Stability analysis of one-leg methods for nonlinear functional differential and functional equations

DOI10.1016/J.CAM.2010.07.009zbMath1202.65087OpenAlexW2059427657MaRDI QIDQ708304

Liping Wen, Yuexin Yu

Publication date: 11 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.07.009

zbMATH Keywords

asymptotic stabilityglobal stabilityA-stabilityone-leg methodsnonlinear functional differential and functional equations

Mathematics Subject Classification ID

Numerical methods for functional-differential equations (65L03)

Related Items (5)

Asymptotic stability of Runge-Kutta method for solving nonlinear functional differential-algebraic equations ⋮ Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods ⋮ Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments ⋮ Stability analysis of Runge-Kutta methods for nonlinear functional differential and functional equations ⋮ Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

Cites Work

• Stability analysis of nonlinear functional differential and functional equations
• Stability analysis of one-step methods for neutral delay-differential equations
• The NGP-stability of Runge-Kutta methods for systems of neutral delay differential equations
• Stability and error analysis of one-leg methods for nonlinear delay differential equations
• The asymptotic stability of one-parameter methods for neutral differential equations
• Stability analysis of numerical methods for systems of functional-differential and functional equations.
• Stability of multistep Runge-Kutta methods for systems of functional-differential and functional equations.
• Stability analysis of numerical methods for systems of neutral delay-differential equations
• Runge-Kutta-collocation methods for systems of functional-differential and functional equations
• Nonlinear stability of one-leg methods for delay differential equations of neutral type
• Asymptotic stability of Rosenbrock methods for systems of functional differential and functional equations
• Nonlinear stability of Runge-Kutta methods for neutral delay differential equations
• On the numerical integration of a symmetric system of difference- differential equations of neutral type
• A stability property of \(A\)-stable collocation-based Runge-Kutta methods for neutral delay differential equations
• G-stability is equivalent toA-stability
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