Results 41 to 50 of about 3,102,564 (352)

Nonlinear approximation for perturbations inΛCDM [PDF]

open access: yes, 2012
We describe inhomogeneities in a {\Lambda}CDM universe with a gradient series expansion and show that it describes the gravitational evolution far into the non-linear regime and beyond the capacity of standard perturbation theory at any order. We compare
G. Rigopoulos, W. Valkenburg
semanticscholar   +1 more source

Nonlinear Knowledge in Kernel Approximation [PDF]

open access: yesIEEE Transactions on Neural Networks, 2007
Prior knowledge over arbitrary general sets is incorporated into nonlinear kernel approximation problems in the form of linear constraints in a linear program. The key tool in this incorporation is a theorem of the alternative for convex functions that converts nonlinear prior knowledge implications into linear inequalities without the need to ...
O L, Mangasarian, E W, Wild
openaire   +2 more sources

Nonlinear least squares method

open access: yesCommunications, 1999
The paper deals with a comparison of linear and nonlinear least squares approximation. Its aim is to show that the well known transformations of nonlinear dependencies on linear dependencies do not always give exact results.
Jaromír Máca, Bohus Leitner
doaj   +1 more source

Nonlinear Ritz Approximation for the Camassa-Holm Equation by Using the Modify Lyapunov-Schmidt method

open access: yesمجلة بغداد للعلوم, 2023
            In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony.
hadeel G. Abd Ali   +1 more
doaj   +1 more source

Nonlinear Approximation by Trigonometric Sums [PDF]

open access: yesJournal of Fourier Analysis and Applications, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DeVore, R.A., Temlyakov, V.N.
openaire   +2 more sources

New a posteriori error estimates for hp version of finite element methods of nonlinear parabolic optimal control problems

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we investigate residual-based a posteriori error estimates for the hp version of the finite element approximation of nonlinear parabolic optimal control problems.
Zuliang Lu   +3 more
doaj   +1 more source

The Effects of Padé Numerical Integration in Simulation of Conservative Chaotic Systems

open access: yesEntropy, 2019
In this paper, we consider nonlinear integration techniques, based on direct Padé approximation of the differential equation solution, and their application to conservative chaotic initial value problems.
Denis Butusov   +4 more
doaj   +1 more source

The Theory and Applications of Hölder Widths

open access: yesAxioms
We introduce the Hölder width, which measures the best error performance of some recent nonlinear approximation methods, such as deep neural network approximation. Then, we investigate the relationship between Hölder widths and other widths, showing that
Man Lu, Peixin Ye
doaj   +1 more source

Improving the ensemble transform Kalman filter using a second-order Taylor approximation of the nonlinear observation operator [PDF]

open access: yesNonlinear Processes in Geophysics, 2014
The ensemble transform Kalman filter (ETKF) assimilation scheme has recently seen rapid development and wide application. As a specific implementation of the ensemble Kalman filter (EnKF), the ETKF is computationally more efficient than the conventional ...
G. Wu   +6 more
doaj   +1 more source

Nonlinear eigenvalue approximation

open access: yesNumerische Mathematik, 1988
For each \(\lambda\) in some domain D in the complex plane, let F(\(\lambda)\) be a linear, compact operator on a Banach space X and let F be holomorphic in \(\lambda\). Assuming that there is a \(\xi\) so that I- F(\(\xi)\) is not one-to-one, we examine two local methods for approximating the nonlinear eigenvalue \(\xi\).
Smith, P.W., Moss, W.F., Ward, J.D.
openaire   +1 more source

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