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From optimal cubature formulae to Chebyshev lattices: a way towards generalised Clenshaw-Curtis quadrature

机译：从最佳的容积公式到切比雪夫格子：迈向广义Clenshaw-Curtis正交的一种方法

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status: published

机译：状态：已发布

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作者
Cools Ronald; Poppe Koen;
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年度 2011
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正文语种 en
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专利

1. Chebyshev lattices, a unifying framework for cubature with Chebyshev weight function [J] . Ronald Cools, Koen Poppe BIT numerical mathematics . 2011,第2期

机译：Chebyshev点阵，具有Chebyshev权重函数的统一培养框架
2. The error norm of Clenshaw-Curtis and related quadrature formulae [J] . Notaris Sotirios E. BIT numerical mathematics . 2016,第2期

机译：Clenshaw-Curtis的误差范数和相关的正交公式
3. Asymptotically optimal unsaturated lattice cubature formulae with bounded boundary layer [J] . Ramazanov M.D. Sbornik. Mathematics . 2013,第7a8期

机译：有界边界层的渐近最优不饱和晶格培养公式
4. A Mixed Quadrature Rule by Blending Clenshaw-Curtis and Gauss-Legendre Quadrature Rules for Approximation of Real Definite Integrals in Adaptive Environment [C] . Rajani B. Dash, Debasish Das International MultiConference of Engineers and Computer Scientists;IAENG International Conference on Artificial Intelligence and Applications;IAENG International Conference on Bioinformatics;IAENG International Conference on Computer Science;IAENG International Conference on Data Mining and Applications;IAENG International Conference on Imaging Engineering;IAENG International Conference on Communication Systems and Applications;IAENG International Conference on Internet Computing and Web Services;IAENG International Conference on Software Engineering;IAENG International Conference on Control and Automation;IAENG International Conference on Electrical Engineering;IAENG International Conference on Electrical Engineering Special Session;IAENG International Conference on Industrial Engineering;IAENG International Conference on Industrial Engineering Special Session;IAENG International Conference on Operations Research;IAENG International Conference on Scientific Computing . 2011

机译：通过混合Clenshaw-Curtis和Gauss-Legendre正交规则进行混合正交规则，以便近似自适应环境中真正的确定积分
5. Constructing cubature formulae on the disk, the triangle, and the sphere [D] . Heo, Sangwoo 1997

机译：在圆盘，三角形和球面上构造容积公式
6. Gaussian Quadrature Formulae for Arbitrary Positive Measures [O] . Andrew D. Fernandes, William R. Atchley 2006

机译：任意正测度的高斯正交公式
7. Multivariate Clenshaw-Curtis integration using Chebyshev lattices [O] . Poppe Koen, Cools Ronald 2010

机译：使用切比雪夫格的多元Clenshaw-Curtis积分
8. On Optimal Chebyshev-Type Quadratures. [R] . gautschi,walter monegato, giovanni 1976

机译：关于最优Chebyshev型方程。

From optimal cubature formulae to Chebyshev lattices: a way towards generalised Clenshaw-Curtis quadrature

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