Results 31 to 40 of about 71,359 (311)

Nonlinear Approximation by Trigonometric Sums [PDF]

Journal 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

The Theory and Applications of Hölder Widths

Axioms
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]

Nonlinear 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, X. Yi, L. Wang, X. Liang, S. Zhang, X. Zhang, X. Zheng   +6 more
doaj   +1 more source

Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics

MATEC Web of Conferences, 2018
This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
doaj   +1 more source

A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem

Journal of Inequalities and Applications, 2018
In this paper, we investigate the spectral approximation of optimal control problem governed by nonlinear parabolic equations. A spectral approximation scheme for the nonlinear parabolic optimal control problem is presented. We construct a fully discrete
Lin Li, Zuliang Lu, Wei Zhang, Fei Huang, Yin Yang   +4 more
doaj   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

FEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source

Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation

Journal of Applied Mathematics, 2021
The main purpose of this paper is to solve the nonlinear Schrödinger equation using some suitable analytical and numerical methods such as Sumudu transform, Adomian Decomposition Method (ADM), and Padé approximation technique. In many literatures, we can
Metomou Richard, Weidong Zhao
doaj   +1 more source

Homogeneous Approximation of One- Dimensional Series of Iterated Integrals and Time Optimality

Journal of Optimization, Differential Equations and Their Applications, 2023
In the paper we consider nonlinear systems depending linearly on control with one-dimensional output. As is well known, under the analyticity requirement, the output can be expressed as a series of iterated integrals of controls with scalar coefficients.
Daria M. Andreieva, Svetlana Yu. Ignatovich   +1 more
doaj   +1 more source

Kernel Methods for the Approximation of Nonlinear Systems [PDF]

SIAM Journal on Control and Optimization, 2017
Rewritten to improve readability.
Jake V. Bouvrie, Boumediene Hamzi
openaire   +4 more sources

Longitudinal genome‐wide aneuploidy measurements in circulating cell‐free DNA to predict lack of benefit from pembrolizumab in patients with metastatic urothelial cancer

Molecular Oncology, EarlyView.
Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi, Stavros Makrodimitris, Sandra van Wilpe, Iris te Paske, Vanja de Weerd, Corine M. Beaufort, Hans M. Westgeest, Jens Voortman, Maureen J. B. Aarts, Maud Rijnders, Astrid A. M. van der Veldt, Ronald de Wit, Niven Mehra, Saskia M. Wilting, Debbie G. J. Robbrecht   +14 more
wiley   +1 more source