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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Collectivité auteur: Conference on the numerical solution of ordinary differential equations :Austin, Texas
Autres auteurs: Bettis, Dale G., 1937-1989 (Directeur de la publication)
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 362
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Edition sous un autre format:• Proceedings of the Conference on the numerical solution of ordinary differential equations, 19-20 October 1972, the University of Texas at Austin, edited by Dale G. Bettis,..., Berlin, Springer-Verlag, 1974, 1 vol. (VIII-490 p.), Lecture notes in mathematics, 3-540-06602-0
• Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations, Texte imprimé, 9783662183861
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505 0 |a 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 ofgravitational N-body systems with the use of explicit taylor series -- Multirevolution methods for orbit integration. 
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