Convergence of weak Euler approximation for nondegenerate stochastic differential equations driven by point and martingale measures
DOI10.1007/s10959-023-01260-xOpenAlexW4372354726MaRDI QIDQ6204777
Remigijus Mikulevičius, Changyong Zhang
Publication date: 2 April 2024
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10959-023-01260-x
rate of convergencestochastic differential equationsmartingale measurepoint measureweak Euler approximationHölder conditions
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Pricing of Options and Corporate Liabilities
- Weak convergence of finite element method for stochastic elastic equation driven by additive noise
- On the rate of convergence of simple and jump-adapted weak Euler schemes for Lévy driven SDEs
- Weak error for stable driven stochastic differential equations: expansion of the densities
- On the rate of convergence of weak Euler approximation for nondegenerate SDEs driven by Lévy processes
- Jump-adapted discretization schemes for Lévy-driven SDEs
- On some non asymptotic bounds for the Euler scheme
- Weak convergence analysis of the linear implicit Euler method for semilinear stochastic partial differential equations with additive noise
- On Hölder solutions of the integro-differential Zakai equation
- On the martingale problem for generators of stable processes with perturbations
- A numerical approximation of parabolic stochastic partial differential equations driven by a Poisson random measure
- Numerical solution of stochastic differential equations with jumps in finance
- Fractional Ornstein-Uhlenbeck Lévy processes and the telecom process: Upstairs and downstairs
- The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels
- On the martingale problem associated with nondegenerate Lévy operators
- The Euler scheme for Lévy driven stochastic differential equations
- Elliptic partial differential equations of second order
- Value function regularity in option pricing problems under a pure jump model
- On the weak approximation of a skew diffusion by an Euler-type scheme
- On the Euler-Maruyama scheme for spectrally one-sided Lévy driven SDEs with Hölder continuous coefficients
- The Euler scheme for Lévy driven stochastic differential equations: limit theorems.
- Weak order for the discretization of the stochastic heat equation driven by impulsive noise
- Weak rate of convergence of the Euler-Maruyama scheme for stochastic differential equations with non-regular drift
- On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem
- Strong convergence of the Euler-Maruyama approximation for a class of Lévy-driven SDEs
- Strong rate of convergence for the Euler-Maruyama approximation of SDEs with Hölder continuous drift coefficient
- Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise. II: Fully discrete schemes
- The approximate Euler method for Lévy driven stochastic differential equations
- Exact approximation rate of killed hypoelliptic diffusions using the discrete Euler scheme
- Numerical simulation of the solution of a stochastic differential equation driven by a Lévy process.
- Weak error for the Euler scheme approximation of diffusions with non-smooth coefficients
- Weak Convergence of Finite Element Approximations of Linear Stochastic Evolution Equations with Additive Lévy Noise
- Regularity of the Optimal Stopping Problem for Jump Diffusions
- Convergence of a discretization scheme for jump-diffusion processes with state–dependent intensities
- Optimal simulation schemes for Lévy driven stochastic differential equations
- First order convergence of weak Wong--Zakai approximations of L\'evy driven Marcus SDEs
- Rate of Convergence of the Euler Approximation for Diffusion Processes
- Finite Element Approximation of Stochastic Partial Differential Equations driven by Poisson Random Measures of Jump Type
- Discrétisation d'une équation différentielle stochastique et calcul approché d'espérances de fonctionnelles de la solution
- Rate of Weak Convergence of the Euler Approximation for Diffusion Processes with Jumps
- Lévy Processes and Stochastic Calculus
- Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise
- Transition density estimates for diagonal systems of SDEs driven by cylindrical $\alpha$-stable processes
- On the rate of convergence of strong Euler approximation for SDEs driven by Levy processes
- On dams with additive inputs and a general release rule
- Weak Euler Approximation for Itô Diffusion and Jump Processes
- A stochastic approximation for fully nonlinear free boundary parabolic problems
This page was built for publication: Convergence of weak Euler approximation for nondegenerate stochastic differential equations driven by point and martingale measures