On uniform attractors of explicit approximations |
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Authors: | V M Ipatova |
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Affiliation: | (1) Department of Mathematics, J.W. Goethe University, Postfach 111932, 60054 Frankfurt, Germany |
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Abstract: | We prove a theorem stating that the uniform attractors of a family of semiprocesses that do not necessarily have a common
time semigroup depend on the parameter uppersemicontinuously. We consider an explicit finite-difference scheme for a nonautonomous
system of ordinary differential equations and an explicit spectral-difference scheme for the vorticity equation with time-dependent
bounded right-hand side on a sphere. We obtain theorems on the existence of uniform attractors of numerical schemes and their
closeness to true attractors of the original differential problems. |
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