Discovering spectral methods

Basic tools
Discovering spectral methods

Authors : Christine BERNARDI, Yvon MADAY

Publication date: April 10, 2013 | Lire en français

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1. Basic tools

The domain in which orthogonal polynomials are defined is the interval Λ = ]- 1, 1[. For the reasons mentioned above, we also introduce the square, the cube, more generally the hypercube Ω = ]- 1, 1[ ^d , $d \geq 2$ .

1.1 Orthogonal polynomials

For any integer $N \geq 0$ , we denote $ℙ_{N} ($

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Spectral discretization of an elliptic equation

Bibliography

(1) - ABRAMOWITZ (M.), STEGUN (I.A.) - Handbook of mathematical functions with formulas, graphs, and mathematical tables, vol. 55 of National Bureau of Standards Applied Mathematics Series - For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. (1964).

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Basic tools Discovering spectral methods

1. Basic tools

1.1 Orthogonal polynomials

Bibliography

Basic tools
Discovering spectral methods