A note on uniform in time error estimates for approximations to reaction-diffusion equations |
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| Authors: | SANZ-SERNA, J. M. STUART, A. M. |
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| Affiliation: | Matemtica Aplicada y Computacin, Universidad de Valladolid Spain
School of Mathematical Sciences, University of Bath Bath BA2 7AY, UK |
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| Abstract: | The approximation of solutions of reaction-diffusion equationsthat approach asymptotically stable, hyperbolic equilibria isconsidered. Near such equilibria trajectories of the equationcontract and hence it is possible to seek error estimates thatare uniformly valid in time. A technique for the derivationof such estimates is illustrated in the context of an explicitEuler finite-difference scheme. |
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