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Über die Lösung regulärer koerzitiver Rand- und Eigenwertaufgaben mit dem Galerkinverfahren. (German) Zbl 0185.41501

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[1] AGMON, S.: Lectures on elliptic boundary value problems. Toronto New York London: D. Van Norstrand Company, Inc. 1965. · Zbl 0142.37401
[2] ANSELONE, P.M., T.W. PALMER: Spectral analysis of collectively compact, strongly convergent operator sequences. Pacific J. Math.25, 423-431 (1968). · Zbl 0157.45203
[3] ATKINSON, K.E.: The numerical solution of the eigenvalue problem for compact integral operators. Trans. Am. Math. Soc.129, 458-465 (1967). · Zbl 0177.18803
[4] COLLATZ, L.: Eigenwertprobleme und ihre numerische Behandlung. Leipzig: Akademische Verlagsgesellschaft Becker & Erler Kom.-Ges. 1945. · Zbl 0061.18102
[5] COLLATZ, L.: The numerical treatment of differential equations. Berlin Heidelberg New York: Springer-Verlag 1966. · Zbl 0173.17702
[6] FICHERA, G.: Linear elliptic differential systems and eigenvalue problems. Berlin Heidelberg New York: Springer-Verlag 1965. · Zbl 0138.36104
[7] FICHERA, G.: Il calcolo degli autovalori. Atti dell’ VIII Congresso dell’ Unione Matematica Italiana, Trieste 1967.
[8] GOULD, S.H.: Variational methods for eigenvalue problems. Toronto: University of Toronto Press 1957. · Zbl 0077.09603
[9] GRIGORIEFF, R.D.: Approximation von Eigenwertproblemen und Gleichungen zweiter Art in Hilbertschen Räumen. Erscheint in Math. Ann. · Zbl 0177.41201
[10] GRIGORIEFF, R.D.: Über die Konvergenz des Galerkinverfahrens zur Lösung von Eigenwertaufgaben. Erscheint in ZAMM.
[11] HILDEBRANDT, S.: Über die Lösung nichtlinearer Eigenwertaufgaben mit dem Galerkinverfahren. Math. Z.101, 255-264 (1967). · Zbl 0155.46402 · doi:10.1007/BF01115104
[12] HILDEBRANDT, S., E. WIENHOLTZ: Constructive proofs of representation theorems in separable Hilbert space. Comm. Pure Appl. Math.17, 369-373 (1964). · Zbl 0131.13401 · doi:10.1002/cpa.3160170309
[13] KANTOROWITSCH, L.W., G.P. AKILOW: Funktionalanalysis in normierten Räumen. Berlin: Akademie-Verlag 1964.
[14] KANTOROWITSCH, L.W., W.I. KRYLOW: Näherungsmethoden der höheren Analysis. Berlin: Deutscher Verlag der Wissenschaften 1956.
[15] MICHLIN, S.G.: Variationsmethoden der mathematischen Physik. Berlin: Akademie-Verlag 1962. · Zbl 0098.36909
[16] MIKHLIN, S.G., K.L. SMOLITSKIY: Approximate methods for solution of differential and integral equations. New York: American Elsevier Publishing Company Inc. 1967.
[17] PETRYSHYN, W.V.: Direct and iterative methods for the solution of linear operator equations in Hilbert space. Trans. Amer. Math. Soc.105, 136-175 (1962). · Zbl 0106.09301 · doi:10.1090/S0002-9947-1962-0145651-8
[18] PETRYSHYN, W.V.: On a class of K-p.d. and non-K-p.d. operators and operator equations. J. Math. Anal. Appl.10, 1-24 (1965). · Zbl 0135.36503 · doi:10.1016/0022-247X(65)90142-3
[19] PETRYSHYN, W.V.: Constructional proof of Lax-Milgram lemma and its application to non-K-p.d. abstract and differential operator equations. J. Siam Num. Anal.2, 404-420 (1965). · Zbl 0139.09002
[20] PETRYSHYN, W.V.: Projection methods in nonlinear numerical functional analysis. J. Math. Mech.17, 353-372 (1967). · Zbl 0162.20202
[21] PETRYSHYN, W.V.: On the eigenvalue problem Tu-?Su=0 with unbounded and nonsymmetric operators T and S. Philos. Trans. Roy. Soc. London262, 413-458 (1968). · Zbl 0152.33804 · doi:10.1098/rsta.1968.0001
[22] STUMMEL, F.: Rand- und Eigenwertaufgaben in Sobolewschen Räumen. Berlin Heidelberg New York: Springer-Verlag 1969. · Zbl 0177.42402
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