Results 71 to 80 of about 1,823 (241)

Doubly Periodic Functions and Floquet Theorem

Sultan Qaboos University Journal for Science
In complex analysis, an elliptic function is a meromorphic function that is periodic in two directions. Just as a periodic function of a real variable is defined by its values on an interval, an elliptic function is determined by its values on a ...
Nafya H. Mohammed Journal, Nazaneen Q.M. Saeed   +1 more
doaj   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

New views of some invariants associated with the Cartesian 2D velocity gradient tensor

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
wiley   +1 more source

Stabilization of wave equations with variable coefficient and delay in the dynamical boundary feedback

Electronic Journal of Differential Equations, 2017
In this article we consider the boundary stabilization of a wave equation with variable coefficients. This equation has an acceleration term and a delayed velocity term on the boundary.
Dandan Guo, Zhifei Zhang
doaj  

On a Level-Set Method for Ill-Posed Problems with Piecewise Nonconstant Coefficients

Journal of Applied Mathematics, 2013
We investigate a level-set-type method for solving ill-posed problems, with the assumption that the solutions are piecewise, but not necessarily constant functions with unknown level sets and unknown level values.
A. De Cezaro
doaj   +1 more source

Uncertainty Evaluation for Testing and Calibrating Mobile Sensors Only Using Short Collocation Periods

Quality and Reliability Engineering International, EarlyView.
ABSTRACT Low‐cost sensors are increasingly being used, and also considered for usage in regulatory contexts like air quality monitoring. Proper sensor calibration and uncertainty evaluation is necessary in such cases. With the advance of mobile sensors, for example, installed on top of a car, new test and calibration paradigms are required, in ...
Gertjan Kok, Shahin Tabandeh
wiley   +1 more source

Outracing a National Level Model Racing Car Champion: A Hybrid Model‐Based Data‐Driven Approach

Journal of Field Robotics, EarlyView.
ABSTRACT This paper discusses lap time optimization, focusing on a single lap without considering opponents in autonomous racing. The paper presents a control and optimization architecture composed of a model‐based low level controller and a higher level iterative learning algorithm with the goal of obtaining the fastest qualifying lap in autonomous ...
Mustafa Alp, Matteo Corno, Giulio Panzani, Sergio Matteo Savaresi   +3 more
wiley   +1 more source

An Approximate Solution for a Second Order Elliptic Inverse Coefficient Problem with Nonlocal Integral

Ibn Al-Haitham Journal for Pure and Applied Sciences
This article studies the nonlocal inverse boundary value problem for a rectangular domain, a second-order, elliptic equation and a two-dimensional equation. The main objective of the article is to find the unidentified coefficient and provide a solution
M. S. Hussein, Jehan A.Qahtan, Taysir E. Dyhoum   +2 more
doaj   +1 more source

On Alzer and Qiu's Conjecture for Complete Elliptic Integral and Inverse Hyperbolic Tangent Function

Abstract and Applied Analysis, 2011
We prove that the double inequality (π/2)(arthr/r)3/4+α ...
Yu-Ming Chu, Miao-Kun Wang, Ye-Fang Qiu
doaj   +1 more source

Machine learning‐driven advances in carbon‐based quantum dots: Opportunities accompanied by challenges

Responsive Materials, EarlyView.
Machine learning provides a unifying framework to connect structure, fluorescence properties, and applications of carbon‐based quantum dots. This review highlights how data‐driven strategies enable fluorescence regulation, reveal underlying mechanisms, and accelerate the rational design of functional carbon dots.
Liangfeng Chen, Siwei Yang, Xiangqian Cui, Ziheng Liu, Hang Wang, Yongqiang Li, Peng He, Miao Wang, Guqiao Ding   +8 more
wiley   +1 more source