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Title:A critical evaluation of theresolution properties of b-spline and compact finite difference methods
Author(s):Kwok, Wai Yip; Moser, Robert D.; Jimenez, Javier
Subject(s):Splines
Fourier Analysis
Uniform And Non-uniform Mesh/grid
Abstract:Resolution properties of B-spline and compact finite difference schemes are compared using Fourier analysis in periodic domains, and tests based on solution of the wave and heat equations in finite domains, with uniform and non-uniform grids. Results show that compact finite difference schemes have a higher convergence rate and in some cases better resolution. However, B-spline schemes have a more straightforward and robust formulation, particularly near boundaries on non-uniform meshes.
Issue Date:2000-02
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 926
2000-6001
Genre:Technical Report
Type:Text
Language:English
URI:http://hdl.handle.net/2142/112635
ISSN:0073-5264
Sponsor:Air Force Office of Scientific Research
Rights Information:Copyright 2000 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04


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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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