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Optimal Stable Nonlinear Approximation [PDF]

open access: yesFoundations of Computational Mathematics, 2020
While it is well-known that nonlinear methods of approximation can often perform dramatically better than linear methods, there are still questions on how to measure the optimal performance possible for such methods.
A. Cohen   +3 more
semanticscholar   +5 more sources

Nonlinear approximation

Acta Numerica, 1998
This is a survey of nonlinear approximation, especially that part of the subject which is important in numerical computation. Nonlinear approximation means that the approximants do not come from linear spaces but rather from nonlinear manifolds. The central question to be studied is what, if any, are the advantages of nonlinear approximation over the ...
R. A. DeVore, R. A. DeVore
semanticscholar   +2 more sources

Restricted Nonlinear Approximation

Constructive Approximation, 2000
This paper introduces a new form of nonlinear approximation called restricted approximation. It is a generalization of \(n\)-term wavelet approximation in which a weight function is used to control the terms in the wavelet expansion of the approximant.
A. Cohen, R. DeVore, R. Hochmuth
semanticscholar   +3 more sources

Nonlinear Approximation for Natural Convection Flow Near a Vertical Plate With Thermal Radiation Effect

, 2021
A nonlinear approximation for natural convection boundary layer flow near a vertical wall under the influence of thermal radiation is analyzed. The governing nonlinear partial differential equations are transformed into ordinary differential equations ...
B. Jha, Gabriel Samaila
semanticscholar   +1 more source

Optimal nonlinear approximation

open access: yesManuscripta Mathematica, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. DeVore, R. Howard, C. Micchelli
semanticscholar   +2 more sources

Fuzzy Approximation Based Asymptotic Tracking Control for a Class of Uncertain Switched Nonlinear Systems

IEEE transactions on fuzzy systems, 2020
The problem of asymptotic tracking control for a class of uncertain switched nonlinear systems under fuzzy approximation framework is solved in this paper.
Xudong Zhao   +3 more
semanticscholar   +1 more source

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