Stability and sensivity of Darboux transformation without parameter.

Bueno, M.Isabel; Dopico, Froilán M.

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The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub.

Gautschi, Walter (2002)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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Implicit for local effects and explicit for nonlocal effects is unconditionally stable.

Anitescu, Mihai, Pahlevani, Faranak, Layton, William J. (2004)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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Alternative orthogonal polynomials and quadratures.

Chelyshkov, Vladimir S. (2006)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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Computing quaternionic roots by Newton's method.

Janovská, Drahoslava, Opfer, Gerhard (2007)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

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KAM Tori and Quantum Birkhoff Normal Forms

Georgi Popov (1999-2000)

Séminaire Équations aux dérivées partielles

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This talk is concerned with the Kolmogorov-Arnold-Moser (KAM) theorem in Gevrey classes for analytic hamiltonians, the effective stability around the corresponding KAM tori, and the semi-classical asymptotics for Schrödinger operators with exponentially small error terms. Given a real analytic Hamiltonian $H$ close to a completely integrable one and a suitable Cantor set $Θ$ defined by a Diophantine condition, we find a family $Λ_{ω}, ω \in Θ$ , of KAM invariant tori of $H$ with frequencies $ω \in Θ$ which is Gevrey...