On the worst scenario method: a modified convergence theorem and its application to an uncertain differential equation.

DOI10.1007/s10492-008-0043-8zbMath1199.47207OpenAlexW2099405064WikidataQ115384220 ScholiaQ115384220MaRDI QIDQ834044

Petr Harasim

Publication date: 17 August 2009

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37802

zbMATH Keywords

nonlinear differential equationGalerkin approximationworst scenario problemuncertain input parameters

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (2)

On the worst scenario method: application to a quasilinear elliptic 2D-problem with uncertain coefficients. ⋮ Plastic Plate Bending Problem with Friction on the Boundary and Uncertain Input Data

Cites Work

• Unnamed Item
• Reliable solution for a 1D quasilinear elliptic equation with uncertain coefficients
• On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type
• Reliable solution of a quasilinear nonpotential elliptic problem of a nonmonotone type with respect to the uncertainty in coefficients
• Applied functional analysis. Main principles and their applications
• Applied functional analysis. Applications to mathematical physics. Vol. 1
• Reliable solutions of elliptic boundary value problems with respect to uncertain data
• On a reliable solution of a quasilinear elliptic equation with uncertain coefficients: Sensitivity analysis and numerical examples

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