Error bounds via a new variational principle for classical Hamiltonian systems

DOI10.1007/BF01170958zbMath0533.70016OpenAlexW2169528151MaRDI QIDQ789912

Teodor M. Atanacković, Djordje S. Djukic

Publication date: 1984

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170958

zbMATH Keywords

Cauchy problemstwo-point boundary value problemserror estimate of approximate solution

Mathematics Subject Classification ID

Hamilton's equations (70H05) Other variational principles in mechanics (70H30)

Cites Work

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• An extremum variational principle for classical Hamiltonian systems
• Error bounds via a new extremum variational principle, mean square residual and weighted mean square residual
• Integral inequalities for two functions
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Error bounds and variational methods for nonlinear boundary value problems
• Dual extremum principles and error bounds for a class of boundary value problems

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