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Abstract of Session
Recent studies of variable step approaches to linear multistep
methods have shown that there are several more possibilities to
construct and implement variable step methods than the few
approches found in the literature and in existing codes. This
development includes new collocation techniques, a separation
of interpolation conditions and polynomial representations, a
natural embedding of well-known methods into a continuum which
exhaust the space of multistep methods of order p=k+1 and so on.
These results open up new possibilities and questions concerning
the implementation of multistep methods. This session aims at
presenting the most recent results and discuss the state-of-the
art in multistep codes
Speakers
- C. Arevalo, "Construction of variable step-size multistep methods
by collocation" (Caracas, Venezuela)
- A. Sjoe, "Error Estimation and Stepsize Control for Adams and
Backward Differentiation Formulas" (Lund, Sweden)
- G. Soederlind "Adaptivity: can multistep codes be improved?"
(Lund, Sweden)
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