Asymptotic behavior of nonlinear delay differential-algebraic equations and implicit Euler methods

DOI10.1016/J.AMC.2013.11.098zbMath1364.34106OpenAlexW2040208185MaRDI QIDQ529932

Leping Sun, Yuhao Cong, Jiaoxun Kuang

Publication date: 9 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.11.098

zbMATH Keywords

mean value theoremimplicit function theoremfrechet differentiablenonlinear delay differential-algebraic equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Numerical methods for differential-algebraic equations (65L80)

Related Items (4)

Asymptotic stability of Runge-Kutta method for solving nonlinear functional differential-algebraic equations ⋮ Stability of Newton TVD Runge-Kutta scheme for one-dimensional Euler equations with adaptive mesh ⋮ Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities ⋮ Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

Cites Work

• Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type
• Asymptotic stability of linear delay differential-algebraic equations and numerical methods
• The Numerical Solution of Delay-Differential-Algebraic Equations of Retarded and Neutral Type
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