An Advanced Version of the Local-Global Step Size Control for Runge-Kutta Methods Applied to Index 1 Differential-Algebraic Systems

Author:

Kulikov Gennady Y.

Publisher

Springer Berlin Heidelberg

Reference6 articles.

1. Hairer, E., Wanner, G.: Solving ordinary differential equations II: Stiff and differential-algebraic problems. Springer, Berlin (1996)

2. Kulikov, G.Y.: Convergence theorems for iterative Runge-Kutta methods with a constant integration step. Zh. Vychisl. Mat. Mat. Fiz. 36(8), 73–89 (1996) (in Russian); translation in Comput. Math. Math. Phys. 36(8), 1041–1054 (1996)

3. Kulikov, G.Y.: On the numerical solution of the Cauchy problem for a system of differential-algebraic equations by means of implicit Runge-Kutta methods with a variable integration step. Vestnik Moskov. Univ. Ser. 1 Mat. Mekh. 5, 7–11 (1997) (in Russian); translation in Moscow Univ. Math. Bull. 52(5), 6–10 (1997)

4. Kulikov, G.Y.: A theory of symmetric one-step methods for differential-algebraic equations. Russian J. Numer. Anal. Math. Modelling 12(6), 501–523 (1997)

5. Kulikov, G.Y.: A local-global version of a stepsize control for Runge-Kutta methods. Korean J. Comput. Appl. Math. 7(2), 289–318 (2000)

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