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Physical Sciences and Engineering Mathematics Analysis

On discretizations of invariant foliations over inertial manifolds

Article ID Journal Published Year Pages File Type
9503305 Journal of Mathematical Analysis and Applications 2005 15 Pages PDF
Abstract
Invariant foliations over inertial manifolds of partial differential equations under numerical discretizations are studied. It is proved that the numerical method considered as a discrete dynamical system has C1-close invariant foliations. The rate of the C1-convergence is estimated as well.
Keywords
Invariant foliationInertial manifoldDiscretization
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
On discretizations of invariant foliations over inertial manifolds
Authors
Gyula Farkas,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Invariant foliation
Inertial manifold
Discretization
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
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Mathematical Physics
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