Numerical preservation issues in stochastic dynamical systems by \(\vartheta\)-methods
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Publication:2136218
DOI10.3934/JCD.2021023zbMath1492.65020OpenAlexW4205684708MaRDI QIDQ2136218
Stefano Di Giovacchino, Raffaele D'Ambrosio
Publication date: 10 May 2022
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jcd.2021023
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)
Preface. Special issue on structural dynamical systems ⋮ A long term analysis of stochastic theta methods for mean reverting linear process with jumps ⋮ Random periodic solutions of SDEs: existence, uniqueness and numerical issues ⋮ Numerical conservation issues for jump Pearson diffusions
Cites Work
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- A structural analysis of asymptotic mean-square stability for multi-dimensional linear stochastic differential systems
- Locally linearized methods for the simulation of stochastic oscillators driven by random forces
- A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods
- On the stability of \(\vartheta\)-methods for stochastic Volterra integral equations
- Numerical preservation of long-term dynamics by stochastic two-step methods
- On the stochastic response of a fractionally-damped Duffing oscillator
- Drift-preserving numerical integrators for stochastic Hamiltonian systems
- Evaluation of closure strategies for a periodically-forced Duffing oscillator with slowly modulated frequency subject to Gaussian white noise
- On the numerical structure preservation of nonlinear damped stochastic oscillators
- Perturbative analysis of stochastic Hamiltonian problems under time discretizations
- Long-term analysis of stochastic \(\theta\)-methods for damped stochastic oscillators
- Structure-preserving Runge-Kutta methods for stochastic Hamiltonian equations with additive noise
- Mean-square contractivity of stochastic \(\vartheta\)-methods
- A new numeric-analytical principle for nonlinear deterministic and stochastic dynamical systems
- Multilevel Monte Carlo Path Simulation
- Mean-Square and Asymptotic Stability of the Stochastic Theta Method
- Almost sure asymptotic stability analysis of the θ-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations
- Stability Analysis of Numerical Schemes for Stochastic Differential Equations
- Numerical Methods for Second‐Order Stochastic Differential Equations
- Handbook of stochastic methods for physics, chemistry and the natural sciences.
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