Newton's Method and Symmetry for Semilinear Elliptic PDE on the Cube

DOI10.1137/120899054zbMath1417.37274arXiv1301.7085OpenAlexW1963868144MaRDI QIDQ2871363

Nándor Sieben, John M. Neuberger, James W. Swift

Publication date: 22 January 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.7085

zbMATH Keywords

numerical methodssemilinear elliptic PDEbifurcation with symmetry

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Computational methods for bifurcation problems in dynamical systems (37M20) Semilinear elliptic equations (35J61)

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Invariant Synchrony Subspaces of Sets of Matrices ⋮ Synchrony and Antisynchrony for Difference-Coupled Vector Fields on Graph Network Systems ⋮ Construction of Bifurcation Diagrams Using POD on the Fly

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