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Symplectic geometry and numerical methods in fluid dynamics

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Tenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 264))

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References

  1. Feng Kang, On difference schemes and symplectic geometry, Proceedings of 1984 Beijing International Symposium on Differential Geometry and Differential Equations-COMPUTATION OF PARTIAL DIFFERENTIAL EQUATIONS, Ed, Feng Kang, Science Press, Beijing, 1985, pp42–58.

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  2. Feng Kang, Difference schemes for Hamiltonian formalism and symplectic geometry, Jour. of Comput. Math., 4:3 (1986).

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  3. Feng Kang, Wu Hua-mo, Qing Meng-zhou, Symplectic difference schemes for the linear Hamiltonian canonical systems, to appear.

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  4. Feng Kang, Wu Hua-mo, Qing Meng-zhou, Wang Dao-liu, Construction of canonical difference schemes for Hamiltonian formalism via generating functions, to appear.

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  5. V.I. Arnold, Mathematical Methods of Classical Mechanics, New York, 1978.

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  6. Qing Meng-zhou, Li Chun-wang, Symplectic difference schemes of Hamilltonian systems in infinite dimensions, to appear.

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  7. O. Buneman, Advantages of Hamiltonian Formulations in Computer Simulations, in “Mathematical Methods in Hydrodynamics and Integrability of Dynamical Systems”, Tabor, et., Amer. Inst. Phys., U.S.A., 1981.

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F. G. Zhuang Y. L. Zhu

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© 1986 Springer-Verlag

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Feng, K. (1986). Symplectic geometry and numerical methods in fluid dynamics. In: Zhuang, F.G., Zhu, Y.L. (eds) Tenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041762

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  • DOI: https://doi.org/10.1007/BFb0041762

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17172-0

  • Online ISBN: 978-3-540-47233-9

  • eBook Packages: Springer Book Archive

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