The Numerical Evaluation of Definite Integrals Affected by Singularities Near the Interval of Integration

1992 ◽  
pp. 111-120 ◽  
Author(s):  
D. B. Hunter
Author(s):  
W. Barrett

AbstractAn account is given of the application of Gaussian quadrature formulae to the numerical evaluation of certain definite integrals appearing in a recent paper by Craggs (2). Suitable changes of variable are used to effect a substantial reduction in the order of formula required. In comparing methods, use is made of an expression for the remainder as a contour integral, whose value is estimated with the aid of certain asymptotic formulae.


1990 ◽  
Author(s):  
P. SLEZIONA ◽  
MONIKA AUWETER-KURTZ ◽  
HERBERT SCHRADE

Author(s):  
Carlos Eduardo Ribeiro Santa Cruz Mendoza ◽  
Rafael Dunaiski ◽  
Edgar Ofuchi ◽  
Henrique Stel ◽  
Rigoberto Morales

2019 ◽  
Vol 10 (1) ◽  
pp. 222-237
Author(s):  
M. I. Qureshi ◽  
Kaleem A. Quraishi ◽  
Dilshad Ahamad

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