Numerical methods for backward stochastic differential equations: A survey
Author:
Affiliation:
1. Appian Corporation, Australia
2. Graduate School of Arts and Sciences / Mathematics and Informatics Center, The University of Tokyo, Japan
3. Bank of Japan, Japan
4. Graduate School of Economics, Hitotsubashi University, Japan
Publisher
Institute of Mathematical Statistics
Subject
Statistics and Probability
Reference333 articles.
1. C. Beck, W. E, and A. Jentzen. Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations. Journal of Nonlinear Science, 29(4):1563–1619, 2019.
2. C. Bender and T. Moseler. Importance sampling for backward SDEs. Stochastic Analysis and Applications, 28(2):226–253, 2010.
3. M. Bichuch, A. Capponi, and S. Sturm. Arbitrage-free XVA. Mathematical Finance, 28(2):582–620, 2018.
4. B. Bouchard and N. Touzi. Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations. Stochastic Processes and their Applications, 111(2):175–206, 2004.
5. P. Briand and C. Labart. Simulation of BSDEs by Wiener chaos expansion. The Annals of Applied Probability, 24(3):1129–1171, 2014.
Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Density analysis for coupled forward–backward SDEs with non-Lipschitz drifts and applications;Stochastic Processes and their Applications;2024-07
2. Numerical study of diffusive fish farm system under time noise;Scientific Reports;2024-06-26
3. Recent developments in machine learning methods for stochastic control and games;Numerical Algebra, Control and Optimization;2024
4. A recursive representation for decoupling time-state dependent jumps from jump-diffusion processes;Stochastics;2023-09-25
5. Numerical solution of the modified and non-Newtonian Burgers equations by stochastic coded trees;Japan Journal of Industrial and Applied Mathematics;2023-09
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3