Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
ATESAT: a symbolic processor for artificial satellite theory
Mathematics and Computers in Simulation - Special issue: Simplification of systems of algebraic and differential equations with applications
Chebyshev collocation methods for fast orbit determination
Applied Mathematics and Computation
Pertrubations: theory and methods
Pertrubations: theory and methods
On the A-Stability of Runge--Kutta Collocation Methods Based on Orthogonal Polynomials
SIAM Journal on Numerical Analysis
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In this paper we study the combination of averaging theories and the numerical integration of the averaged equations by means of Chebyshev series methods, that permits to obtain the numerical solution as a short Chebyshev series. The proposed scheme is applied to the artificial satellite problem.