On the backward Euler method for a generalized Ait-Sahalia-type rate model with Poisson jumps
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Publication:2035526
DOI10.1007/s11075-020-01009-1zbMath1489.65018arXiv2002.09203OpenAlexW3092259143MaRDI QIDQ2035526
Mengchao Wang, Yu-Ying Zhao, Xiao-Jie Wang
Publication date: 24 June 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2002.09203
Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)
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Cites Work
- Unnamed Item
- Optimal global approximation of stochastic differential equations with additive Poisson noise
- Exponential mean square stability of numerical methods for systems of stochastic differential equations
- A transformed jump-adapted backward Euler method for jump-extended CIR and CEV models
- Mean-square convergence of the BDF2-Maruyama and backward Euler schemes for SDE satisfying a global monotonicity condition
- On tamed Milstein schemes of SDEs driven by Lévy noise
- Numerical simulation of a strongly nonlinear Ait-Sahalia-type interest rate model
- Runge-Kutta methods for jump-diffusion differential equations
- First order strong approximations of scalar SDEs defined in a domain
- Strong convergence rates for backward Euler on a class of nonlinear jump-diffusion problems
- Numerical solution of stochastic differential equations with jumps in finance
- Compensated stochastic theta methods for stochastic differential equations with jumps
- Optimal global approximation of jump-diffusion SDEs via path-independent step-size control
- Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Generalized Ait-Sahalia-type interest rate model with Poisson jumps and convergence of the numerical approximation
- Mean-square convergence rates of stochastic theta methods for SDEs under a coupled monotonicity condition
- Choice of \({\theta}\) and mean-square exponential stability in the stochastic theta method of stochastic differential equations
- On a positivity preserving numerical scheme for jump-extended CIR process: the alpha-stable case
- Convergence and stability of the backward Euler method for jump-diffusion SDEs with super-linearly growing diffusion and jump coefficients
- Mean-square approximations of Lévy noise driven SDEs with super-linearly growing diffusion and jump coefficients
- On explicit approximations for Lévy driven SDEs with super-linear diffusion coefficients
- The truncated EM method for stochastic differential equations with Poisson jumps
- Numerical methods for nonlinear stochastic differential equations with jumps
- On Tamed Euler Approximations of SDEs Driven by Lévy Noise with Applications to Delay Equations
- The Order of Approximations for Solutions of Itô-Type Stochastic Differential Equations with Jumps
- Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- Financial Modelling with Jump Processes
- Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients
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