The Stenger conjectures and the \(A\)-stability of collocation Runge-Kutta methods

DOI10.1186/s13660-023-03019-8WikidataQ123233509 ScholiaQ123233509MaRDI QIDQ6182471

Rachid Ait-Haddou, Hoda Alselami

Publication date: 21 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

A-stabilitymatrix eigenvalueszeros of orthogonal polynomialscollocation Runge-Kutta

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Unnamed Item
• On the Eneström-Kakeya theorem and its sharpness
• On conjectures of Stenger in the theory of orthogonal polynomials
• Proof of Stenger's conjecture on matrix \(I^{(-1)}\) of sinc methods
• Indefinite Integration Operators Identities, and Their Approximations
• A new property of a class of Koornwinder Laguerre polynomials
• A new property of a class of Jacobi polynomials
• Differential equations for generalized Jacobi polynomials

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