ISSN:
0945-3245
Keywords:
AMS(MOS): 65R20
;
CR: 5.18
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary This paper deals with the question of the attainable order of convergence in the numerical solution of Volterra and Abel integral equations by collocation methods in certain piecewise polynomial spaces and which are based on suitable interpolatory quadrature for the resulting moment integrals. The use of a (nonlinear) variation of constants formula for the representation of the error function in terms of the defect allows for a unified treatment of equations with continuous and weakly singular kernels.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01395951
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