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

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

504 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540066026
• Sprache: Englisch
• Erscheinungsdatum: 25.01.1974
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: D. G. Bettis