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Konvergenzaussagen für Projektionsverfahren bei linearen Operatoren. (German) Zbl 0336.65031


MSC:

65J05 General theory of numerical analysis in abstract spaces
65L10 Numerical solution of boundary value problems involving ordinary differential equations
65D30 Numerical integration
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References:

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[2] Agmon, S., Douglis, A., Nirenberg, N.: Estimates near the boundary of elliptic partial differential equations satisfying general boundary conditions. I. Comm. Pure Appl. Math.12, 623-727 (1959) · Zbl 0093.10401
[3] Amann, H.: Zum Galerkin-Verfahren für die Hammersteinsche Gleichung. Arch. Rat. Mech. Anal.35, 114-121 (1969) · Zbl 0186.20902
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[11] Kantorowitsch, L. W., Akilow, G. P.: Funktionalanalysis in normierten Räumen. Berlin: Akademie-Verlag 1964 · Zbl 0359.46017
[12] Krasnoselskij, M. A.: Topological methods in the theory of nonlinear integral equations. Oxford: Pergamon Press 1964
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[14] Nitsche, J.: Vergleich der Konvergenzgeschwindigkeit des Ritzschen Verfahrens und der Fehlerquadratmethode. ZAMM49, 591-596 (1969) · Zbl 0221.65102
[15] Nitsche, J.: Zur Konvergenz von Näherungsverfahren bezüglich verschiedener Normen. Numer. Math.15, 224-228 (1970) · Zbl 0221.65092
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[17] Petryshyn, W. V.: Projection methods in nonlinear numerical functional analysis. J. Math. Mech.17, 353-372 (1967) · Zbl 0162.20202
[18] Philipps, J. L.: The use of collocation as a projection method for solving linear operator equations. SIAM J. Numer. Anal.9, 12-28 (1972)
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[20] Russel, R. D., Shampine, L. F.: A collocation method for boundary valueproblems. Numer. Math.19, 1-28 (1972) · Zbl 0221.65129
[21] Schatz, A. H.: An observation concerning Ritz-Galerkin methods with indefinite bilinear forms. Math. Comp.28, 959-962 (1974) · Zbl 0321.65059
[22] Shirali, S.: A note on Galerkin’s method for nonlinear equations. Aequations math.4, 198-200 (1970) · Zbl 0203.14802
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[24] Vainikko, G. M.: On the stability and convergence of the collocation method. Differential Equations1, 186-194 (1965) · Zbl 0171.36503
[25] Witsch, K.: Konvergenzaussagen für Projektionsverfahren bei linearen Operatoren, insbesondere Randwertaufgaben. Dissertation, Köln (1974) · Zbl 0336.65031
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