| David Porter and David S. G. Stirling. Itegral equatios; A practical treatmet, from spectral theory to applicatios. Cambridge University Press, New York, 1990. |
....enforce equality of f, and f at the points , Because equation (50) constrains only , we can expect that f, j) f( j) in general. However, for suitably placed collocation points, the approximation will converge to the exact values 15.4. 2 The Least Squares Method The least squares inethod [29, 15] is a very straightforward application of Hilbert space methods to integral equations. Again, the goal is to find f ff X, that in some sense approximates f, only the criterion now is to choose f in the sense of least squares minimization; we seek f ff X, such that is minimized. That is, the ....
David Porter and David S. G. Stirling. Itegral equatios; A practical treatmet, from spectral theory to applicatios. Cambridge University Press, New York, 1990.
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