A fifth order implicit method for the numerical solution of differential-algebraic equations
Author:
Publisher
Pleiades Publishing Ltd
Subject
Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1134/S096554251506010X.pdf
Reference9 articles.
1. E. Hairer and G. Wanner, Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (Springer-Verlag, Berlin, 1996; Mir, Moscow, 1999).
2. L. Jay, “Convergence of Runge–Kutta methods for differential-algebraic systems of index 3,” Appl. Numer. Math. 17 (2), 97–118 (1995).
3. E. Hairer, S. P. Nörsett, and G. Wanner, Solving Ordinary Differential Equations. I: Nonstiff Problems (Springer-Verlag, Berlin, 1987; Mir, Moscow, 1990).
4. L. M. Skvortsov, “Runge–Kutta collocation methods for differential-algebraic equations of indices 2 and 3,” Comput. Math. Math. Phys. 52 (10), 1373–1383 (2012).
5. Z. Jackiewich and S. Tracogna, “A general class of two-step Runge–Kutta methods for ordinary differential equations,” SIAM J. Numer. Anal. 32 (5), 1390–1427 (1995).
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