A new approach to the reduction of multiple integrals to simple ones using Chebyshev's kernels

DOI10.1108/03684920810851023zbMath1176.65022OpenAlexW1972977835MaRDI QIDQ3639301

Yves Cherruault, Gaspar Mora

Publication date: 30 October 2009

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920810851023

zbMATH Keywords

global optimization\(\alpha\)-dense curvesChebyshev's kernelsfractal curves of Mandelbrodttransforming multiple integrals into simple integrals

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

• Characterization and generation of \(\alpha\)-dense curves
• Optimization by space‐densifying curves as a natural generalization of the Alienor method
• The theoretic calculation time associated to α‐dense curves
• Approximating multiple integrals via α‐dense curves
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