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arXiv · 2304.07779

The Contour integral method for Feynman-Kac equation with two internal states

Fugui Ma·Lijing Zhao·Yejuan Wang·Weihua Deng
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Abstract

We develop the contour integral method for numerically solving the Feynman-Kac equation with two internal states [P. B. Xu and W. H. Deng, Math. Model. Nat. Phenom., 13 (2018), 10], describing the functional distribution of particle's internal states. The striking benefits are obtained, including spectral accuracy, low computational complexity, small memory requirement, etc. We perform the error estimates and stability analyses, which are confirmed by numerical experiments.

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Fugui Ma, Lijing Zhao, Yejuan Wang, Weihua Deng. 2023-09-19. The Contour integral method for Feynman-Kac equation with two internal states. https://arxiv.org/abs/2304.07779

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