Error bounds and variational methods for nonlinear boundary value problems

DOI10.1007/BF02161363zbMath0176.15004OpenAlexW2018676115MaRDI QIDQ2533501

Lawrence F. Shampine

Publication date: 1968

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131886

zbMATH Keywords

numerical analysis

Related Items (6)

A simple, global, complementara variational principle ⋮ On error bounds of approximate solutions by means of variational methods and duality theory ⋮ Dual extremum principles and error bounds for a class of boundary value problems ⋮ Optimale Fehlerabschätzungen mit dualen Funktionalen bei semilinearen Randwertaufgaben gewöhnlicher Differentialgleichungen ⋮ An extremum variational principle for classical Hamiltonian systems ⋮ Error bounds via a new variational principle for classical Hamiltonian systems

Cites Work

• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Some nonlinear boundary value problem
• Quasi-linearization and upper and lower bounds for variational problems
• Boundary Value Problems for Ordinary Differential Equations

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