Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations : 19-20 October 1972, the University of Texas at Austin / / edited by D. G. Bettis

• Record Nr.: UNISA996466383103316
• Pubbl/distr/stampa: Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1974]; ©1974
• ISBN: 3-540-37911-8
• Edizione: [1st ed. 1974.]
• Descrizione fisica: 1 online resource (VIII, 496 p.)
• Collana: Lecture Notes in Mathematics, , 0075-8434 ; ; 362
• Disciplina: 510.8
• Soggetti: Many-body problem - Numerical solutions; Differential equations - Numerical solutions
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: 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.