Convergence of an initial-value method for Fredholm integral equations
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A convergence theorem is established for a method of solving Fredholm integral equations due to Kalabaet al. To do this, an interpolation procedure is developed for obtaining an approximation of the resolvent kernel. The results of Anselone and Moore on collectively compact operators are then applied to show convergence.
KeywordsOptimization Theory Convergence Theorem Compact Operator Discrete Version Quadrature Rule
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