A global negative result on algebraic stability and a special positive result on linear stability of generalized IRK methods
DOI10.1093/IMANUM/13.4.571zbMath0789.65065OpenAlexW2018523281MaRDI QIDQ4272764
Publication date: 19 June 1994
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/13.4.571
linear stability\(A\)-stabilityimplicit Runge-Kutta methodsalgebraic stabilityspline collocation methods\(A\)-stable methods
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
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