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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

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Zhiyuan Hui

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Open access Aug 2026

An \({hp}\)-Version Time Stepping Spectral Monte Carlo Method for Semi-linear Parabolic Equations

Abstract. In this paper, we present an [Formula: see text]-version time-stepping spectral Monte Carlo method for solving semilinear parabolic equations. The key innovation lies in constructing an exponentially accurate stochastic algorithm that integrates a residual iteration scheme on Gauss-type nodes in both tempora...

Jia-Ying Feng, Zhi-Yuan Hui, Chang-Tao Sheng et al. · 0 citations

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