Implementation of Milstein schemes for stochastic delay-differential equations with arbitrary fixed delays
Open Access
- 29 June 2026
- journal article
- Published by Elsevier in Applied Numerical Mathematics
- Vol. 229, 262-283
Abstract
No abstract availableFunding Information
- Queensland University of Technology
This publication has 23 references indexed in Scilit:
- On approximation of solutions of stochastic delay differential equations via randomized Euler schemeApplied Numerical Mathematics, 2023
- On the Stochastic Magnus Expansion and Its Application to SPDEsJournal of Scientific Computing, 2021
- The strong convergence and stability of explicit approximations for nonlinear stochastic delay differential equationsNumerical Algorithms, 2021
- A class of new Magnus-type methods for semi-linear non-commutative Itô stochastic differential equationsNumerical Algorithms, 2021
- Stochastic Nicholson’s blowflies delayed differential equationsApplied Mathematics Letters, 2019
- The truncated Euler–Maruyama method for stochastic differential delay equationsNumerical Algorithms, 2017
- A delay financial model with stochastic volatility; martingale methodPhysica A: Statistical Mechanics and its Applications, 2011
- A modified Milstein scheme for approximation of stochastic delay differential equations with constant time lagJournal of Computational and Applied Mathematics, 2006
- Continuous Markov processes and stochastic equationsRendiconti del Circolo Matematico di Palermo Series 2, 1955
- On the exponential solution of differential equations for a linear operatorCommunications on Pure and Applied Mathematics, 1954