Gaussian quadrature formulas for triangles

1973 ◽  
Vol 7 (3) ◽  
pp. 405-408 ◽  
Author(s):  
G. R. Cowper
Keyword(s):  
Gaussian Quadrature ◽  
Quadrature Formulas ◽  
Gaussian Quadrature Formulas

Padé approximation and orthogonal polynomials

1974 ◽  
Vol 10 (2) ◽  
pp. 263-270 ◽  
Author(s):  
G.D. Allen ◽  
C.K. Chui ◽  
W.R. Madych ◽  
F.J. Narcowich ◽  
P.W. Smith
Keyword(s):  
Power Series ◽  
Variational Method ◽  
Orthogonal Polynomials ◽  
Gaussian Quadrature ◽  
Quadrature Formulas ◽  
The Past ◽  
Gaussian Quadrature Formulas ◽  
Poles And Zeros ◽  
Formal Power ◽  
Determinant Theory

By using a variational method, we study the structure of the Padé table for a formal power series. For series of Stieltjes, this method is employed to study the relations of the Padé approximants with orthogonal polynomials and gaussian quadrature formulas. Hence, we can study convergence, precise locations of poles and zeros, monotonicity, and so on, of these approximants. Our methods have nothing to do with determinant theory and the theory of continued fractions which were used extensively in the past.

Gaussian Quadrature Formulas

1967 ◽  
Vol 21 (97) ◽  
pp. 125 ◽  
Author(s):  
Y. L. L. ◽  
A. H. Stroud ◽  
Don Secrest
Keyword(s):  
Gaussian Quadrature ◽  
Quadrature Formulas ◽  
Gaussian Quadrature Formulas
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