The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations

DOI10.1080/00207160008805023zbMath0969.65075OpenAlexW1997457969MaRDI QIDQ4521223

Fudziah Bt. Ismail, Mohamed Bin Suleiman

Publication date: 19 December 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160008805023

zbMATH Keywords

numerical resultsdelay differential equationsP-stabilitysingly diagonally implicit Runge-Kutta methodQ-stability

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear functional-differential equations (34K06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Stability Analysis of Diagonally Implicit Two Derivative Runge-Kutta methods for Solving Delay Differential Equations ⋮ A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations ⋮ Numerical study for periodical delay differential equations using Runge-Kutta with trigonometric interpolation

Cites Work

• One-step collocation for delay differential equations
• P-stability properties of Runge-Kutta methods for delay differential equations
• Stability analysis of one-step methods for neutral delay-differential equations
• Stability of numerical methods for delay differential equations
• A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
• The stability of the \(\theta\)-methods in the numerical solution of delay differential equations with several delay terms
• Interpolation for Runge–Kutta Methods
• Derivation of Efficient, Continuous, Explicit Runge–Kutta Methods
• Special stability problems for functional differential equations
• Computing stability regions—Runge-Kutta methods for delay differential equations
• Embedded singly diagonally implicit runge-kutta methods (4,5) in (5,6). for the integration of stiff systems of odes

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