Asymptotic error distribution for numerical scheme of stochastic Volterra equation

This paper studies the asymptotic error distribution for the irregular discretization scheme of the stochastic Volterra equation. We obtain a stable convergence theorem for the error processes and derive the explicit form of the limiting process. A numerical experiment is also provided to illustrate the theoretical convergence rate.

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Publication Details

Journal
Communication in Statistics- Theory and Methods
Published
2026-10-27
DOI
https://doi.org/10.1080/03610926.2026.2750432
Primary Topic
Numerical methods for differential equations
Type
article
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article

Asymptotic error distribution for numerical scheme of stochastic Volterra equation

Hanchao Wang, Kexin Yu, Yi Guo
1 links
Communication in Statistics- Theory and Methods
Numerical methods for differential equations
article

Asymptotic error distribution for numerical scheme of stochastic Volterra equation

Hanchao Wang, Kexin Yu, Yi Guo
article en

Abstract

This paper studies the asymptotic error distribution for the irregular discretization scheme of the stochastic Volterra equation. We obtain a stable convergence theorem for the error processes and derive the explicit form of the limiting process. A numerical experiment is also provided to illustrate the theoretical convergence rate.

Communication in Statistics- Theory and Methods
Shandong University (CN)
Openalex Percentile: Top 12%
Numerical methods for differential equations
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Asymptotic error distribution for numerical scheme of stochastic Volterra equation — Hanchao Wang, Kexin Yu, et al. · Communication in Statistics- Theory and Methods (2026) | TGRS Research Map | TGRS