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The maximum-norm of therestricted denominator approximations

✍ Scribed by M. Kovács

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
411 KB
Volume
50
Category
Article
ISSN
0898-1221

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✦ Synopsis

ln this paper, we analyze the restricted denominator approximation method, which is a one parameter family of functions approximating the exponential function. We give a necessary and sufficient condition for the A-stability of the functions. We provide an estimate for the stability constant in the maximum-norm when the method is applied to the one-dimensional heat equation both on finite and on infinite intervals. (~) 2005 Elsevier Ltd. All rights reserved.

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