Efficient and accurate sav schemes for the generalized Zakharov systems | Zendy

Jie Shen | Zendy; Nan Zheng | Zendy

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Efficient and accurate sav schemes for the generalized Zakharov systems

Author(s) -

Jie Shen,

Nan Zheng

Publication year - 2020

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2020262

Subject(s) - robustness (evolution) , mathematics , scalar (mathematics) , constant coefficients , hamiltonian (control theory) , mathematical optimization , mathematical analysis , biochemistry , chemistry , geometry , gene

We develop in this paper efficient and accurate numerical schemes based on the scalar auxiliary variable (SAV) approach for the generalized Zakharov system and generalized vector Zakharov system. These schemes are second-order in time, linear, unconditionally stable, only require solving linear systems with constant coefficients at each time step, and preserve exactly a modified Hamiltonian. Ample numerical results are presented to demonstrate the accuracy and robustness of the schemes.

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