The Lie-Group Shooting Method for Solving Multi-dimensional Nonlinear Boundary Value Problems

Author:

Liu Chein-Shan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference31 articles.

1. Iserles, A., Zanna, A.: Preserving algebraic invariants with Runge–Kutta methods. J. Comput. Appl. Math. 125, 69–81 (2000)

2. Liu, C.-S.: New integrating methods for time-varying linear systems and Lie-group computations. Comput. Model. Eng. Sci. 20, 157–175 (2007)

3. Iserles, A., Munthe-Kass, H.Z., Norsett, S.P., Zanna, A.: Lie-group methods. Acta Numer. 9, 215–365 (2000)

4. Liu, C.-S.: Cone of non-linear dynamical system and group preserving schemes. Int. J. Non-Linear Mech. 36, 1047–1068 (2001)

5. Kubicek, M., Hlavacek, V.: Numerical Solution of Nonlinear Boundary Value Problems with Applications. Prentice-Hall, New York (1983)

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