Results 41 to 50 of about 51,558 (305)

Momentum-Based Adaptive Laws for Identification and Control

Aerospace
In this paper, we develop momentum-based adaptive update laws for parameter identification and control to improve parameter estimation error convergence and control system performance for uncertain dynamical systems.
Luke Somers, Wassim M. Haddad
doaj   +1 more source

An h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations

Axioms, 2023
For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
doaj   +1 more source

Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations

, 2011
By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke, Peter E. Kloeden, Kloeden, Peter E., Mao, Xuerong, Fuke Wu, Xuerong Mao   +5 more
core   +1 more source

On the Convergence Rate of the Caputo Fractional Difference Logistic Map of Nilpotent Matrices

Fractal and Fractional
The convergence rate of the Caputo fractional difference logistic map of nilpotent matrices is investigated in this paper. The divergence rate of the auxiliary parameters governing the dynamics of nilpotents is exponential and is multiple to the Lyapunov
Rasa Smidtaite, Algirdas Kazlauskas, Mark Edelman, Minvydas Ragulskis   +3 more
doaj   +1 more source

Exponential convergence for cellular neural networks with continuously distributed delays in the leakage terms

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, we consider a class of cellular neural networks with continuously distributed delays in the leakage terms. By applying Lyapunov functional method and differential inequality techniques, without assuming the boundedness conditions on the ...
Wanmin Xiong, Junxia Meng
doaj   +1 more source

Analytic Function Approximation by Path-Norm-Regularized Deep Neural Networks

Entropy, 2022
We show that neural networks with an absolute value activation function and with network path norm, network sizes and network weights having logarithmic dependence on 1/ε can ε-approximate functions that are analytic on certain regions of Cd.
Aleksandr Beknazaryan
doaj   +1 more source

ALGORITHM OF SEPARATION OF ROOTS ON A SEGMENT

Ìнформаційні технології в освіті, 2018
All known widespread algorithms of a numerical solution of an equation on a straight line segment assume that segments of isolation of roots are already known. These are such segments, on each of which a solution is one and only one.
Veitsblit O. Y., Shepel M. C., Vygodner I. V.   +2 more
doaj   +1 more source

Asymptotically accurate error estimates of exponential convergence for the trapezoidal rule

Discrete and Continuous Models and Applied Computational Science, 2021
In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace ...
Aleksandr A. Belov, Valentin S. Khokhlachev   +1 more
doaj   +1 more source

On the Lightweight Potential of Laser Additive Manufactured NiTi Triply Periodic Minimal Sheet Lattices

Advanced Engineering Materials, EarlyView.
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo, Shuo Qu, Shiming Gao, Xu Song   +3 more
wiley   +1 more source

A Space-Time Legendre-Petrov-Galerkin Method for Third-Order Differential Equations

Axioms, 2023
In this article, a space-time spectral method is considered to approximate third-order differential equations with non-periodic boundary conditions. The Legendre-Petrov-Galerkin discretization is employed in both space and time.
Siqin Tang, Hong Li
doaj   +1 more source