Numerical methods and existence theorems for ordinary differential equations

Author:

Hull T. E.,Luxemburg W. A. J.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference8 articles.

1. Dahlquist, Germund: Convergence and stability in the numerical integration of ordinary differential equations. Math. Scand.4, 33?53 (1956).?Stability and error bounds in the numerical integration of ordinary differential equations. Diss. Stockholm 1958.

2. Ince, E. L.: Ordinary differential equations, Sect. 3/4. London: Longmans, Green & Co., 1927 and New York: Dover Publications.

3. John, F.: On the integration of parabolic equations by difference methods. Communications Pure and Appl. Math.5, 155?211 (1952).

4. Lipschitz, R.: Sur la possibilité d'intégrer complètement un système donné d'équations différentielles. Bull. Sci. Math.10, 149?159 (1876).

5. Moigno, F. N. M.: Leçons de calcul, 2, p., 385 and 513. Paris: Gauthier-Villars 1844.

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