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On Spectral Approximations Using Modified Legendre Rational Functions: Application to the ...

A new set of modified Legendre rational functions which are mutually orthogonal in L2(0, + ∞) is introduced. Various projection and interpolation results using the modified Legendre rational functions ...
JSTOR Daily

A TRIANGULAR SPECTRAL ELEMENT METHOD USING FULLY TENSORIAL RATIONAL BASIS FUNCTIONS

SIAM Journal on Numerical Analysis, Vol. 47, No. 3 (2009), pp. 1619-1650 (32 pages) A rational approximation in a triangle is proposed and analyzed in this paper. The ...