Interval arithmetic methods for systems of nonlinear equations arising from discretizations of quasilinear elliptic and parabolic partial differential equations

DOI10.1016/0168-9274(87)90052-3zbMath0627.65052OpenAlexW4238747514MaRDI QIDQ1092614

Hartmut Schwandt

Publication date: 1987

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(87)90052-3

zbMATH Keywords

large systemsinterval arithmetic fast solverNewton-like interval arithmetic methodsnonsymmetric block tridiagonal matricesquasilinear elliptic and parabolic problems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Interval and finite arithmetic (65G30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

An interval arithmetic domain decomposition method for a class of elliptic PDEs on nonrectangular domains ⋮ Asynchronous parallel methods for enclosing solutions of nonlinear equations

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