Results 1 to 10 of about 53 (50)

Uniform Approximation and Explicit Estimates for the Prolate Spheroidal Wave Functions

, 2015
International audienceFor xed c, Prolate Spheroidal Wave Functions (PSWFs), denoted by ψ n,c , form an orthogonal basis with remarkable properties for the space of band-limited functions with bandwith c.
Karoui, Abderrazek, Bonami, Aline
core   +1 more source

Advancing analytical solutions: Novel wave insights and methodologies for beta fractional Kuralay-II equations

Demonstratio Mathematica
This article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj   +1 more source

Integer–Fractional Order of Identical Eigenvalues Chaotic Oscillator: Analysis and Shadow Economy Application

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur, Faruk Ozger, Nasser Saeed, Surma Ibrabim, Viet-Thanh Pham, Giuseppe Grassi, Peiguang Wang   +6 more
wiley   +1 more source

Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential

Demonstratio Mathematica
In this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
doaj   +1 more source

The Partition of Unity Method for the Elastically Supported Beam

, 1998
The partition of unity method (PUM) is used to solve the Timoshenko beam with elastic support. Some important features of this new method are addressed, but the main concern is to overcome locking and boundary layer.
Ivo Babuska, Zhimin Zhang
core   +1 more source

A robust fitted numerical method for singularly perturbed turning point problems whose solution exhibits an interior layer

, 2020
In this paper we considerer singularly perturbed convection-diffusion-reaction problems with a turning point whose solution exhibits an interior layer. We establish bounds on the solution to these problems and their derivatives.
Patidar, Kailash C., Munyakazi, Justin B., Mbayi, Charles K.   +2 more
core  

Stiff Oscillatory Systems, Delta Jumps and White Noise

, 2001
Two model problems for stiff oscillatory systems are introduced. Both comprise a linear superposition of N AE 1 harmonic oscillators used as a forcing term for a scalar ODE.
E. Suli, Cano Stuart, B. Cano
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Analysis of membrane locking in hp FEM for a cylindrical shell

, 2007
In this paper we analyze the performance of the hp\GammaFinite Element Method for a cylindrical shell problem. Our theoretical investigations show that the hp approximation converges exponentially, provided that boundary layers stemming from the edge ...
A. M. Matache, C. Schwab, K. Gerdes
core  

Exponential Integrators For Quantum-Classical Molecular Dynamics

, 1999
. We study time integration methods for equations of mixed quantum-classical molecular dynamics in which Newtonian equations of motion and Schrodinger equations are nonlinearly coupled. Such systems exhibit different time scales in the classical and the
Marlis Hochbruck, Christian Lubich
core  

An Algorithm For The Numerical Solution Of Differential Equations Of Fractional Order

, 1997
. Differential equations involving derivatives of non-integer order have shown to be adequate models for various physical phenomena in areas like damping laws, diffusion processes, etc.
Kai Diethelm
core