Stability analysis of Runge–Kutta methods for differential equations with piecewise continuous arguments of mixed type

DOI10.1080/00207160.2010.492425zbMath1220.65105OpenAlexW2034870511MaRDI QIDQ2995500

Qi Wang, Qingyong Zhu

Publication date: 21 April 2011

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

Full work available at URL: https://doi.org/10.1080/00207160.2010.492425

zbMATH Keywords

Padé approximationasymptotic stabilitydifferential equationsRunge-Kutta methodspiecewise continuous

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items (10)

Stability ofθ-schemes for partial differential equations with piecewise constant arguments of alternately retarded and advanced type ⋮ Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments ⋮ Euler-Maclaurin method for linear differential equations with piecewise constant arguments with one delay: stability and oscillations ⋮ Convergence and stability of Galerkin finite element method for hyperbolic partial differential equation with piecewise continuous arguments ⋮ Stability analysis of parabolic partial differential equations with piecewise continuous arguments ⋮ Oscillation of numerical solution in the Runge-Kutta methods for equation \(x'(t) = ax(t) + a_{0}x([t)\)] ⋮ Numerical oscillation and non-oscillation for differential equation with piecewise continuous arguments of mixed type ⋮ The numerical asymptotically stability of a linear differential equation with piecewise constant arguments of mixed type ⋮ Stability analysis of Runge-Kutta methods for systems \(u'(t)=Lu(t)+Mu([t)\)] ⋮ Analytical and numerical stability of partial differential equations with piecewise constant arguments

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