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- W2579236425 abstract "In this paper, based on the stochastic arithmetic, the accuracy and stability of multi-step methods to solve the stiff differential equation is studied. By using the CESTAC method and the CADNA library, the optimal iterate and the optimal step size of the multi-step methods can be dynamically computed and its accuracy can be estimated. Also, numerical stability of the multi-step methods to solve the stiff differential equation will be considered. For this purpose, a theorem is proved to show the accuracy of the results via the concept of the common significant digits between two sequential results. Finally, two numerical examples are given to show the efficiency and advantages of using the CADNA library." @default.
- W2579236425 created "2017-01-26" @default.
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- W2579236425 date "2016-01-01" @default.
- W2579236425 modified "2023-09-22" @default.
- W2579236425 title "Numerical stability of the multi-step methods to solve the stiff differential equation by using the CADNA library" @default.
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