Almost Globally Convergent Interval Methods for Discretizations of Nonlinear Elliptic Partial Differential Equations
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Publication:3738479
DOI10.1137/0723022zbMath0602.65034OpenAlexW2084538114MaRDI QIDQ3738479
Publication date: 1986
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0723022
Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Interval and finite arithmetic (65G30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items (8)
Interval arithmetic methods for systems of nonlinear equations arising from discretizations of quasilinear elliptic and parabolic partial differential equations ⋮ Efficient methods for enclosing solutions of systems of nonlinear equations ⋮ Recursive solution of initial value problems with temporal discretization ⋮ Interval versions of central-difference method for solving the Poisson equation in proper and directed interval arithmetic ⋮ A proof of Jones' conjecture ⋮ Interval arithmetic multistep methods for nonlinear systems of equations ⋮ Truncated interval arithmetic block cyclic reduction ⋮ Accelerating Krawczyk-like interval algorithms for the solution of nonlinear systems of equations by using second derivatives
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