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Improvement of numerical solution of boundary layer problems by incorporation of asymptotic approximations (1982)

Israeli, Moshe ; Ungarish, Marius

Springer

Numerische Mathematik 39 (1982), S. 309-324

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ISSN: 0945-3245

Keywords: AMS (MOS): 65L10 ; CR: 5.17

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary A method for improvement of the numerical solution of differential equations by incorporation of asymptotic approximations is investigated for a class of singular perturbation problems. Uniform error estimates are derived for this method when implemented in known difference schemes and applied to linear second order O.D.E.'s. An improvement by a factor ofε n+1 can be obtained (where ɛ is the “small” parameter andn is the order of the asymptotic approximation) for a small amount of extra work. Numerical experiments are presented.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01407865

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