Results 61 to 70 of about 635,086 (230)

Moment and SDP relaxation techniques for smooth approximations of problems involving nonlinear differential equations

, 2010
Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinear differential equations.
Henrion, Didier, Lasserre, Jean-Bernard, Mevissen, Martin   +2 more
core   +2 more sources

Adaptive Local Maximum-Entropy Surrogate Model and Its Application to Turbine Disk Reliability Analysis

Aerospace, 2022
The emerging Local Maximum-Entropy (LME) approximation, which combines the advantages of global and local approximations, has an unsolved issue wherein it cannot adaptively change the morphology of the basis function according to the local ...
Jiang Fan, Qinghao Yuan, Fulei Jing, Hongbin Xu, Hao Wang, Qingze Meng   +5 more
doaj   +1 more source

Optimal approximation model of autocorrelation function of digital image

Tongxin xuebao, 2011
Non-stationary stochastic signal was divided into piecewise stationary stochastic signal,and reflecting the sig-nal’s characteristics by autocorrelation function of the piecewise stationary stochastic signal.Generally,the autocorrela-tion function was ...
CHENG Xiao-gang1, CHEN Qi-mei1, CHENG Hao2, LIU Guo-qing2, AN Ming-wei1   +4 more
doaj  

A Nonlinear Splitting Algorithm for Systems of Partial Differential Equations with self-Diffusion [PDF]

, 2015
Systems of reaction-diffusion equations are commonly used in biological models of food chains. The populations and their complicated interactions present numerous challenges in theory and in numerical approximation.
Beauregard, Matthew, Padgett, Joshua, Parshad, Rana   +2 more
core   +2 more sources

A fourth-order Runge-Kutta in the interaction picture method for coupled nonlinear Schrodinger equation

, 2010
A fourth-order Runge-Kutta in the interaction picture (RK4IP) method is presented for solving the coupled nonlinear Schrodinger equation (CNLSE) that governs the light propagation in optical fibers with randomly varying birefringence.
Ablowitz, Alperovich, Bosco, Carena, Cartaxo, Chow, Ciaramella, Evangelides, Forestieri, Ghafouri-Shiraz, Hult, Karlsson, Liang Chen, Marcuse, Matera, Menyuk, Menyuk, Secondini, Sinkin, Vannucci, Wai, Wang, Weiss, Xiaoyi Bao, Xie, Zhongxi Zhang   +25 more
core   +1 more source

Multidimensional Approximation of Nonlinear Dynamical Systems [PDF]

Journal of Computational and Nonlinear Dynamics, 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. There is a wide range of application areas for this important instance of system identification, ranging from industrial engineering and acoustic signal processing to stock market models.
Jens Eisert, Patrick Gelß, Christof Schütte, Christof Schütte, Stefan Klus   +4 more
openaire   +4 more sources

Successive approximate solutions for nonlinear oscillation and improvement of the solution accuracy with efficient non-perturbative technique

Journal of Low Frequency Noise, Vibration and Active Control, 2023
In the present study, several successive approximate solutions of the nonlinear oscillator are derived by using the efficient frequency formula. A systematical analysis of the formulation of the nonlinear frequency helps to establish a general periodic ...
Yusry O El-Dib, Haifa A Alyousef
doaj   +1 more source

A Probabilistic Numerical Method for Fully Nonlinear Parabolic PDEs

, 2009
We consider the probabilistic numerical scheme for fully nonlinear PDEs suggested in \cite{cstv}, and show that it can be introduced naturally as a combination of Monte Carlo and finite differences scheme without appealing to the theory of backward ...
Fahim, Arash, Touzi, Nizar, Warin, Xavier   +2 more
core   +4 more sources

Comparison of wavelet approximation order in different smoothness spaces

International Journal of Mathematics and Mathematical Sciences, 2006
In linear approximation by wavelet, we approximate a given function by a finite term from the wavelet series. The approximation order is improved if the order of smoothness of the given function is improved, discussed by Cohen (2003), DeVore (1998), and ...
M. R. Islam, S. F. Ahemmed, S. M. A. Rahman   +2 more
doaj   +1 more source

APPROXIMATE SOLUTIONS OF NONLINEAR OSCILLATORS

NWSA Academic Journals, 2017
The modified homotopy perturbation method (MHPM) is used for solving the differential equation of pendulum model. Comparisons are made between the standard HPM and the MHPM. The results show that this method is effective and can obtain high accuracy solutions by only one iteration.
openaire   +5 more sources