A New Class of 2m-Point Binary Non-Stationary Subdivision Schemes
No Thumbnail Available
Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
A new class of 2m-point non-stationary subdivision schemes (SSs) is presented, including some of their important properties, such as continuity, curvature, torsion monotonicity, and convexity preservation. The multivariate analysis of subdivision schemes is extended to a class of non-stationary schemes which are asymptotically equivalent to converging stationary or non-stationary schemes. A comparison between the proposed schemes, their stationary counterparts and some existing non-stationary schemes has been depicted through examples. It is observed that the proposed SSs give better approximation and more effective results.
Description
Ghaffar, Abdul/0000-0002-5994-8440; Nisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320
Keywords
Binary Approximating Schemes, Convergence, Shape Preservation, Curvature And Torsion, Lagrange Polynomials, Artificial intelligence, Class (philosophy), Curvature and torsion, Economics, New class, Kinematic and Dynamic Analysis of Robot Manipulators, Computational Mechanics, Computational Geometry, Geometry, Structural Analysis, Mathematical analysis, Engineering, Differential equation, Point (geometry), Market economy, QA1-939, FOS: Mathematics, Isogeometric Analysis in Computational Engineering, Shape preservation, Binary approximating schemes, Arithmetic, Geography, Shape Optimization, Pure mathematics, Mesh Generation Algorithms, Partial differential equation, Lagrange polynomials, Applied mathematics, Computer Graphics and Computer-Aided Design, Computer science, Stiffness Optimization, Archaeology, Control and Systems Engineering, Dynamic Modeling, Physical Sciences, Computer Science, Subdivision, Convergence, Binary number, Mathematics, Ordinary differential equation, Approximation by other special function classes, Interpolation in approximation theory, binary approximating schemes, Computational aspects related to convexity, shape preservation, curvature and torsion, Computer-aided design (modeling of curves and surfaces), convergence, Rate of convergence, degree of approximation, Convergence and divergence of series and sequences, Numerical smoothing, curve fitting
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Ghaffar, Abdul...et al. (2019). "A new class of 2m-point binary non-stationary subdivision schemes", Advances in Difference Equations, Vol. 2019, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
13
Source
Advances in Difference Equations
Volume
2019
Issue
1
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 9
Scopus : 16
Captures
Mendeley Readers : 9
SCOPUS™ Citations
16
checked on Feb 03, 2026
Web of Science™ Citations
12
checked on Feb 03, 2026
Page Views
4
checked on Feb 03, 2026
Google Scholar™
OpenAlex FWCI
2.79689289
Sustainable Development Goals
3
GOOD HEALTH AND WELL-BEING
7
AFFORDABLE AND CLEAN ENERGY
8
DECENT WORK AND ECONOMIC GROWTH
9
INDUSTRY, INNOVATION AND INFRASTRUCTURE
