Name
Title | ||
|---|---|---|
A new approach to the reduction of multiple integrals to simple ones using Chebyshev's kernels |
Abstract | ||
|---|---|---|
Purpose - This paper seeks to present an original method for transforming multiple integrals into simple integrals. Design/methodology/approach - This can be done by using a-dense curves invented by Y. Cherruault and A. Guillez at the beginning of the 1980s. Findings - These curves allow one to approximate the space R-n (or a compact of R-n) with the accuracy alpha. They generalize fractal curves of Mandelbrobdt. They can be applied to global optimization where the multivariables functional is transformed into a functional depending on a single variable. Practical implications - Applied to a multiple integral, the alpha-dense curves using Chebyshev's kernels permit one to obtain a simple integral approximating the multiple integral. The accuracy depends on the choice of alpha. Originality/value - The paper presents an original method for transforming integrals into simple integrals. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1108/03684920810851023 | KYBERNETES |
Keywords | Field | DocType |
cybernetics,integration,numerical flexibility | Mathematical optimization,Global optimization,Fractal,Chebyshev filter,Multiple integral,Mathematics,Cybernetics | Journal |
Volume | Issue | ISSN |
37 | 1-2 | 0368-492X |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| G. Mora | 1 | 15 | 3.42 |
| Y. Cherruault | 2 | 20 | 6.08 |