Error bounds via a new extremum variational principle, mean square residual and weighted mean square residual

DOI10.1016/0022-247X(80)90316-9zbMath0429.65083OpenAlexW2080278327MaRDI QIDQ1137853

Teodor M. Atanacković, Djordje S. Djukic

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90316-9

zbMATH Keywords

variational principleerror boundsexamplesleast-squares approximate technique

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (6)

Buckling by extension: stability boundary and post-critical behaviour ⋮ Contribution to error estimate ⋮ An extremum variational principle for classical Hamiltonian systems ⋮ Error bounds via a new variational principle for classical Hamiltonian systems ⋮ An extremum variational principle for a class of boundary value problems ⋮ An extremum variational principle and error estimate procedure for q^IV = f(q, x)

Cites Work

• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Dual extremum principles and error bounds for a class of boundary value problems
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