The application of a collocation method with respect to the Chebyshev nodes of second kind together with a Newton iteration to a class of nonlinear Cauchy singular integral equations is discussed. The investigation of the convergence of the Newton method is based on the stability of the respective c
Cauchy singular integral equation method for transient antiplane dynamic problems
β Scribed by Chen Weijiang; Tang Renji
- Book ID
- 107752688
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 496 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0013-7944
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π SIMILAR VOLUMES
Within the assumptions of linear elastic fracture mechanics, dynamic stresses generated by a crack growth event are examined for the case of an infinite body in the state of plane strain subjected to mode I loading. The method of analysis developed in this paper is based on an integral equation in
## Abstract We prove representations for the coefficient matrices of the linear systems which occur by applying certain collocation methods to Cauchy singular integral equations. These representations use fast discrete trigonometric transforms and give the possibility to design fast algorithms for