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Continuity of approximation by least-squares multivariate Padé approximants

✍ Scribed by Alain Huard; Vincent Robin

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
290 KB
Volume
115
Category
Article
ISSN
0377-0427

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✦ Synopsis

We prove that if (u h (z)) h¿0 is a family of meromorphic functions which converges to a meromorphic function u(z), then [M; N ] u h → u when (h; M ) → (0; +∞), where [M; N ] u h denotes the least-squares multivariate Padà e approximants (LSPA) of u h . This property is fundamental when using the LSPA to approximate the solution of a partial di erential equations problem depending on some parameters. We illustrate it on a structural mechanics eigenproblem with variable damping coe cient.

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