Quadrature formulae for evaluating singular integrals of oscillating functions

Computational Mathematics and Mathematical Physics

Volumn 36, Issue 8, 1996, Pages 1011-1015

  Ryabov, V M ^a  

^a NONE

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EID: 0041858785     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. KORNEICHUK A. A., Quadrature formulae for singular integrals. In The Numerical Solution of Differential and Integral Equations and Quadrature Formulae, 64-74. Nauka, Moscow, 1964.
2. OKECHA G. E., Quadrature formulae for Cauchy principal value integrals of oscillatory kind. Math. Comput. 49, 179, 259-268, 1987.
3. GAIER D., Lectures on the Theory of Approximation in the Complex Plane. Mir, Moscow, 1986.
4. GRADSHTEIN I. S. and RYZHIK I. M., Tables of Integrals, Sums, Series and Products. Fizmatgiz, Moscow, 1962.
5. PASHKOVSKII S., Computational Applications of Chebyshev Polynomials and Series. Nauka, Moscow, 1983.
6. BAKHVALOV N. S. and VASIL'YEVA L. G., The evaluation of integrals of oscillatory functions by interpolation of the nodes of Gauss formulae. Zh. Vychisl. Mat. Mat. Fiz. 8, 175-181, 1968.
7. MYSOVSKIKH I. P., Lectures on Computational Methods. Fizmatgiz, Moscow, 1962.