The Toda molecule equation and the 𝜖-algorithm

DOI10.1090/S0025-5718-98-00987-9zbMath0924.58028OpenAlexW1537916333MaRDI QIDQ4210957

Junkichi Satsuma, Atsushi Nagai, Tetsuji Tokihiro

Publication date: 10 September 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-98-00987-9

zbMATH Keywords

Padé approximationcontinued fractionacceleration methods\(\varepsilon\)-algorithmToda molecule equationdiscrete Toda molecule equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Numerical summation of series (65B10)

Related Items (15)

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Cites Work

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• Extrapolation methods theory and practice
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• Discrete soliton equations and convergence acceleration algorithms
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• Integrable lattices and convergence acceleration algorithms
• Partial differential equations associated with certain non-linear algorithms
• Der Quotienten-Differenzen-Algorithmus
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• On Rutishauser’s Approach to Self-Similar Flows
• Toda Molecule Equation and Quotient-Difference Method
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
• Upon A Second Confluent Form of the Ɛ-Algorithm
• On a Device for Computing the e m (S n ) Transformation

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