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Symmetric linear multistep. (English) Zbl 1149.65054
Summary: Some important early contributions of Germund Dahlquist are reviewed [see e. g. Math. Scand. 4, 33–53 (1956; Zbl 0071.11803)] and their impact to recent developments in the numerical solution of ordinary differential equations is shown. This work is an elaboration of a talk presented in the Dahlquist session at the SciCADE05 conference in Nagoya.
MSC:
65L06Multistep, Runge-Kutta, and extrapolation methods
65L20Stability and convergence of numerical methods for ODE
References:
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[2]G. Dahlquist, Convergence and stability in the numerical integration of ordinary differential equations, Math. Scand., 4 (1956), pp. 33–53.
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[8]E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration, Structure-Preserving Algorithms for Ordinary Differential Equations, 2nd edn., Springer Series in Computational Mathematics 31, Springer, Berlin, 2006.
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