Integration of Perturbed Initial Value Problems through Reduction Theory

DOI10.1137/S0036142903420996zbMATH Open1087.34017OpenAlexW2092637697MaRDI QIDQ4653890

J. F. Palacián

Publication date: 1 March 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142903420996

zbMATH Keywords

Lie groupsinitial value problemsnumerical simulationinvariant theoryLie transformationsorbit spacesreduced equationsgeneralized normal formssemianalytic integration

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Symmetries, invariants of ordinary differential equations (34C14) Perturbations of ordinary differential equations (34D10) Simulation of dynamical systems (37M05)

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