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Orbit computation in celestial mechanics by Urabe's method

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Publication:1845301
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DOI10.2977/prims/1195192441zbMath0284.65072OpenAlexW2076346082MaRDI QIDQ1845301

René van Dooren

Publication date: 1974

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195192441



Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)


Related Items (1)

Numerical study of the controlled van der Pol oscillator in Chebyshev series



Cites Work

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  • Galerkin's procedure for nonlinear periodic systems
  • Periodic solutions of differential systems, Galerkin's procedure and the method of averaging
  • Remarque sur un résultat d'Urabe
  • Functional analysis and Galerkin's method
  • Numerical computation of nonlinear forced oscillations by Galerkin's procedure
  • Numerical investigation of subharmonic solutions to Duffing's equation
  • Stabilization of Cowell's method
  • Sur la méthode de Galerkin-Urabe pour les systèmes différentiels périodiques
  • Numerical computation of forced oscillations in coupled Duffing equations




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