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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 , .
1.1 Orthogonal polynomials
For any integer , we denote
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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).
- (2)...
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Code Nektar – Implementation of tetrahedron-based spectral element methods http://www.cfm.brown.edu/people/tcew/nektar.html
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