Journal of applied mathematics & informatics
- 제19권1_2호
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- Pages.33-55
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
STABILITY AND ERROR OF THE VARIABLE TWO-STEP BDF FOR SEMILINEAR PARABOLIC PROBLEMS
초록
The temporal discretisation of a moderate semilinear parabolic problem in an abstract setting by the two-step backward differentiation formula with variable step sizes is analysed. Stability as well as optimal smooth data error estimates are derived if the ratios of adjacent step sizes are bounded from above by 1.91.
키워드