scholarly journals Superconvergence of Piecewise Polynomial Collocations for Nonlinear Weakly Singular Integral Equations

1997 ◽  
Vol 9 (4) ◽  
pp. 379-406 ◽  
Author(s):  
Arvet Pedas ◽  
Gennadi Vainikko
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Piecewise Polynomial ◽  
Weakly Singular ◽  
Weakly Singular Integral Equations

scholarly journals TWO-GRID ITERATION METHOD FOR WEAKLY SINGULAR INTEGRAL EQUATIONS

2000 ◽  
Vol 5 (1) ◽  
pp. 76-85
Author(s):  
K. Hakk
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Iteration Method ◽  
Singular Integral Equations ◽  
Piecewise Polynomial ◽  
Weakly Singular ◽  
Weakly Singular Integral Equations ◽  
Piecewise Polynomial Collocation Method ◽  
Large Linear Systems ◽  
Polynomial Collocation

For the solution of weakly singular integral equations by the piecewise polynomial collocation method it is necessary to solve large linear systems. In the present paper a two‐grid iteration method for solving such systems is constructed and the convergence of this method is investigated.

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