Error bounds for perturbation methods

DOI10.1007/BF01228521zbMath0343.34040MaRDI QIDQ4112261

Urs Kirchgraber

Publication date: 1976

Published in: Celestial Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Perturbations of ordinary differential equations (34D10) Differential inequalities involving functions of a single real variable (34A40)

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Universal upper estimate for prediction errors under moderate model uncertainty

Cites Work

• New approach to the asymptotic theory of nonlinear oscillations and wave- propagation
• Comparison theorems, numerical integration and satellite orbits
• New a posteriori bounds in the method of averages
• On the higher order asymptotic approximations for the solutions of the equations of motion of an elastic pendulum
• Keplerian motion and gyration
• Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems
• Asymptotic Theory of Hamiltonian and other Systems with all Solutions Nearly Periodic

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