Results 21 to 30 of about 2,771,399 (244)

Optimal Control of the Van der Pol Oscillator Problem by Using Orthogonal Polynomial-Based Optimization [PDF]

Control and Optimization in Applied Mathematics
The orthogonal polynomials approximation method is widely regarded as a highly effective and versatile technique for solving optimal control problems in nonlinear systems.
Reza Dehghan
doaj   +1 more source

Linear stationary iterative methods for the force-based quasicontinuum approximation [PDF]

, 2012
Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy.
Luskin, Mitchell Barry, Ortner, Christoph   +1 more
core   +1 more source

The Information Bottleneck’s Ordinary Differential Equation: First-Order Root Tracking for the Information Bottleneck

Entropy, 2023
The Information Bottleneck (IB) is a method of lossy compression of relevant information. Its rate-distortion (RD) curve describes the fundamental tradeoff between input compression and the preservation of relevant information embedded in the input ...
Shlomi Agmon
doaj   +1 more source

Finite element approximation of a nonlinear cross-diffusion population model [PDF]

, 2003
We consider a fully discrete finite element approximation of the nonlinear cross-diffusion population model: Find u i, the population of the ith species, i = 1 and 2, such that ∂ui ∂t −Δ [ ci ui + ai u2i + ui uj] − bi ∇.
John W. Barrett, Blowey, J.F., James F. Blowey, Blowey, JF, Barrett, J.W., John W. Barrett, Barrett, JW   +6 more
core   +1 more source

Brain correlates of non-symbolic numerosity estimation in low and high mathematical ability children.

PLoS ONE, 2009
Previous studies have implicated several brain areas as subserving numerical approximation. Most studies have examined brain correlates of adult numerical approximation and have not considered individual differences in mathematical ability.
Yulia Kovas, Vincent Giampietro, Essi Viding, Virginia Ng, Michael Brammer, Gareth J Barker, Francesca G E Happé, Robert Plomin   +7 more
doaj   +1 more source

Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation [PDF]

, 2013
Natural Science Foundation of Fujian province [2009J01014]Fractional reaction-subdiffusion equations are widely used in recent years to simulate physical phenomena. In this paper, we consider a variable-order nonlinear reaction-subdiffusion equation.
Turner, I., Chen, Y., 陈昌明, Chen, Chang-Ming, Liu, F., Anh, V., Chen, C.M.   +6 more
core   +1 more source

Analytical and Numerical Monotonicity Analyses for Discrete Delta Fractional Operators

Mathematics, 2022
In this paper, first, we intend to determine the relationship between the sign of Δc0βy(c0+1), for 10 (the monotonicity of y), where Δc0βy(z) will be assumed to be negative for each z∈Nc0T:={c0,c0+1,c0+2,⋯,T} and some T∈Nc0:={c0,c0+1,c0+2,⋯}.
Kamsing Nonlaopon, Pshtiwan Othman Mohammed, Y. S. Hamed, Rebwar Salih Muhammad, Aram Bahroz Brzo, Hassen Aydi   +5 more
doaj   +1 more source

Numerical Scheme based on Non-polynomial Spline Functions for ‎the System of Second Order Boundary Value Problems arising in ‎Various Engineering Applications [PDF]

Journal of Applied and Computational Mechanics, 2022
Several applications of computational science and engineering, including population dynamics, optimal control, and physics, reduce to the study of a system of second-order boundary value problems.
Anju Chaurasia, Yogesh Gupta, Prakash C. Srivastava   +2 more
doaj   +1 more source

Explicit Solution of First-Order Differential Equation Using Aitken’s and Newton’s Interpolation Methods

Eurasian Journal of Science and Engineering, 2023
The struggle to find the analytic solution of several differential equations leads to several issues like difficulty in finding solutions, singularities, convergent issues, and stability.
Salisu Ibrahim
doaj   +1 more source

Highly Efficient Numerical Algorithm for Nonlinear Space Variable-Order Fractional Reaction–Diffusion Models

Fractal and Fractional, 2023
In this paper, we present a new highly efficient numerical algorithm for nonlinear variable-order space fractional reaction–diffusion equations. The algorithm is based on a new method developed by using the Gaussian quadrature pole rational approximation.
Muhammad Yousuf, Shahzad Sarwar
doaj   +1 more source