Parter, S. V. Mildly nonlinear elliptic partial differential equations and their numerical solution. I. (English) Zbl 0135.38301 Numer. Math. 7, 113-128 (1965). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 23 Documents Keywords:numerical analysis PDFBibTeX XMLCite \textit{S. V. Parter}, Numer. Math. 7, 113--128 (1965; Zbl 0135.38301) Full Text: DOI EuDML References: [1] Ablow, C. M., andC. L. Perry: Iterative solution of the Dirichlet problem for ?u=u 2. Jour. S.I.A.M.7, 459-467 (1959). · Zbl 0104.35003 [2] Bers, L.: On mildly nonlinear partial differential equations of elliptic type. Jour. Res. Nat. Bur. of Stand.51, 229-236 (1953). · Zbl 0053.40202 [3] Courant, R.: Partial Differential Equations (Courant-Hilbert Vol. II). New York 1962. · Zbl 0099.29504 [4] Douglas Jr., J.: Alternating direction iteration for mildly nonlinear elliptic difference equations. Numerische Mathematik3, 92-98 (1961). · Zbl 0115.34702 [5] ?: A correction to my paper ?Alternating direction iteration for mildly non-linear elliptic difference equations?. Numerische Mathematik4, 301-302 (1962). · Zbl 0115.34703 [6] Forsythe, G., andW. Wasow: Finite-Difference Methods for Partial Differential Equations. New York 1960. · Zbl 0099.11103 [7] Greenspan, D.: Programming Seminar Lecture Notes. Math. Research Center, United States Army, Univ. of Wis., 1963. [8] Greenspan, D., andS. V. Parter: Numerical methods for mildly non-linear elliptic partial differential equations II (To appear). MRC Report #474. [9] Hormander, L.: Linear Partial Differential Operators. New York 1963. [10] Levinson, N.: Dirichlet problem for ?u=f(P, u). Jour. of Math. and Mech.12, 567-576 (1963). · Zbl 0124.30901 [11] Nirenberg, L.: On elliptic partial differential equations. Annali della Scuola Normale Sup. di Pisa, Sci. fis. e mat. Ser. III (13), 115-162 (1959). [12] ?: Remarks on strongly elliptic partial differential equations. Comm. Pure and Appl. Math.8, 648-674 (1955). · Zbl 0067.07602 [13] Parter, S. V.: Review of [4] above. Computing Reviews3, 84, Review 1808 (1962). · Zbl 0115.28401 [14] Pohozaev, S. I.: The Dirichlet problem for the equation ?u=u 2. Soviet Mathematics1, 1143-1146 (1960). · Zbl 0097.08503 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.