Half-Explicit Exponential Runge–Kutta Methods for Index-1 DAEs in Helicopter Simulation-Reference-Cited by-同舟云学术

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Half-Explicit Exponential Runge–Kutta Methods for Index-1 DAEs in Helicopter Simulation

Published:2019-07-04 Issue:3 Volume:13 Page:341-365
ISSN:1661-8270
Container-title:Mathematics in Computer Science
language:en
Short-container-title:Math.Comput.Sci.

Author:

Kohlwey Elena,Röhrig-Zöllner Melven^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11786-019-00400-z.pdf

Reference19 articles.

1. Arnold, M., Strehmel, K., Weiner, R.: Half-explicit Runge–Kutta methods for semi-explicit differential-algebraic equations of index 1. Numer. Math. 64(1), 409–431 (1993)

2. Beylkin, G., Keiser, J.M., Vozovoi, L.: A new class of time discretization schemes for the solution of nonlinear PDEs. J. Comput. Phys. 147(2), 362–387 (1998)

3. Butcher, J.C.: A history of Runge–Kutta methods. Appl. Numer. Math. 20(3), 247–260 (1996)

4. Butcher, J.C., Wanner, G.: Runge–Kutta methods: some historical notes. Appl. Numer. Math. 22(1–3), 113–151 (1996)

5. Condon, M., Gao, J., Iserles, A.: On asymptotic expansion solvers for highly oscillatory semi-explicit DAEs. Discrete Contin. Dyn. Syst. A 36(9), 4813–4837 (2016)

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