It is impossible,mathematically, to use a time series which is regarded as a set of observational facts of a dynamicsystem to reconstruct the particular system.Physically, however, with a few assumptions put, a dynami...It is impossible,mathematically, to use a time series which is regarded as a set of observational facts of a dynamicsystem to reconstruct the particular system.Physically, however, with a few assumptions put, a dynamic system canbe rebuilt approximately by means of observational facts.This is the goal of the so called invariant quantity method(IQM),whose research and experiment are of potential significance to atmospheric sciences.展开更多
In this paper, we present a new semi-discrete difference scheme for the KdV equation, which possesses the first four nearconserved quatities. The scheme is better than the past one given in [4], because its solution ...In this paper, we present a new semi-discrete difference scheme for the KdV equation, which possesses the first four nearconserved quatities. The scheme is better than the past one given in [4], because its solution has a more superior estimation. The convergence and the stability of the new scheme are proved展开更多
文摘It is impossible,mathematically, to use a time series which is regarded as a set of observational facts of a dynamicsystem to reconstruct the particular system.Physically, however, with a few assumptions put, a dynamic system canbe rebuilt approximately by means of observational facts.This is the goal of the so called invariant quantity method(IQM),whose research and experiment are of potential significance to atmospheric sciences.
文摘In this paper, we present a new semi-discrete difference scheme for the KdV equation, which possesses the first four nearconserved quatities. The scheme is better than the past one given in [4], because its solution has a more superior estimation. The convergence and the stability of the new scheme are proved
