Book Volume 362 1974

Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations

19,20 October 1972, The University of Texas at Austin


ISBN: 978-3-540-06602-6 (Print) 978-3-540-37911-9 (Online)

Table of contents (24 chapters)

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  1. Front Matter

    Pages I-VIII

  2. Chapter

    Pages 1-21

    Extrapolation methods for the solution of initial value problems and their practical realization

  3. Chapter

    Pages 22-71

    Changing stepsize in the integration of differential equations using modified divided differences

  4. Chapter

    Pages 72-75

    The order of differential equation methods

  5. Chapter

    Pages 76-91

    Equations of condition for high order Runge-Kutta-Nyström formulae

  6. Chapter

    Pages 92-106

    On the non-equivalence of maximum polynomial degree nordsieck-gear and classical methods

  7. Chapter

    Pages 107-127

    Phase space analysis in numerical integration of ordinary differential equations

  8. Chapter

    Pages 128-148

    Multi-off-grid methods in multi-step integration of ordinary differential equations

  9. Chapter

    Pages 149-166

    Comparison of numerical integration techniques for orbital applications

  10. Chapter

    Pages 167-182

    Numerical integration aspects of a nutrient utilization ecological problem

  11. Chapter

    Pages 183-206

    Calculation of precision satellite orbits with nonsingular elements (VOP formulation)

  12. Chapter

    Pages 207-236

    Examples of transformations improving the numerical accuracy of the integration of differential equations

  13. Chapter

    Pages 237-259

    Computation of solar perturbations with poisson series

  14. Chapter

    Pages 260-275

    Numerical difficulties with the gravitational n-body problem

  15. Chapter

    Pages 276-290

    On the numerical integration of the N-body problem for star clusters

  16. Chapter

    Pages 291-303

    A variable order method for the numerical integration of the gravitational N-body problem

  17. Chapter

    Pages 304-312

    The method of the doubly individual step for N-body computations

  18. Chapter

    Pages 313-336

    Integration of the N body gravitational problem by separation of the force into a near and a far component

  19. Chapter

    Pages 337-359

    Numerical experiments on the statistics of the gravitational field

  20. Chapter

    Pages 360-373

    Integration errors and their effects on macroscopic properties of calculated N-body systems

  21. Chapter

    Pages 374-407

    Use of Green's functions in the numerical solution of two-point boundary value problems

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