Strong and weak convergence rates of logarithmic transformed truncated EM methods for SDEs with positive solutions
From MaRDI portal
Publication:2088864
DOI10.1016/j.cam.2022.114758zbMath1504.65016OpenAlexW4292682799MaRDI QIDQ2088864
Ziyi Lei, Ziheng Chen, Si-qing Gan
Publication date: 6 October 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114758
stochastic differential equationstruncated Euler-Maruyama methodpositivity preserving propertystrong and weak convergence rates
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Related Items
An advanced numerical scheme for multi-dimensional stochastic Kolmogorov equations with superlinear coefficients, Positivity-preserving truncated Euler-Maruyama method for generalised Ait-Sahalia-type interest model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Euler approximations with varying coefficients: the case of superlinearly growing diffusion coefficients
- Convergence, nonnegativity and stability of a new Milstein scheme with applications to finance
- Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients
- The truncated Euler-Maruyama method for stochastic differential equations
- Property and numerical simulation of the Ait-Sahalia-Rho model with nonlinear growth conditions
- Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model
- First order strong approximations of scalar SDEs defined in a domain
- Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations
- Higher-order implicit strong numerical schemes for stochastic differential equations
- Strong convergence of the symmetrized Milstein scheme for some CEV-like SDEs
- Positivity preserving truncated Euler-Maruyama method for stochastic Lotka-Volterra competition model
- Positivity preserving logarithmic Euler-Maruyama type scheme for stochastic differential equations
- Moment explosions in stochastic volatility models
- Structure preserving stochastic integration schemes in interest rate derivative modeling
- On the discretization schemes for the CIR (and Bessel squared) processes
- An Euler-type method for the strong approximation of the Cox–Ingersoll–Ross process
- Euler scheme for SDEs with non-Lipschitz diffusion coefficient: strong convergence
- Balanced Milstein Methods for Ordinary SDEs
- Khasminskii-Type Theorems for Stochastic Differential Delay Equations
- Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in pth moment and stability
- Strong order 1/2 convergence of full truncation Euler approximations to the Cox–Ingersoll–Ross process