A variable-stepsize variable-order multistep method for the integration of perturbed linear problems

Applied Numerical Mathematics

Volumn 42, Issue 1-3, 2002, Pages 285-295

  López, David J ^a   Martín, Pablo ^b   García, Amelia ^b  

^a TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

^b UNIVERSIDAD DE VALLADOLID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FUNCTIONS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

LINEAR PROBLEMS; TAYLOR SERIES;

INTEGRATION;

EID: 0036679812     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00156-8     Document Type: Conference Paper

References (15)

1. High-order embedded Runge-Kutta-Nystrom formulae
2. Corrigendum: High-order embedded Runge-Kutta-Nystrom formulae
3. A method of numerical solution of differential equations
4. An algorithm for the systematic construction of solutions to perturbed problems
5. A new set of canonical variables for orbit calculation
6. A general canonical transformation increasing the number of variables with application to the two-body problem
7. Stability of multistep-methods on variable grids
8. Changing stepsize in the integration of differential equations using modified divided differences
9. A numerical method for the integration of perturbed linear problems
10. Multistep numerical methods based on the Scheifele G-functions with application to satellite dynamics
11. On numerical integration of perturbed linear oscillating systems