Upper Semicontinuity of Attractors for Linear Multistep Methods Approximating

  title={Upper Semicontinuity of Attractors for Linear Multistep Methods Approximating},
  author={Endre S{\"u}li},
This paper sets out a theoretical framework for approximating the attractor si of a semigroup S{t) defined on a Banach space A" by a q-step semidiscretization in time with constant steplength k . Using the one-step theory of Hale, Lin and Raugel, sufficient conditions are established for the existence of a family of attractors {$fk } c Xq , for the discrete semigroups S£ defined by the numerical method. The convergence properties of this family are also considered. Full details of the theory… CONTINUE READING

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