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20202025
most citedWeak error analysis for strong approximation schemes of SDEs with super-linear coefficients

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math.NA2025

On modified Euler methods for McKean-Vlasov stochastic differential equations with super-linear coefficients

Jiamin Jian, Qingshuo Song, Xiaojie Wang +2

We introduce a new class of numerical methods for solving McKean-Vlasov stochastic differential equations, which are relevant in the context of distribution-dependent or mean-field…

math.NA2024

Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients II: finite moments and higher-order schemes

Yuying Zhao, Xiaojie Wang, Zhongqiang Zhang

This paper is the second in a series of works on weak convergence of one-step schemes for solving stochastic differential equations (SDEs) with one-sided Lipschitz conditions. It i…

math.NA2023

Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients

Xiaojie Wang, Yuying Zhao, Zhongqiang Zhang

We present an error analysis of weak convergence of one-step numerical schemes for stochastic differential equations (SDEs) with super-linearly growing coefficients. Following Mils…

math.NA2021★ 1 cited

Weak error analysis for strong approximation schemes of SDEs with super-linear coefficients

Xiaojie Wang, Yuying Zhao, Zhongqiang Zhang

We present an error analysis of weak convergence of one-step numerical schemes for stochastic differential equations (SDEs) with super-linearly growing coefficients. Following Mils…

math.NA2020

On the backward Euler method for a generalized Ait-Sahalia-type rate model with Poisson jumps

Yuying Zhao, Xiaojie Wang, Mengchao Wang

This article aims to reveal the mean-square convergence rate of the backward Euler method (BEM) for a generalized Ait-Sahaliz interest rate model with Poisson jumps. The main diffi…