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Persistence of normal hyperbolicity for partial differential equations under discretizations
Author(s) -
Li M.C.
Publication year - 2003
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310037
Subject(s) - persistence (discontinuity) , discretization , mathematics , partial differential equation , invariant (physics) , manifold (fluid mechanics) , mathematical analysis , hyperbolic partial differential equation , invariant manifold , mathematical physics , geology , geotechnical engineering , mechanical engineering , engineering
In this paper, we show that a discretization of a PDE inherits a normally hyperbolic invariant manifold from the PDE.