Abstract
The topic of the last chapter of this book is linear integral equations, of which
and
are typical examples. In these equations the functioncpis the unknown, and the so-calledkernel Kand the right-hand sidefare given functions. The above equations are calledFredholm integral equationsof thefirstandsecond kindrespectively. Since both the theory and the numerical approximations for integral equations of the first kind are far more complicated than for integral equations of the second kind, we will confine our presentation to the latter case.
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© 1998 Springer Science+Business Media New York
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Kress, R. (1998). Integral Equations. In: Numerical Analysis. Graduate Texts in Mathematics, vol 181. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0599-9_12
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DOI: https://doi.org/10.1007/978-1-4612-0599-9_12
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6833-8
Online ISBN: 978-1-4612-0599-9
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