References
[1]Aleksandrov, P. S.: Combinatorial topology, vol. I. Rochester, N.Y.: Graylock Press 1956.
Aubin, J. P.: Approximations des espaces de distributions et des opérateurs différentiels. Thesis, U. de Paris, France 1965.
Browder, F.: Approximation-solvability of nonlinear functional equations in normed linear spaces. To appear in Arch. Rational Mech. Anal.
Pereyra, V.: On improving an approximate solution of a functional equation by deferred corrections. Numer. Math.8, 376–391 (1966).
—: Highly accurate discrete methods for nonlinear problems. Ph. D. Thesis, U. of Wisconsin, Madison 1967.
— Iterated deferred corrections for nonlinear boundary value problems. To appear.
Petryshyn, W.: On the approximation solvability of nonlinear equations. To appear in Math. Ann.
Stetter, H.: Asymptotic expansions for the error of discretization algorithms for nonlinear functional equations. Numer. Math.7, 18–31 (1965).
—: Stability of nonlinear discretization algorithms. Numerical solution of partial differential equations, p. 111–123. New York: Academic Press 1966.
Zarantonello, E.: The closure of the numerical range contains the spectrum. Announced in Bull. Amer. Math. Soc.70, No. 6, 781–787 (1964). Also to appear in Pacific J. Math.
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Sponsored by the Mathematics Research Center, United States Army, Madison, Wisconsin, under Contract No.: DA-3 1-124-ARO-D-462.
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Pereyra, V. Iterated deferred corrections for nonlinear operator equations. Numer. Math. 10, 316–323 (1967). https://doi.org/10.1007/BF02162030
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DOI: https://doi.org/10.1007/BF02162030