Ebook: Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations: 19,20 October 1972, The University of Texas at Austin

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Content:
Front Matter....Pages -
Extrapolation methods for the solution of initial value problems and their practical realization....Pages 1-21
Changing stepsize in the integration of differential equations using modified divided differences....Pages 22-71
The order of differential equation methods....Pages 72-75
Equations of condition for high order Runge-Kutta-Nystr?m formulae....Pages 76-91
On the non-equivalence of maximum polynomial degree nordsieck-gear and classical methods....Pages 92-106
Phase space analysis in numerical integration of ordinary differential equations....Pages 107-127
Multi-off-grid methods in multi-step integration of ordinary differential equations....Pages 128-148
Comparison of numerical integration techniques for orbital applications....Pages 149-166
Numerical integration aspects of a nutrient utilization ecological problem....Pages 167-182
Calculation of precision satellite orbits with nonsingular elements (VOP formulation)....Pages 183-206
Examples of transformations improving the numerical accuracy of the integration of differential equations....Pages 207-236
Computation of solar perturbations with poisson series....Pages 237-259
Numerical difficulties with the gravitational n-body problem....Pages 260-275
On the numerical integration of the N-body problem for star clusters....Pages 276-290
A variable order method for the numerical integration of the gravitational N-body problem....Pages 291-303
The method of the doubly individual step for N-body computations....Pages 304-312
Integration of the N body gravitational problem by separation of the force into a near and a far component....Pages 313-336
Numerical experiments on the statistics of the gravitational field....Pages 337-359
Integration errors and their effects on macroscopic properties of calculated N-body systems....Pages 360-373
Use of Green's functions in the numerical solution of two-point boundary value problems....Pages 374-407
Shooting-splitting method for sensitive two-point boundary value problems....Pages 408-433
On the convergence and error of the bubnov-galerkin method....Pages 434-450
Numerical integration of gravitational N-body systems with the use of explicit taylor series....Pages 451-470
Multirevolution methods for orbit integration....Pages 471-490

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Content:
Front Matter....Pages -
Extrapolation methods for the solution of initial value problems and their practical realization....Pages 1-21
Changing stepsize in the integration of differential equations using modified divided differences....Pages 22-71
The order of differential equation methods....Pages 72-75
Equations of condition for high order Runge-Kutta-Nystr?m formulae....Pages 76-91
On the non-equivalence of maximum polynomial degree nordsieck-gear and classical methods....Pages 92-106
Phase space analysis in numerical integration of ordinary differential equations....Pages 107-127
Multi-off-grid methods in multi-step integration of ordinary differential equations....Pages 128-148
Comparison of numerical integration techniques for orbital applications....Pages 149-166
Numerical integration aspects of a nutrient utilization ecological problem....Pages 167-182
Calculation of precision satellite orbits with nonsingular elements (VOP formulation)....Pages 183-206
Examples of transformations improving the numerical accuracy of the integration of differential equations....Pages 207-236
Computation of solar perturbations with poisson series....Pages 237-259
Numerical difficulties with the gravitational n-body problem....Pages 260-275
On the numerical integration of the N-body problem for star clusters....Pages 276-290
A variable order method for the numerical integration of the gravitational N-body problem....Pages 291-303
The method of the doubly individual step for N-body computations....Pages 304-312
Integration of the N body gravitational problem by separation of the force into a near and a far component....Pages 313-336
Numerical experiments on the statistics of the gravitational field....Pages 337-359
Integration errors and their effects on macroscopic properties of calculated N-body systems....Pages 360-373
Use of Green's functions in the numerical solution of two-point boundary value problems....Pages 374-407
Shooting-splitting method for sensitive two-point boundary value problems....Pages 408-433
On the convergence and error of the bubnov-galerkin method....Pages 434-450
Numerical integration of gravitational N-body systems with the use of explicit taylor series....Pages 451-470
Multirevolution methods for orbit integration....Pages 471-490
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