Results 21 to 30 of about 1,369,069 (287)

The Generalized Quadratic Gauss Sum and Its Fourth Power Mean

Mathematics, 2019
In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two ...
Shimeng Shen, Wenpeng Zhang
doaj   +1 more source

An Analytic Method for $S$-Expansion involving Resonance and Reduction [PDF]

, 2016
In this paper we describe an analytic method able to give the multiplication table(s) of the set(s) involved in an $S$-expansion process (with either resonance or $0_S$-resonant-reduction) for reaching a target Lie (super)algebra from a starting one ...
Ipinza, M. C., Lingua, F., Peñafiel, D. M., Ravera, L.   +3 more
core   +2 more sources

A fractional spline collocation method for the fractional order logistic equation [PDF]

, 2017
We construct a collocation method based on the fractional B-splines to solve a nonlinear differential problem that involves fractional derivative, i.e. the fractional order logistic equation.
Pezza, L., Pitolli, F.
core   +1 more source

Fractals Flow Simulation for Groundwater Flow with Varying Apertures by Using Analytic Element Method

Fractal and Fractional, 2022
The work presented in this article is composed of 2-dimensional groundwater flow simulations for fractured porous media with different aperture of fractures by using the Analytic Element Method. In order to investigate the flow behavior and its effect on
Maryam Atta, Sardar Muhammad Hussain, Farooq Hussain, Hasrat Hussain Shah, Hassan Shah, Jong-Suk Ro   +5 more
doaj   +1 more source

Solving variational inequalities defined on a domain with infinitely many linear constraints [PDF]

, 2007
We study a variational inequality problem whose domain is defined by infinitely many linear inequalities. A discretization method and an analytic center based inexact cutting plane method are proposed.
A.F. Veinott, B.C. Eaves, E.J. Anderson, E.W. Cheney, F. Facchinei, H.-J. Lüthi, J. Elzinga, J. Han, J.-L. Goffin, J.-L. Goffin, J.-L. Goffin, J.E. Kelley, M.A. Goberna, P. Marcotte, P.T. Harker, R. Horst, R. Reemtsen, R. Reemtsen, R. Tichatschke, S.-C. Fang, S.-C. Fang, S.-Y. Wu, S.I. Birbil, Shu-Cherng Fang, Soonyi Wu, T.L. Magnanti, Y.B. Zhao, Y.J. Zhu, Yu. Nesterov, Z.-Q. Luo, Z.-Q. Luo, Ş. İlker Birbil   +31 more
core   +2 more sources

Modeling Nonaxisymmetric Bow Shocks: Solution Method and Exact Analytic Solutions [PDF]

, 2000
A new solution method is presented for steady-state, momentum-conserving, non-axisymmetric bow shocks and colliding winds in the thin-shell limit. This is a generalization of previous formulations to include a density gradient in the pre-shock ambient ...
Bandiera R., Baranov V. B., Canto J., Francis P. Wilkin   +3 more
core   +3 more sources

On the two-term exponential sums and character sums of polynomials

Open Mathematics, 2019
The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Ma Yuankui, Zhang Wenpeng
doaj   +1 more source

Holographic superconductors: An analytic method revisit

Nuclear Physics B, 2020
We study a non-minimal holographic superconductors model in both non-backreaction and full-backreaction cases using an analytic matching method. We calculate the condensate of the dilaton and the critical temperature of the phase transition.
En-Jui Chang, Chia-Jui Chou, Yi Yang
doaj   +1 more source

Analogs of noninteger powers in general analytic QCD

, 2012
In contrast to the coupling parameter in the usual perturbative QCD (pQCD), the coupling parameter in the analytic QCD models has cuts only on the negative semiaxis of the Q^2-plane (where q^2 = -Q^2 is the momentum squared), thus reflecting correctly ...
, Anatoly V Kotikov, Bakulev A P, Bogoliubov N N, Bogoliubov N N, Chetyrkin K G, Cvetič G, Cvetič G, Cvetič G, Egorian E, Egorian E, Erdélyi A, Gardi E, Gorazd Cvetič, Gradshteyn I S, Kataev A L, Kotikov A V, Kotikov A V, Kotikov A V Velizhanin V N, Kourashev D S, Kurashev D S, Lipatov L N, Lipatov L N, Magradze B A, Nakamura K, Prudnikov A P, Shirkov D V, Shirkov D V, Shirkov D V Solovtsov I L, Tarasov O V   +29 more
core   +1 more source

Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity [PDF]

, 2000
Fuchsian equations provide a way of constructing large classes of spacetimes whose singularities can be described in detail. In some of the applications of this technique only the analytic case could be handled up to now.
Alan D Rendall, Andersson L, Anguige K, Friedrich H, Kichenassamy S, Kichenassamy S, Moncrief V, Moncrief V, Narita M, Newman R P A C, Newman R P A C, Taylor M E   +11 more
core   +3 more sources