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Phase space analysis in numerical integration of ordinary differential equations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 362)

Keywords

  • Phase Space
  • Discretization Error
  • Real Eigenvalue
  • Complex Eigenvalue
  • Finite Difference Equation

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References

  1. Jean-Pierre Barbary and Christian Mira, Problèmes de Discrétisation d'une Équation Différentialle Antonome du Deuxième Ordre, Proc. First Formator Symposium on Mathematical Methods for Large Scale Systems, (Ustav Teorie Informace a Automatizace, Libice 1970) Czechoslovak Acad. Sci., Prague, 1970.

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  2. J. Baumgarte and E. Stiefel, "Examples of Transformations Improving the Numerical Accuracy of the Integration of Differential Equations," these Proceedings

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  3. S.D. Conte and Carl deBoor, Elementary Numerical Analysis, McGraw-Hill, 2nd ed., 1972

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  4. T.V. Davies and Eleanor M. James, Nonlinear Differential Equations, Addison-Wesley, 1966

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  5. E. Hochfeld (ed.), Stabilization of Computer Circuits, U. of Chicago, 1957. Available from U.S. Government Printing Office as WADC TR 57-425 (AD 155740).

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  6. B.E. Howard, Nonlinear System Simulation, Simulation, Oct. 1966.

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  7. E. Kamke, Differentialgleichungen Losungsmethoden und Losungen, Akademishe Verlagsgesellschaft, Leipzig, 1956.

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  8. J.H. Wilkinson, The Algebraic Eigenvalue Problem, Clarendon Press, Oxford, 1965

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© 1974 Springer-Verlag

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Howard, B.E. (1974). Phase space analysis in numerical integration of ordinary differential equations. In: Bettis, D.G. (eds) Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations. Lecture Notes in Mathematics, vol 362. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066588

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  • DOI: https://doi.org/10.1007/BFb0066588

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06602-6

  • Online ISBN: 978-3-540-37911-9

  • eBook Packages: Springer Book Archive