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Schäfer, Eugen

Fehlerabschätzungen für Eigenwertnäherungen nach der Ersatzkernmethode bei Integralgleichungen. (German) Zbl 0431.65075

Numer. Math. 32, 281-290 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0431.65075

Cited in 1 Review
Cited in 5 Documents

MSC:

65R20 Numerical methods for integral equations
45C05 Eigenvalue problems for integral equations
65F15 Numerical computation of eigenvalues and eigenvectors of matrices

Keywords:

linear integral equation; eigenvalue problem; approximate kernel; linear algebraic eigenvalue problem; order of convergence; simple eigenvalues; eigenfunctions; superconvergence phenomena
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References:

[1] Baker, Ch.T.H.: The numerical treatment of integral equations. Oxford: Clarendon Press 1977 · Zbl 0373.65060
[2] Brakhage, H.: Zur Fehlerabschätzung für die numerische Eigenwertbestimmung bei Integralgleichungen. Numer. Math.3, 174-179 (1961) · Zbl 0109.09602 · doi:10.1007/BF01386016
[3] Hämmerlin, G.: Ein Ersatzkernverfahren zur numerischen Behandlung von Integralgleichungen 2. Art. ZAMM42, 439-463 (1962) · Zbl 0107.11201 · doi:10.1002/zamm.19620421004
[4] Hämmerlin, G.: Zur numerischen Behandlung von homogenen Fredholmschen Integralgleichungen 2. Art mit Splines. In: Spline Functions Karlsruhe, 1975 (K. Böhmer, G. Meinardus, W. Schempp, eds., 92-98, Springer lecture notes 501. Heidelberg: Springer Verlag 1976
[5] Hämmerlin, G., Schumaker, L.L.: Procedures for kernel approximation and solution of Fredholm integral equations of the second kind. CNA 128, Center of Numer. Anal., The Univ. of Texas at Austin 1977 · Zbl 0424.65065
[6] Spence, A.: Error bounds and estimates for eigenvalues of integral equations. Numer. Math.29, 133-147 (1978) · Zbl 0358.65109 · doi:10.1007/BF01390333
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