On a Family of A-stable Collocation Methods with High Derivatives

Author:

Kulikov Gennady Y.,Merkulov Arkadi I.,Khrustaleva Ekaterina Y.

Publisher

Springer Berlin Heidelberg

Reference12 articles.

1. Aul’chenko, S.M., Latypov, A.F., Nikulichev, Y.V.: A method for the numerical integration of systems of ordinary differential equations using Hermite interpolation polynomials. Zh. Vychisl. Mat. Mat. Fiz. 38(10), 1665–1670 (1998); translation in Comput. Math. Math. Phys. 38(10), 1595–1601 (1998)

2. Bakhvalov, N.S.: Numerical methods, Nauka, Moscow (1975) (in Russian)

3. Berezin, I.S., Zhidkov, N.P.: Methods of computations. V. 1, Gos. izd-vo fiz.-mat. lit-ry, Moscow (1962) (in Russian)

4. Butcher, J.C.: Numerical methods for ordinary differential equations. John Wiley & Son, Chichester (2003)

5. Fehlberg, E.: New high-order Runge-Kutta formulas with step size control for systems of first and second order differential equations. ZAMM 44, T17–T19 (1964)

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