NP-stability of Runge-Kutta methods based on classical quadrature

DOI10.1007/BF02510357zbMath0890.65088MaRDI QIDQ1378468

J. Ning

Publication date: 6 July 1998

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

stabilitycollocationneutral delay differential equationsimplicit Runge-Kutta methodsNP-stabilityLobatto IIICRadau IA

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) General theory of functional-differential equations (34K05)

Related Items

Classical theory of Runge-Kutta methods for Volterra functional differential equations ⋮ \(H_{\alpha}\)-stability of modified Runge-Kutta methods for nonlinear neutral pantograph equations ⋮ \(\mathcal H\)-stability of Runge-Kutta methods with general variable stepsize for pantograph equation. ⋮ Stability of IMEX Runge-Kutta methods for delay differential equations ⋮ Stability of the Radau IA and Lobatto IIIC methods for neutral delay differential system ⋮ A criterion for \(P\)-stability properties of Runge-Kutta methods

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