Stability of two-step-by-two-step IRK methods based on Gauss-Legendre collocation points and an application

zbMath1287.65060MaRDI QIDQ2446140

Nguyen Thu Thuy, Nguyen Huu Cong

Publication date: 16 April 2014

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.math.ac.vn/publications/vjm/VJM_40/115-126.htm

zbMATH Keywords

stabilitynumerical examplespredictor-corrector methodsimplicit Runge-Kutta methodscollocation Gauss-Legendre methodfirst-order stiff initial-value problems

Mathematics Subject Classification ID

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for stiff equations (65L04)

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