Numerical algorithms for stationary statistical properties of dissipative dynamical systems
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Publication:262126
DOI10.3934/dcds.2016.36.4599zbMath1354.37077OpenAlexW2328389690MaRDI QIDQ262126
Publication date: 29 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2016.36.4599
global attractorGinzburg-Landau equationinvariant measureNavier-Stokes equationspatial discretizationspectral collocation methodtime discretizationdissipative systemstationary statistical propertyuniformly dissipative schemes
Simulation of dynamical systems (37M05) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Ginzburg-Landau equations (35Q56) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40) Stochastic difference equations (39A50)
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Cites Work
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- An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations
- A uniformly dissipative scheme for stationary statistical properties of the infinite Prandtl number model
- Upper semi-continuity of stationary statistical properties of dissipative systems
- Approximating stationary statistical properties
- Persistence of invariant sets for dissipative evolution equations
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Vorticity and turbulence
- Infinite-dimensional dynamical systems in mechanics and physics.
- On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation
- Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics
- Vorticity and Incompressible Flow
- Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations
- APPROXIMATION OF THE STATIONARY STATISTICAL PROPERTIES OF THE DYNAMICAL SYSTEM GENERATED BY THE TWO-DIMENSIONAL RAYLEIGH–BÉNARD CONVECTION PROBLEM
- Infinite Prandtl number limit of Rayleigh-Bénard convection
- Convergence of approximate attractors for a fully discrete system for reaction-diffusion equations
- Survey of the stability of linear finite difference equations
- Dissipativity of numerical schemes
- Approximation of stationary statistical properties of dissipative dynamical systems: Time discretization
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
- The Long-Time Behavior of Finite-Element Approximations of Solutions to Semilinear Parabolic Problems
- Error estimates of the Markov finite approximation of the Frobenius-Perron operator
- Mathematical Problems of Statistical Hydromechanics
- Backward Error Analysis for Numerical Integrators
- Attractors and Inertial Manifolds for Finite-Difference Approximations of the Complex Ginzburg--Landau Equation
- Approximation of the global attractor for the incompressible Navier-Stokes equations
- On the Convergence of a Time Discretization Scheme for the Navier-Stokes Equations
- Long time stability and convergence for fully discrete nonlinear galerkin methods
- On the global stability of a temporal discretization scheme for the Navier-Stokes equations
- Discrete gevrey regularity attractors and uppers–semicontinuity for a finite difference approximation to the ginzburg–landau equation
- Attractors and Error Estimates for Discretizations of Incompressible Navier–Stokes Equations
- A Semi-Implicit Scheme for Stationary Statistical Properties of the Infinite Prandtl Number Model
- Stationary statistical properties of Rayleigh‐Bénard convection at large Prandtl number
- The Andersen thermostat in molecular dynamics
- Theoretical and numerical comparison of some sampling methods for molecular dynamics
- On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations
- Ergodicity and the Numerical Simulation of Hamiltonian Systems
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