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Approximation of the Long-Time Dynamics of the Dynamical System Generated by the Ginzburg-Landau Equation

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摘要 In this article we consider the(complex)Ginzburg-Landau equation,we discretize in time using the implicit Euler scheme,and with the aid of the discrete Gronwall lemma and of the discrete uniform Gronwall lemma we prove that the global attractors generated by the numerical scheme converge to the global attractor of the continuous system as the time-step approaches zero.
出处 《Communications in Mathematical Research》 CSCD 2023年第4期501-522,共22页 数学研究通讯(英文版)
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