Stability of a family of multi-time-level difference schemes for the advection equation

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Erscheinungsjahr:
1991
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  • Mathematics Subject Classification (1991): 65M10, 65N05
Beschreibung:
  • For the linear advection equation we consider explicit multi-time-level schemes of highest order which are one step in space direction only. If a stencil involves k time steps we show that it is stable in the L2-sense for Courant numbers in the interval (0, 1/k). Since the order is 2 k-1 one can use these schemes for high order discretization of the boundary conditions in hyperbolic initial value problems. © 1991 Springer-Verlag.
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  • info:eu-repo/semantics/closedAccess
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Forschungsinformationssystem der UHH
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