Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations: 19, 20 October 1972, The University of Texas at Austin (Lecture Notes in Mathematics, 362)

ISBN 10: 3540066020 / ISBN 13: 9783540066026

Editore: Springer, 1974

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• Titolo: Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations: 19, 20 October 1972, The University of Texas at Austin (Lecture Notes in Mathematics, 362)
• Editore: Springer
• Data di pubblicazione: 1974
• Lingua: Inglese
• ISBN 10: 3540066020
• ISBN 13: 9783540066026
• Rilegatura: Brossura
• Condizione: New

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Contenuti

Extrapolation methods for the solution of initial value problems and their practical realization.- Changing stepsize in the integration of differential equations using modified divided differences.- The order of differential equation methods.- Equations of condition for high order Runge-Kutta-Nyström formulae.- On the non-equivalence of maximum polynomial degree nordsieck-gear and classical methods.- Phase space analysis in numerical integration of ordinary differential equations.- Multi-off-grid methods in multi-step integration of ordinary differential equations.- Comparison of numerical integration techniques for orbital applications.- Numerical integration aspects of a nutrient utilization ecological problem.- Calculation of precision satellite orbits with nonsingular elements (VOP formulation).- Examples of transformations improving the numerical accuracy of the integration of differential equations.- Computation of solar perturbations with poisson series.- Numerical difficulties with the gravitational n-body problem.- On the numerical integration of the N-body problem for star clusters.- A variable order method for the numerical integration of the gravitational N-body problem.- The method of the doubly individual step for N-body computations.- Integration of the N body gravitational problem by separation of the force into a near and a far component.- Numerical experiments on the statistics of the gravitational field.- Integration errors and their effects on macroscopic properties of calculated N-body systems.- Use of Green's functions in the numerical solution of two-point boundary value problems.- Shooting-splitting method for sensitive two-point boundary value problems.- On the convergence and error of the bubnov-galerkin method.- Numerical integration of gravitational N-body systems with the use of explicit taylor series.- Multirevolution methods for orbit integration.