Accurate and efficient evaluation of Chebyshev tensor product surface

DOI10.1155/2017/1729287zbMath1426.65020OpenAlexW2757442151MaRDI QIDQ1992395

Chongwen Duan, Li-Zhi Cheng, Hao Jiang, Keshan He, Pei-Bing Du, Hong-Xia Wang

Publication date: 5 November 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/1729287

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Roundoff error (65G50) Approximation by polynomials (41A10)

Uses Software

• mctoolbox
• LBNL
• XBLAS

Cites Work

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• High-precision computation: mathematical physics and dynamics
• Accurate evaluation of a polynomial in Chebyshev form
• Accurate evaluation of a polynomial and its derivative in Bernstein form
• A floating-point technique for extending the available precision
• A General Condition Number for Polynomials
• Image analysis by Tchebichef moments
• Accuracy and Stability of Numerical Algorithms
• Design, implementation and testing of extended and mixed precision BLAS
• Accurate Sum and Dot Product

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