Abstract
In this chapter we will consider the approximate solution of integral equations of the second kind by replacing the kernels by degenerate kernels, that is, by approximating a given kernel K(x,y) through a sum of a finite number of products of functions of x alone by functions of y alone. In particular, we will describe the construction of appropriate degenerate kernels by interpolation of the given kernel and by orthonormal expansions. The corresponding error analysis will be settled by our results in Section 10.1.
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© 1989 Springer-Verlag Berlin Heidelberg
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Kress, R. (1989). Degenerate Kernel Approximation. In: Linear Integral Equations. Applied Mathematical Sciences, vol 82. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97146-4_11
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DOI: https://doi.org/10.1007/978-3-642-97146-4_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-97148-8
Online ISBN: 978-3-642-97146-4
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