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An efficient scheme for approximating long-time dynamics of a class of non-linear models

An efficient scheme for approximating long-time dynamics of a class of non-linear models

We propose a novel, highly efficient, second-order accurate, long-time unconditionally stable numerical scheme for a class of finite-dimensional nonlinear models that are of importance in geophysical fluid dynamics. The scheme is highly efficient in the sense that only a (fixed) symmetric positive definite linear problem (with varying right hand sides) …