Stability of multistep Runge-Kutta methods for systems of functional-differential and functional equations.

DOI10.1016/S0893-9659(04)90130-9zbMath1068.65105MaRDI QIDQ1764564

Xianqiang Yang

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

stabilitymultistep Runge-Kutta methodssystems of functional-differential and functional equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Asymptotic stability of Rosenbrock methods for systems of functional differential and functional equations ⋮ Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods ⋮ Stability analysis of one-leg methods for nonlinear functional differential and functional equations ⋮ Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments ⋮ Stability analysis of nonlinear functional differential and functional equations ⋮ Stability analysis of Runge-Kutta methods for nonlinear functional differential and functional equations

Cites Work

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• High Order Algebraically Stable Multistep Runge–Kutta Methods
• Trigonometric Polynomials and Difference Methods of Maximum Accuracy
• Stability and $B$-convergence properties of multistep Runge-Kutta methods