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Browder, F. E.: Existence and uniqueness theorems for solutions of nonlinear boundary value problems. Proc. of Symp. in Applied Math. Vol. XVII, Applications of Nonlinear Partial Differential Equations in Mathematical Physics, American Mathematical Society, 24–29 (1965).
Ciarlet, P. G.: Variational methods for non-linear boundary-value problems (103 pp.). Doctoral Thesis, Case Institute of Technology 1966.
—M. H. Schultz, andR. S. Varga: Numerical methods of high-order accuracy for nonlinear two-point boundary value problems. Proceedings of the International Colloquium C. N. R. S., Besangon, France, Sept. 7–14, 1966 (to appear).
— Numerical methods of high-order accuracy for nonlinear boundary value problems. I. One dimensional problem. Numer. Math.9, 394–430 (1967).
— Numerical methods of high-order accuracy for nonlinear boundary value problems. Monotone operators (to appear).
Collatz, L.: The numerical treatment of differential equations, 3rd. ed. (568 pp.). Berlin-Göttingen-Heidelberg: Springer 1960.
Courant, R., andD. Hilbert: Methods of mathematical physics. Vol. 1 (561 pp.). New York: Interscience 1953.
Herbold, R. J.: Consistent quadrature schemes for the numerical solution of boundary value problems by variational techniques (189 pp.). Doctoral Thesis, Case Institute of Technology 1968.
Keller, H. B.: Existence theory for two-point boundary problems. Bull. Amer. Math. Soc.72, 728–731 (1966).
Kellogg, R. B.: Personal communication.
Lorentz, G. G.: Approximation of functions (188 pp.). New York: Holt, Rinehart, and Winston 1966.
Mikhlin, S. G.: Variational methods in mathematical physics (582 pp.). New York: Macmillan Co. 1964.
Schechter, S.: Iteration methods for nonlinear problems. Trans. Amer. Math. Soc.104, 179–189 (1962).
Schultz, M. H., andR. S. Varga:L-splines. Numer. Math.10, 345–369 (1967).
Yosida, K.: Functional analysis (458 pp.). New York: Academic Press 1965.
This research was supported in part by NSF Grant GP-5553.
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Ciarlet, P.G., Schultz, M.H. & Varga, R.S. Numerical methods of high-order accuracy for nonlinear boundary value problems. Numer. Math. 11, 331–345 (1968). https://doi.org/10.1007/BF02166686
- Mathematical Method
- Nonlinear Boundary