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, cartea 362
Editat de D.G. Bettisen Limba Engleză Paperback – 25 ian 1974
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Specificații
ISBN-13: 9783540066026
ISBN-10: 3540066020
Pagini: 504
Ilustrații: VIII, 496 p.
Dimensiuni: 155 x 235 x 26 mm
Greutate: 0.7 kg
Ediția:1974
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3540066020
Pagini: 504
Ilustrații: VIII, 496 p.
Dimensiuni: 155 x 235 x 26 mm
Greutate: 0.7 kg
Ediția:1974
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
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.