Asymptotic Stability of Linear Neutral Delay Differential-Algebraic Equations and Runge--Kutta Methods

DOI10.1137/110847093zbMath1318.65045OpenAlexW1966513668MaRDI QIDQ5415980

Quanhong Yu, Jiaoxun Kuang, Hong-Jiong Tian

Publication date: 19 May 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110847093

zbMATH Keywords

asymptotic stabilityRunge-Kutta methodnumerical experimentstrong \(A\)-stabilityneutral delay differential-algebraic equation

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Neutral functional-differential equations (34K40) Numerical methods for differential-algebraic equations (65L80) Numerical methods for functional-differential equations (65L03)

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Analysis and numerical solution of linear delay differential-algebraic equations ⋮ Asymptotic stability of Runge-Kutta method for solving nonlinear functional differential-algebraic equations ⋮ An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations ⋮ Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities ⋮ Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2 ⋮ Spectral characterizations of solvability and stability for delay differential-algebraic equations ⋮ The Flexibility of DAE Formulations ⋮ Asymptotic stability analysis of Runge-Kutta methods for differential-algebraic equations with multiple delays ⋮ Delay-dependent stability of Runge-Kutta methods for linear delay differential-algebraic equations ⋮ Asymptotic stability of general linear methods for systems of linear neutral delay differential-algebraic equations ⋮ Lobatto IIIA methods, direct transcription, and DAEs with delays

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