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TitleProceedings of the Conference on the Numerical Solution of Ordinary Differential Equations [electronic resource] : 19,20 October 1972, The University of Texas at Austin / edited by Dale G. Bettis
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1974
Connect tohttp://dx.doi.org/10.1007/BFb0066582
Descript VIII, 496 p. online resource

CONTENT

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-Nystrรถm 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


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