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Analytical continuation of asymptotic expansions of effective transport coefficients by Padé approximants

✍ Scribed by S. Tokarzewski; I. Andrianov; V. Danishevsky; G. Starushenko

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
373 KB
Volume
47
Category
Article
ISSN
0362-546X

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Continuity of approximation by least-squ
Continuity of approximation by least-squares multivariate Padé approximants
✍ Alain Huard; Vincent Robin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 290 KB

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 LS