based on a nonlinear fractional Feynman--Kac fix…
math.NA2026
Flow Matching Transport for Quasi-Monte Carlo Integration
Zhijun Zeng, Jianlong Chen
High-dimensional integration with respect to complex target measures remains a fundamental challenge in computational science. While Flow Matching (FM) offers a powerful paradigm f…
math.NA2024
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise
Liya Guo, Liwei Lu, Zhijun Zeng +2
With the rapid increase of observational, experimental and simulated data for stochastic systems, tremendous efforts have been devoted to identifying governing laws underlying the…