Modification of the Richardson-Panovsky methods for precise integration of satellite orbits.

DOI10.1016/S0898-1221(03)80004-4zbMath1179.70006OpenAlexW1967283925MaRDI QIDQ1416370

David L. Richardson, Jesus Vigo Aguiar

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)80004-4

zbMATH Keywords

Chebyshev methodsNumerical integration

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Orbital mechanics (70M20)

Related Items (5)

VSVO multistep formulae adapted to perturbed second-order differential equations ⋮ Variable-stepsize Chebyshev-type methods for the integration of second-order I.V.P.'s ⋮ A fourth-order Runge-Kutta method based on BDF-type Chebyshev approximations ⋮ Dissipative Chebyshev exponential-fitted methods for numerical solution of second-order differential equations. ⋮ Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge–Kutta collocation methods

Cites Work

• A family of implicit Chebyshev methods for the numerical integration of second-order differential equations
• Analysis of a family of Chebyshev methods for \(y=f(x,y)\)
• Numerical treatment of ordinary differential equations by extrapolation methods
• Stabilization of Cowell's method
• Chebyshevian multistep methods for ordinary differential equations
• The solution of nonlinear ordinary differential equations in Chebyshev series
• A General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems
• The iterative solution of non-linear ordinary differential equations in Chebyshev series
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