On the polynomials interpolating approximate solutions of singular integral equations

1983 ◽  
Vol 14 (4) ◽  
pp. 275-285 ◽  
Author(s):  
P. Srivastav ◽  
Erica Jen ◽  
David Colton
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Approximate Solutions

scholarly journals Approximate solutions for multi-dimensional singular integral equations and fast algorithms for their solving

2014 ◽  
Author(s):  
А.В. Васильев ◽  
В.Б. Васильев
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Fast Algorithms ◽  
Singular Integral Equations ◽  
Approximate Solutions

В работе получена оценка разности между континуальным и дискретным сингулярными интегралами в многомерном пространстве. Предлагается использование быстрого преобразования Фурье для нахождения приближенного решения уравнений, содержащих такие операторы.

Orthogonal Approximate Solution of Cauchy-type Singular Integral Equations

2003 ◽  
Vol 3 (2) ◽  
pp. 330-356
Author(s):  
R. Smarzewski ◽  
M. A. Sheshko
Keyword(s):  
Approximate Solution ◽  
Integral Equations ◽  
Singular Integral ◽  
Chebyshev Polynomials ◽  
Singular Integral Equations ◽  
Approximate Solutions ◽  
Cauchy Type

AbstractChebyshev polynomials of the first and second kind are used to derive approximate solutions of the Cauchy-type singular integral equations.

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