Taylor expansion method for nonlinear evolution equations

DOI10.1007/BF02465392zbMath1144.65317OpenAlexW2319518710MaRDI QIDQ939867

Yin-Nian He

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465392

zbMATH Keywords

Navier-Stokes equationconvergence ratenonlinear evolution equationTaylor expansion method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear differential equations in abstract spaces (34G20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications of operator theory to differential and integral equations (47N20) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

• Inertial manifolds for nonlinear evolutionary equations
• Infinite-dimensional dynamical systems in mechanics and physics
• An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations
• On the Question of Turbulence Modeling by Approximate Inertial Manifolds and the Nonlinear Galerkin Method
• Nonlinear Galerkin Methods
• Long time stability and convergence for fully discrete nonlinear galerkin methods
• Error Estimates on a New Nonlinear Galerkin Method Based on Two-Grid Finite Elements
• On the Rate of Convergence of the Nonlinear Galerkin Methods
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