《Table 3 Re lative e rrors of ve locity be twe e n DNS and LDM of 50 e ige nmode s》

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《POD Analysis and Low-Dimensional Model Based on POD-Galerkin for Two-Dimensional Rayleigh-Bénard Convection》

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From Table 3，it can be found that the error is relative small for a short-time prediction by POD-LDM，but as time evolves，the error becomes larger.That is to say，it is difficult for a long-time prediction based on POD-LDM.