Upper Semicontinuity of Attractors for Linear Multistep Methods Approximating Sectorial Evolution Equations

DOI10.2307/2153485zbMath0830.65049OpenAlexW1990755659MaRDI QIDQ4846169

Adrian T. Hill, Endre Süli

Publication date: 22 August 1995

Full work available at URL: https://doi.org/10.2307/2153485

zbMATH Keywords

stabilityconvergencesemigroupattractorBanach spacesemidiscretizationmultistep methodabstract dissipative sectorial evolution equation

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical solutions to equations with nonlinear operators (65J15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (7)

Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator ⋮ An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations ⋮ Stability of linear multistep methods and applications to nonlinear parabolic problems. ⋮ Stiffly accurate Runge–Kutta methods for nonlinear evolution problems governed by a monotone operator ⋮ Upper Semicontinuity of Attractors for Linear Multistep Methods Approximating Sectorial Evolution Equations ⋮ Variable time-step \(\vartheta\)-scheme for nonlinear evolution equations governed by a monotone operator ⋮ Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics

Uses Software

• RODAS

Cites Work

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