Results 91 to 100 of about 24,811,169 (263)
Chebyshev upper estimates for Beurling's generalized prime numbers [PDF]
, 2013 Let N be the counting function of a Beurling generalized number system and let pi be the counting function of its primes. We show that the L-1-condition integral(infinity)(1)vertical bar N(x) - ax/x vertical bar dx/x < infinity and the asymptotic ...
Vindas Diaz, Jasson
core +1 more source
Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep Underground Science and Engineering, EarlyView.The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
wiley +1 more source
Stochastic collocation on unstructured multivariate meshes
, 2015 Collocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming ...
Narayan, Akil, Zhou, Tao
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Injection into Orbit Optimization using Orthogonal Polynomials [PDF]
International Journal of Advanced Design and Manufacturing Technology, 2017 In this study, the problem of determining an optimal trajectory of a nonlinear injection into orbit problem with minimum time was investigated. The method was based on orthogonalpolynomial approximation.
Sedigheh Shahmirzaee Jeshvaghany +2 more
doaj
A fast numerical method for fractional partial differential equations
Advances in Difference Equations, 2019 In this paper, we use operational matrices of Chebyshev polynomials to solve fractional partial differential equations (FPDEs). We approximate the second partial derivative of the solution of linear FPDEs by operational matrices of shifted Chebyshev ...
S. Mockary, E. Babolian, A. R. Vahidi
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo +2 more
wiley +1 more source
An Improved Multi-Chaotic Public Key Algorithm Based on Chebyshev Polynomials
AlgorithmsDue to the similar characteristics of chaotic systems and cryptography, public key encryption algorithms based on chaotic systems are worth in-depth research and have high value for the future.
Chunfu Zhang +6 more
doaj +1 more source
Small Chebyshev systems made by products
Journal of Approximation Theory, 1989 The author obtains the main results as follows: Let \(F=\{f_ 0,f_ 1,...,f_ n\}\) be a set of real functions defined and continuous on [\(\alpha\),\(\beta\) ] and let \(1\leq ...
openaire +2 more sources
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Geometrically nonlinear static analysis of materially imperfect composite doubly curved shells is investigated via the generalised differential quadrature method. The effects of both shear and thickness deformation are considered through a thickness‐ and shear‐deformable third‐order theory formulated in curvilinear coordinates, while the ...
Behrouz Karami +3 more
wiley +1 more source