On the strong convergence rate for the Euler-Maruyama scheme of one-dimensional SDEs with irregular diffusion coefficient and local time
DOI10.1016/j.jco.2022.101695zbMath1504.65018OpenAlexW4284893844MaRDI QIDQ2099271
Publication date: 23 November 2022
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jco.2022.101695
stochastic differential equationrate of convergenceEuler-Maruyama schemeirregular diffusion coefficientAvikainen's inequalitySDEs with local time
Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Rate of convergence, degree of approximation (41A25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical method for SDEs with discontinuous drift
- The parametrix method for skew diffusions
- One-dimensional parabolic diffraction equations: pointwise estimates and discretization of related stochastic differential equations with weighted local times
- On some non asymptotic bounds for the Euler scheme
- Lower error bounds for strong approximation of scalar SDEs with non-Lipschitzian coefficients
- A note on Euler approximations for SDEs with Hölder continuous diffusion coefficients
- On random walk simulation of one-dimensional diffusion processes with discontinuous coeffi\-cients
- On irregular functionals of SDEs and the Euler scheme
- On the constructions of the skew Brownian motion
- On skew Brownian motion
- Examples of singular parabolic measures and singular transition probability densities
- Time inhomogeneous stochastic differential equations involving the local time of the unknown process, and associated parabolic operators
- A strong order \(1/2\) method for multidimensional SDEs with discontinuous drift
- Convergence of the Euler-Maruyama method for multidimensional SDEs with discontinuous drift and degenerate diffusion coefficient
- On the weak approximation of a skew diffusion by an Euler-type scheme
- The Euler scheme with irregular coefficients
- Existence of strong solutions for Itô's stochastic equations via approximations
- An adaptive strong order 1 method for SDEs with discontinuous drift coefficient
- On the regularisation of the noise for the Euler-Maruyama scheme with irregular drift
- A discretized version of Krylov's estimate and its applications
- Strong convergence for the Euler-Maruyama approximation of stochastic differential equations with discontinuous coefficients
- Multilevel Monte Carlo for exponential Lévy models
- Arbitrage in skew Brownian motion models
- A scheme for simulating one-dimensional diffusion processes with discontinuous coefficients
- On the uniqueness of solutions of stochastic differential equations
- On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations
- Strong rate of convergence for the Euler-Maruyama approximation of stochastic differential equations with irregular coefficients
- Multi-skewed Brownian motion and diffusion in layered media
- The Malliavin Calculus and Related Topics
- Multilevel Monte Carlo Path Simulation
- SELF EXCITING THRESHOLD INTEREST RATES MODELS
- One Dimensional Stochastic Differential Equations with No Strong Solution
- ON STRONG SOLUTIONS AND EXPLICIT FORMULAS FOR SOLUTIONS OF STOCHASTIC INTEGRAL EQUATIONS
- Exact simulation of one-dimensional stochastic differential equations involving the local time at zero of the unknown process
- The Euler–Maruyama scheme for SDEs with irregular drift: convergence rates via reduction to a quadrature problem
- On a symmetrization of diffusion processes
- DENSITY OF SKEW BROWNIAN MOTION AND ITS FUNCTIONALS WITH APPLICATION IN FINANCE
- Bounds for the fundamental solution of a parabolic equation
- An Example of Non-Uniqueness of the Solution of the Stochastic Equation of K. Ito
- Stochastic differential equations for Dirichlet processes
- A TRANSFORMATION OF THE PHASE SPACE OF A DIFFUSION PROCESS THAT REMOVES THE DRIFT
- Sharp lower error bounds for strong approximation of SDEs with discontinuous drift coefficient by coupling of noise
This page was built for publication: On the strong convergence rate for the Euler-Maruyama scheme of one-dimensional SDEs with irregular diffusion coefficient and local time