On the Algebraic Equations in Implicit Runge–Kutta Methods
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Publication:3776520
DOI10.1137/0724040zbMath0636.65066OpenAlexW2024132095MaRDI QIDQ3776520
Marc N. Spijker, Willem H. Hundsdorfer
Publication date: 1987
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0724040
sensitivityperturbationssystemstiff problemsimplicit Runge-Kutta methodsalgebraic stabilityimplementation schemesLobatto IIIC methodnondivergence property
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)
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