Stability and error of the variable two-step BDF for semilinear parabolic problems | Zendy

Etienne Emmrich | Zendy

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Stability and error of the variable two-step BDF for semilinear parabolic problems

Author(s) -

Etienne Emmrich

Publication year - 2005

Publication title -

journal of applied mathematics and computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.45

H-Index - 36

eISSN - 1865-2085

pISSN - 1598-5865

DOI - 10.1007/bf02935787

Subject(s) - mathematics , theory of computation , discretization , variable (mathematics) , stability (learning theory) , bounded function , parabolic partial differential equation , mathematical analysis , algorithm , partial differential equation , machine learning , computer science

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.

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