Convergence of the compensated split-step \(\theta\)-method for nonlinear jump-diffusion systems
From MaRDI portal
Publication:1726218
DOI10.1186/s13662-017-1247-6zbMath1444.65004OpenAlexW2734129096WikidataQ59525011 ScholiaQ59525011MaRDI QIDQ1726218
Publication date: 19 February 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1247-6
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 (4)
Mean-square convergence and stability of two-step Milstein methods for stochastic differential equations with Poisson jumps ⋮ Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments ⋮ Compensated two-step Maruyama methods for stochastic differential equations with Poisson jumps ⋮ A long term analysis of stochastic theta methods for mean reverting linear process with jumps
Cites Work
- Unnamed Item
- Exponential mean square stability of numerical methods for systems of stochastic differential equations
- Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients
- Competitive Lotka-Volterra population dynamics with jumps
- Strong convergence rates for backward Euler on a class of nonlinear jump-diffusion problems
- Strong approximations of stochastic differential equations with jumps
- Convergence and stability analysis for implicit simulations of stochastic differential equations with random jump magnitudes
- Compensated stochastic theta methods for stochastic differential equations with jumps
- Convergence and stability of the compensated split-step \(\theta\)-method for stochastic differential equations with jumps
- Strong convergence and stability of implicit numerical methods for stochastic differential equations with non-globally Lipschitz continuous coefficients
- Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations
- Numerical methods for nonlinear stochastic differential equations with jumps
- Convergence and stability of the balanced methods for stochastic differential equations with jumps
- Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients
- On stochastic equations with respect to semimartingales I.†
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- JUMP SYSTEMS WITH THE MEAN-REVERTING γ-PROCESS AND CONVERGENCE OF THE NUMERICAL APPROXIMATION
- Strong convergence rates for backward Euler–Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients
This page was built for publication: Convergence of the compensated split-step \(\theta\)-method for nonlinear jump-diffusion systems