Results 21 to 30 of about 545,451 (275)

Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications [PDF]

Abstract and Applied Analysis, 2014
This paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial condition. The class of differential equations is assumed to be approximated by well-posed truncated Taylor series expansions up to a certain
De la Sen, M., Ibeas, A., Nistal, R.
openaire   +5 more sources

The Quantum Adiabatic Approximation and the Geometric Phase [PDF]

, 1996
A precise definition of an adiabaticity parameter $\nu$ of a time-dependent Hamiltonian is proposed. A variation of the time-dependent perturbation theory is presented which yields a series expansion of the evolution operator $U(\tau)=\sum_\ell U^{(\ell)}
A. Joye, A. Lenard, A. Messiah, A. Mostafazadeh, Ali Mostafazadeh, C. A. Mead, D. J. Moore, D. Suter, G. Hagedorn, G. Nenciu, I. I. Rabi, J. A. de Azcárraga, J. Anandan, J. J. Sakurai, L. I. Schiff, L. M. Garrido, M. Born, M. Nakahara, M. V. Berry, M. V. Berry, S. A. Fulling, S. J. Wang, T. Bitter, T. Kato, Y. Aharonov   +24 more
core   +2 more sources

Gain Scheduling Controller Synthesis for Control Moment Gyroscope Using Improved Approximation

SICE Journal of Control, Measurement, and System Integration, 2018
This paper presents gain scheduling (GS) control of a variable speed control moment gyroscope (VSCMG) based on sum of squares (SOS). Nonlinear motion equations of the VSCMG are complicated because they contain many trigonometric functions of angles of ...
Toru Inaba, Gan Chen, Isao Takami
doaj   +1 more source

Prediction of volcanic fractures based on prestack azimuthal anisotropy: A case study of LFS area in southern Songliao Basin [PDF]

Youqicang pingjia yu kaifa
Anisotropic parameter inversion based on pre-stack azimuth gather seismic data is one of the primary methods for fracture prediction, among which two algorithms, RüGER approximate equation and Fourier series expansion, are more widely used.
LI Ning,MIAO He,CAO Kaifang
doaj   +1 more source

An Operator-Based Scheme for the Numerical Integration of FDEs

Mathematics, 2021
An operator-based scheme for the numerical integration of fractional differential equations is presented in this paper. The generalized differential operator is used to construct the analytic solution to the corresponding characteristic ordinary ...
Inga Timofejeva, Zenonas Navickas, Tadas Telksnys, Romas Marcinkevicius, Minvydas Ragulskis   +4 more
doaj   +1 more source

Asymptotic Performance Analysis of Maximum Likelihood Algorithm for Direction-of-Arrival Estimation: Explicit Expression of Estimation Error and Mean Square Error

Applied Sciences, 2020
This paper proposes a new method to get explicit expressions of some quantities associated with performance analysis of the maximum likelihood DOA algorithm in the presence of an additive Gaussian noise on the antenna elements.
Ji Woong Paik, Kyu-Ho Lee, Joon-Ho Lee
doaj   +1 more source

An efficient finite element method based on dimension reduction scheme for a fourth-order Steklov eigenvalue problem

Open Mathematics, 2022
In this article, an effective finite element method based on dimension reduction scheme is proposed for a fourth-order Steklov eigenvalue problem in a circular domain.
Zhang Hui, Liu Zixin, Zhang Jun
doaj   +1 more source

Sub-Wavelength Plasmonic Crystals: Dispersion Relations and Effective Properties [PDF]

, 2009
We obtain a convergent power series expansion for the first branch of the dispersion relation for subwavelength plasmonic crystals consisting of plasmonic rods with frequency-dependent dielectric permittivity embedded in a host medium with unit ...
Fortes, Santiago, Lipton, Robert, Shipman, Stephen   +2 more
core   +4 more sources

Analytic approximations for special functions, applied to the modified Bessel functions I2(x) and I2/3(x)

Results in Physics, 2018
Simple analytic approximations valid for x⩾0 have been found for the modified Bessel functions I2(x) and I2/3(x), used amply in Electromagnetism and Mechanics applications.
Pablo Martin, Jorge Olivares, Fernando Maass, Elvis Valero   +3 more
doaj   +1 more source

Taylor expansion for derivative securities pricing as a precondition for strategic market decisions [PDF]

Problems and Perspectives in Management, 2018
The strategy of managing the pricing processes, in particular managing the dynamics of the price of the underlying asset and its volatility, the prices of indices, shares, options, the magnitude of financial flows, in the method of calculating the ...
Ivan Burtnyak, Anna Malytska
doaj   +1 more source