Results 31 to 40 of about 670,956 (337)

Multidimensional approximation of nonlinear dynamical systems [PDF]

, 2019
A key task in the field of modeling and analyzing nonlinear dynamical systems is the recovery of unknown governing equations from measurement data only.
Eisert, Jens, Gelß, Patrick, Klus, Stefan, Schütte, Christof   +3 more
core   +2 more sources

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

Journal 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, Hongyan Liu, Chunjuan Hou, Longzhou Cao   +3 more
doaj   +1 more source

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

مجلة 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, Mudhir A. Abdul Hussain   +1 more
doaj   +1 more source

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

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

Entropy, 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, Artur Karimov, Aleksandra Tutueva, Dmitry Kaplun, Erivelton G. Nepomuceno   +4 more
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

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