Newton-Kantorovitch method for decoupled forward-backward stochastic differential equations
dc.contributor.author | Taguchi, Dai | |
dc.contributor.author | Tsuchiya, Takahiro | |
dc.date.accessioned | 2022-11-04T14:24:16Z | |
dc.date.available | 2022-11-04T14:24:16Z | |
dc.date.issued | 2021-12-20 | |
dc.description.abstract | We formulate a Newton-Kantorovitch method for solving decoupled forward-backward stochastic differential equations involving smooth and degenerate coefficients with uniformly bounded derivatives. We show that it converges globally and its rate of convergence is exponential. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 16 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Taguchi, D., & Tsuchiya, T. (2021). Newton-Kantorovitch method for decoupled forward-backward stochastic differential equations. <i>Electronic Journal of Differential Equations, 2021</i>(98), pp. 1-16. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16280 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Stochastic differential equation | |
dc.subject | Newton-type methods | |
dc.subject | Rate of convergence | |
dc.title | Newton-Kantorovitch method for decoupled forward-backward stochastic differential equations | |
dc.type | Article |