Mathematics – Analysis of PDEs
Scientific paper
2008-07-07
Ann. Mat. Pura Appl. 189(4):571-590, 2010
Mathematics
Analysis of PDEs
20 pages
Scientific paper
10.1007/s10231-009-0125-6
These notes develop aspects of perturbation theory of matrices related to so-called diagonalisation schemes. Primary focus is on constructive tools to derive asymptotic expansions for small/large parameters of eigenvalues and eigenprojections of families of matrices depending upon real/complex parameters. Applications of the schemes in different frameworks --including hyperbolic polynomials, asymptotic integration of ordinary differential equations, diagonalisation within symbolic hierarchies and pseudo-differential decoupling of hyperbolic-parabolic coupled systems-- are also discussed and references to further applications given.
Jachmann Kay
Wirth Jens
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