Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments
DOI10.1007/s11425-019-1781-6zbMath1469.65034OpenAlexW3090113728MaRDI QIDQ829106
Publication date: 5 May 2021
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-019-1781-6
strong convergencepiecewise continuous argumentjump diffusionmean-square exponential stabilitystiff stochastic differential equationcompensated split-step balanced method
Stability and convergence of numerical methods for ordinary differential equations (65L20) 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
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- A class of split-step balanced methods for stiff stochastic differential equations
- Convergence and stability of the split-step theta method for stochastic differential equations with piecewise continuous arguments
- Block boundary value methods applied to functional differential equations with piecewise continuous arguments
- Taylor approximation of the solutions of stochastic differential delay equations with Poisson jump
- On approximation of the solutions of delay differential equations by using piecewise constant arguments
- A note on the balanced method
- The Euler-Maruyama approximation of solutions to stochastic differential equations with piecewise constant arguments
- Compensated stochastic theta methods for stochastic differential equations with jumps
- Split-step backward balanced Milstein methods for stiff stochastic systems
- Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments
- A class of stochastic one-parameter methods for nonlinear SFDEs with piecewise continuous arguments
- Convergence and stability of the compensated split-step theta method for stochastic differential equations with piecewise continuous arguments driven by Poisson random measure
- Semi-implicit split-step numerical methods for a class of nonlinear stochastic differential equations with non-Lipschitz drift terms
- Convergence of the compensated split-step \(\theta\)-method for nonlinear jump-diffusion systems
- Backward Euler-Maruyama method applied to nonlinear hybrid stochastic differential equations with time-variable delay
- Asymptotic stability of balanced methods for stochastic jump-diffusion differential equations
- Numerical solutions of stochastic differential equations with piecewise continuous arguments under Khasminskii-type conditions
- Convergence of the Euler method of stochastic differential equations with piecewise continuous arguments
- Almost sure exponential stability of numerical solutions for stochastic delay differential equations with jumps
- Extended block boundary value methods for neutral equations with piecewise constant argument
- Stability of solutions of nonlinear neutral differential equations with piecewise constant delay and their discretizations
- Oscillation criteria for boundary value problems of high-order partial functional differential equations
- Asymptotical boundedness and moment exponential stability for stochastic neutral differential equations with time-variable delay and Markovian switching
- Numerical methods for nonlinear stochastic differential equations with jumps
- Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations
- Approximation of jump diffusions in finance and economics
- Stability analysis of Runge–Kutta methods for differential equations with piecewise continuous arguments of mixed type
- Generalised Discrete Gronwall Lemmas
- Convergence and stability of the balanced methods for stochastic differential equations with jumps
- The Order of Approximations for Solutions of Itô-Type Stochastic Differential Equations with Jumps
- Balanced Implicit Methods for Stiff Stochastic Systems
- Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
- Financial Modelling with Jump Processes
- A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument
- A Fundamental Mean-Square Convergence Theorem for SDEs with Locally Lipschitz Coefficients and Its Applications
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