Results 41 to 50 of about 3,102,564 (352)
Nonlinear approximation for perturbations inΛCDM [PDF]
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
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Nonlinear Knowledge in Kernel Approximation [PDF]
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
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Nonlinear least squares method
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
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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
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Nonlinear Approximation by Trigonometric Sums [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DeVore, R.A., Temlyakov, V.N.
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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
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The Effects of Padé Numerical Integration in Simulation of Conservative Chaotic Systems
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
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The Theory and Applications of Hölder Widths
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
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Improving the ensemble transform Kalman filter using a second-order Taylor approximation of the nonlinear observation operator [PDF]
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
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Nonlinear eigenvalue approximation
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.
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