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Formal Approximations and Singular Perturbations
SIAM Review, 1977The problem of proving the validity of a formal approximation as an asymptotic approximation in singular perturbation problems is studied in a general formulation.
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Perturbation of Solutions with Moving Singularities
Theoretical and Mathematical Physics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Asymptotic Approximation for Singular Perturbations
SIAM Journal on Applied Mathematics, 1983The topic of the paper under review is to discuss a practical approach to the approximate solution of singularly perturbed systems of d.e.'s of the type \((1)_{\mu} \dot x=f(x,y,t), \mu \dot y=g(x,y,t)\) with \(\mu\) being the small parameter. As usual it is assumed that the reduced system \((1)_ 0\) admits a reduced manifold of solutions with strong ...
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On Singular Perturbations, Especially Matching
SIAM Review, 1994Among fifty very strong minisymposia at ICIAM 91 (cf. O'Malley (1992)), that on the Historical Development of Singular Perturbation Concepts, somewhat surprisingly, seemed to be the most popular. In retrospect, this was certainly due to both its accomplished participants and to the importance of asymptotic analysis throughout contemporary applied ...
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“Shooting Technique” for Singular Perturbations
SIAM Journal on Applied Mathematics, 1973A kind of “shooting method” for ordinary differential equations is demonstrated to be a useful technique for solving singular perturbation problems. New results are obtained on the Lagerstrom model problem for low Reynolds number compressible flow past a cylinder.
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Expansions for Singular Perturbations
IMA Journal of Applied Mathematics, 1971openaire +2 more sources