Results 11 to 20 of about 834,576 (285)

An Explicit–Implicit Spectral Element Scheme for the Nonlinear Space Fractional Schrödinger Equation

open access: yesFractal and Fractional, 2023
In this paper, we solve the space fractional nonlinear Schrödinger equation (SFNSE) by developing an explicit–implicit spectral element scheme, which is formulated based on the Legendre spectral element approximation in space and the Crank–Nicolson leap ...
Zeting Liu, Baoli Yin, Yang Liu
doaj   +1 more source

Sussing merger trees: stability and convergence [PDF]

open access: yesMonthly Notices of the Royal Astronomical Society, 2016
16 pages, 14 figures, accepted by ...
Wang, Yang   +17 more
openaire   +4 more sources

An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation

open access: yesAdvances in Difference Equations, 2017
In this paper, we devote ourselves to establishing the unconditionally stable and absolutely convergent optimized finite difference Crank-Nicolson iterative (OFDCNI) scheme containing very few degrees of freedom but holding sufficiently high accuracy for
Hong Xia, Zhendong Luo
doaj   +1 more source

Local Discontinuous Galerkin Method Coupled with Nonuniform Time Discretizations for Solving the Time-Fractional Allen-Cahn Equation

open access: yesFractal and Fractional, 2022
This paper aims to numerically study the time-fractional Allen-Cahn equation, where the time-fractional derivative is in the sense of Caputo with order α∈(0,1). Considering the weak singularity of the solution u(x,t) at the starting time, i.e., its first
Zhen Wang, Luhan Sun, Jianxiong Cao
doaj   +1 more source

Spectral stability for a class of fourth order Steklov problems under domain perturbations [PDF]

open access: yes, 2019
We study the spectral stability of two fourth order Steklov problems upon domain perturba- tion. One of the two problems is the classical DBS\u2014Dirichlet Biharmonic Steklov\u2014problem, the other one is a variant. Under a comparatively weak condition
Ferrero, Alberto   +1 more
core   +1 more source

Difference functional inequalities and applications [PDF]

open access: yesOpuscula Mathematica, 2014
The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes.
Anna Szafrańska
doaj   +1 more source

Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller-Segel equation [PDF]

open access: yes, 2011
Starting from the quantitative stability result of Bianchi and Egnell for the 2-Sobolev inequality, we deduce several different stability results for a Gagliardo-Nirenberg-Sobolev inequality in the plane.
Carlen, Eric A., Figalli, Alessio
core   +1 more source

From Nonlinear Dominant System to Linear Dominant System: Virtual Equivalent System Approach for Multiple Variable Self-Tuning Control System Analysis

open access: yesEntropy, 2023
The stability and convergence analysis of a multivariable stochastic self-tuning system (STC) is very difficult because of its highly nonlinear structure. In this paper, based on the virtual equivalent system method, the structural nonlinear or nonlinear
Jinghui Pan, Kaixiang Peng, Weicun Zhang
doaj   +1 more source

Family Stability and Labor Market Gender Convergence [PDF]

open access: yesSSRN Electronic Journal, 2009
The present paper examines the historical development in the structure of the family in terms of marriage, divorce, fertility and labor 1886-2007 in order to map quantitative changes. The paper draws new information from novel Norwegian data. Along with the changing family relations we also quantify the closing of the gender gap by converging trends ...
Grytten, Ola Honningdal, Hunnes, Arngrim
openaire   +3 more sources

Numerical Scheme for Solving Time–Space Vibration String Equation of Fractional Derivative

open access: yesMathematics, 2020
In this paper, we present a numerical scheme and alternating direction implicit scheme for the one-dimensional time–space fractional vibration equation.
Asmaa M. Elsayed, Viktor N. Orlov
doaj   +1 more source

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