Solving interval systems of equations obtained during the numerical solution of boundary value problems

DOI10.1007/s40314-014-0209-9zbMath1370.65016OpenAlexW2049969342WikidataQ59472091 ScholiaQ59472091MaRDI QIDQ2013629

Eugeniusz Zieniuk, Marta Kapturczak, Andrzej Kużelewski

Publication date: 8 August 2017

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-014-0209-9

zbMATH Keywords

boundary element methodboundary value problemsGauss eliminationinterval arithmeticLU-decompositiondirected intervalsiterative Jacobi methodinterval system of equations

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10) General methods in interval analysis (65G40) Direct numerical methods for linear systems and matrix inversion (65F05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

Interval linear fractional programming: optimal value range of the objective function ⋮ Interval arithmetic in modeling and solving Laplace's equation problems with uncertainly defined boundary shape ⋮ The strategy of modeling and solving the problems described by Laplace's equation with uncertainly defined boundary shape and boundary conditions ⋮ The influence of interval arithmetic on the shape of uncertainly defined domains modelled by closed curves

Cites Work

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