 About 19,500 results  books.google.com The degenerate kernel approximation is the simplest method for numerically
solving integral equations of the second kind as far as its understanding and
error analysis are concerned. However, because the actual implementation
requires the ... 

 books.google.com A.B. Bakushinskii Editorial comments. For approximation by equations with
degenerate kernels see Degenerate kernels, method of. References [A1)
MoISEIwitsch, B.L.: Integral equations, Longman, 1977. [A2] Hochstadt, H.:
Integral equations ... 

 books.google.com Various names, nullfield approach or extended boundary condition method (
EBCM), have been coined. ... In the Fredholm integral equations, the degenerate
kernel (or the socalled separate kernel) plays an important role. However, its ... 

 books.google.com 
 books.google.com We present a few of these methods, in a formal way, with simple examples. For
error estimates and other details, the reader is referred to Atkinson [1967]. 10.2.1
Method of Degenerate Kernels We consider the integral equation b f(x)—j ... 

 books.google.com is called a degenerate kernel. Here we may assume that the functions a,'(8) are
linearly independent of each other, and that the same is true of the functions B,(t)
. For, otherwise, one of these functions could be written as a linear combination ... 

 books.google.com 
 books.google.com Using the Nyström method with Gauss–Legendre quadrature, we find that the
characteristic values are For n = 2 : pul ... Replacement by a Degenerate Kernel
The Galerkin method and the method of least squares are special cases of the ... 

 books.google.com 6.2.2 Eigenvalues of a kernel of finite rank Finally, since the resolvent Hx can be
constructed explicitly, we can discuss the spectrum of a degenerate kernel rather
easily: (a) If, for a fixed value of A, (IAK)1 exists, then so does the resolvent ... 

 books.google.com The higher quadratures numerical methods are covered in the added (optional)
Chapter 7 in this edition. ... We will start this chapter on Fredholm integral
equations with the very special degenerate kernel, as it is easy to illustrate
without the ... 

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