A New Simplified Weak Second-Order Scheme for Solving Stochastic Differential Equations with Jumps

Autor: Yang Li, Yaolei Wang, Taitao Feng, Yifei Xin
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics, Vol 9, Iss 3, p 224 (2021)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math9030224
Popis: In this paper, we propose a new weak second-order numerical scheme for solving stochastic differential equations with jumps. By using trapezoidal rule and the integration-by-parts formula of Malliavin calculus, we theoretically prove that the numerical scheme has second-order convergence rate. To demonstrate the effectiveness and the second-order convergence rate, three numerical experiments are given.
Databáze: Directory of Open Access Journals
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