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Greenspan, D.; Parter, S. V.

Mildly nonlinear elliptic partial differential equations and their numerical solution. II. (English) Zbl 0135.38302

Numer. Math. 7, 129-146 (1965).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 32 Documents

Keywords:

numerical analysis
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References:

[1] Bers, L.: On mildly nonlinear partial difference equations of elliptic type. J. Res. Nat. Bur. Stand.51, 229-236 (1953). · Zbl 0053.40202
[2] Frank, P., andR. von Mises: Die Differential- und Integralgleichungen der Mechanik und Physik, I, second edition. New York: Rosenberg 1943. · Zbl 0061.16603
[3] Kalaba, R.: On nonlinear differential equations, the maximum operation, and monotone convergence. Jour. Math. Mech.8, 519-574 (1959). · Zbl 0092.07703
[4] Keller, J.: Electrohydrodynamics I: The equilibrium of a charged gas in a container. Jour. Rat. Mech. Anal.5, 715-724 (1956). · Zbl 0070.44207
[5] Parter, S. V.: Mildly non-linear elliptic partial differential equations and their numerical solution. I. Tech. Report #470, Math. Res. Ctr., U.S.Army, Univ. of Wis., 1964.
[6] Pohozaev, S. T.: The Dirichlet problem for the equation ?u=u 2. Soviet Mathematics 1143-1146 (1960). · Zbl 0097.08503
[7] Rutherford, D. E.: Some continuant determinants arising in physics and chemistry, II. Proc. Roy. Soc. Edin., Sect. A63, 232-241 (1949-1952). · Zbl 0046.01005
[8] Tanbakuchi, R.: Ph. D. Thesis, Univ. of Wisconsin (work in progress).
[9] Varga, R. S.: Matrix Iterative Analysis. New York: Prentice Hall 1962. · Zbl 0133.08602
[10] Wise, H., andC. M. Ablow: Diffusion and heterogeneous reaction, IV. Jour. Chem. Phys.35, 10-18 (1961). · doi:10.1063/1.1731874
[11] Schechter, S.: Iterative methods for non-linear problems. Trans. A.M.S.104, 179-189 (1962). · Zbl 0106.31801 · doi:10.1090/S0002-9947-1962-0152142-7
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