Results 31 to 40 of about 136,395 (275)

Jacobi rational–Gauss collocation method for Lane–Emden equations of astrophysical significance

open access: yesNonlinear Analysis, 2014
In this paper, a new spectral collocation method is applied to solve Lane–Emden equations on a semi-infinite domain. The method allows us to overcome difficulty in both the nonlinearity and the singularity inherent in such problems.
Eid H. Doha   +3 more
doaj   +1 more source

Shifted Fractional-Order Jacobi Collocation Method for Solving Variable-Order Fractional Integro-Differential Equation with Weakly Singular Kernel

open access: yesFractal and Fractional, 2021
We propose a fractional-order shifted Jacobi–Gauss collocation method for variable-order fractional integro-differential equations with weakly singular kernel (VO-FIDE-WSK) subject to initial conditions.
Mohamed A. Abdelkawy   +4 more
doaj   +1 more source

On a method of approximation by Jacobi polynomials

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2005
Convolution structure for Jacobi series allows end point summability of Fourier-Jacobi expansions to lead an approximation of function by a linear combination of Jacobi polynomials. Thus, using Ces$\grave a$ro summability of some orders $>1$ at $x=1,$ we prove a result of approximation of functions on $[-1,1]$ by operators involving Jacobi polynomials.
Dubey, R.K., Pandey, R.K.
openaire   +2 more sources

Fractional order differentiation by integration with Jacobi polynomials [PDF]

open access: yes, 2012
The differentiation by integration method with Jacobi polynomials was originally introduced by Mboup, Join and Fliess. This paper generalizes this method from the integer order to the fractional order for estimating the fractional order derivatives of ...
Gibaru, Olivier   +3 more
core   +4 more sources

Covariant GUP Deformed Hamilton-Jacobi Method

open access: yesAdvances in High Energy Physics, 2017
We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action I of tunneling of a fermionic particle from a charged black hole can be written in the same form of that for a scalar particle.
Benrong Mu, Peng Wang, Haitang Yang
doaj   +1 more source

The graded Jacobi algebras and (co)homology

open access: yes, 2002
Jacobi algebroids (i.e. `Jacobi versions' of Lie algebroids) are studied in the context of graded Jacobi brackets on graded commutative algebras. This unifies varios concepts of graded Lie structures in geometry and physics.
  +44 more
core   +1 more source

Computing the Hessenberg matrix associated with a self-similar measure [PDF]

open access: yes, 2011
We introduce in this paper a method to calculate the Hessenberg matrix of a sum of measures from the Hessenberg matrices of the component measures. Our method extends the spectral techniques used by G.
A. Giraldo   +22 more
core   +2 more sources

Can local single-pass methods solve any stationary Hamilton-Jacobi-Bellman equation? [PDF]

open access: yes, 2013
The use of local single-pass methods (like, e.g., the Fast Marching method) has become popular in the solution of some Hamilton-Jacobi equations. The prototype of these equations is the eikonal equation, for which the methods can be applied saving CPU ...
Cacace, Simone   +2 more
core   +4 more sources

Hamilton-Jacobi Method for Mechanical Systems on Time Scales

open access: yesComplexity, 2018
This paper presents the Hamilton-Jacobi method for integrating the equations of motion of mechanical systems on time scales. We give the criterion and four basic forms of canonical transformation on time scales.
Xiang-Hua Zhai, Yi Zhang
doaj   +1 more source

The characteristic function for complex doubly infinite Jacobi matrices [PDF]

open access: yes, 2017
We introduce a class of doubly infinite complex Jacobi matrices determined by a simple convergence condition imposed on the diagonal and off-diagonal sequences. For each Jacobi matrix belonging to this class, an analytic function, called a characteristic
Štampach, František
core   +2 more sources

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