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Computational uncertainty principle in nonlinear ordinary differential equations. I. Numerical results

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Publication:866209
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DOI10.1007/BF02917018zbMath1233.65041MaRDI QIDQ866209

Qingcun Zeng, Jifan Chou, Jian-ping Li

Publication date: 20 February 2007

Published in: Science in China. Series E (Search for Journal in Brave)



Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)


Related Items (6)

On the risks of using double precision in numerical simulations of spatio-temporal chaos ⋮ Computational uncertainty principle in ordinary differential equations. II. Theoretical analysis ⋮ A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations ⋮ Computational uncertainty and the application of a high-performance multiple precision scheme to obtaining the correct reference solution of Lorenz equations ⋮ A new algorithm for seasonal precipitation forecast based on global atmospheric hydrological water budget ⋮ Physical limit of prediction for chaotic motion of three-body problem




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