Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations 19,20 October 1972, The University of Texas at Austin / [electronic resource] :
edited by Dale G. Bettis.
- Berlin, Heidelberg : Springer Berlin Heidelberg, 1974.
- VIII, 496 p. online resource.
- Lecture Notes in Mathematics, 362 0075-8434 ; .
- Lecture Notes in Mathematics, 362 .
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.
9783540379119
10.1007/BFb0066582 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510
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.
9783540379119
10.1007/BFb0066582 doi
Mathematics.
Mathematics.
Mathematics, general.
QA1-939
510