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Iterationsverfahren für monotone, nicht notwendig Lipschitzbeschränkte Operatoren im Hilbert-Raum. (German) Zbl 0239.65053

MSC:

65J05 General theory of numerical analysis in abstract spaces
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References:

[1] Ames, W.: Nonlinear partial differential equations in engineering. New York: Academic Press 1965. · Zbl 0176.39701
[2] Browder, F.: The solvability of non-linear functional equations. Duke Math. J.30, 557-566 (1963). · Zbl 0119.32503 · doi:10.1215/S0012-7094-63-03061-8
[3] Cryer, C.: On the numerical solution of a quasi-linear elliptic equation. J. ACM14, 363-375 (1967). · Zbl 0168.14605 · doi:10.1145/321386.321400
[4] D’Yakonov, E.: On the solution of some elliptic difference equations. J. Inst. Maths Applics7, 1-20 (1971). · Zbl 0213.37202 · doi:10.1093/imamat/7.1.1
[5] Frehse, J.: Existenz und Konvergenz von Lösungen nichtlinearer elliptischer Differenzengleichungen unter Dirichlet-Randbedingungen. Math. Z.109, 311-343 (1969). · Zbl 0176.09201 · doi:10.1007/BF01110121
[6] Petry, W.: Ein Iterationsverfahren zum Lösen von Randwertproblemen nichtlinearer Differentialgleichungen. Computing5, 27-44 (1970). · Zbl 0187.11102 · doi:10.1007/BF02234248
[7] Petryshyn, W.: On the extension and the solution of non linear operator equations. Ill. J. Math.10, 255-274 (1966). · Zbl 0139.31503
[8] Sachs, A.: Iterationsverfahren für elliptische (nichtlineare) Differenzenoperatoren in Divergenzform. Lecture Notes in Mathematics267, 305-322 (1972). Vorträge der Tagung ?Numerische Lösung nichtlinearer partieller Differential- und Integrodifferentialgleichungen? im Mathematischen Forschungsinstitut Oberwolfach,28. 11.?4.12. 1971. · doi:10.1007/BFb0061624
[9] Sibony, M.: Méthodes itératives pour les équations et inéquations aux dérivées partielles non linéaires de type monotone. Calcolo7, 65-183 (1970). · Zbl 0225.35010 · doi:10.1007/BF02575559
[10] Sibony, M.: Sur 1 approximation d’équations et inéquations aux dérivées partielles non linéaires de type monotone. J. Math. Anal. Appl.34, 502-564 (1971). · Zbl 0216.42201 · doi:10.1016/0022-247X(71)90095-3
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