Abstract
Finite difference methods, widely employed for the solution of differential (or other operator) equations are also used to solve approximately integral equations; they include the methods of Ritz, Bubnov-Galerkin, least squares, collocation as well as a variety of these methods, linked to the application of so called finite elements. One has also been made of grid methods which, in the case of integral equations, assume the form of “methods of mechanical quadrature”. The method of iteration has been applied for the solution of equations of the form u − Au = f, ║A║ < 1.
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© 1995 Springer Fachmedien Wiesbaden
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Mikhlin, S.G., Morozov, N.F., Paukshto, M.V. (1995). Approximate Solution of Integral Equations. In: Gajewski, H. (eds) The Integral Equations of the Theory of Elasticity. TEUBNER-TEXTE zur Mathematik, vol 135. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-11626-4_4
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DOI: https://doi.org/10.1007/978-3-663-11626-4_4
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-11627-1
Online ISBN: 978-3-663-11626-4
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