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Séminaire du LJLL - 19 02 2021 14h00 : J. Shen
19 février 2021 — 14h00
Exposé à distance retransmis par Zoom
Jie Shen (Université Purdue, West Lafayette)
Highly efficient and accurate structure preserving schemes for complex nonlinear systems
Résumé
Many complex nonlinear systems have intrinsic structures such as energy dissipation or conservation, and/or positivity/maximum principle preserving. It is desirable, sometimes necessary, to preserve these structures in a numerical scheme.
I will present some recent advances on using the scalar auxiliary variable (SAV) approach to develop highly efficient and accurate structure preserving schemes for a large class of complex nonlinear systems. These schemes can preserve energy dissipation/conservation as well as other global constraints and/or are positivity/bound preserving, only require solving decoupled linear equations with constant coefficients at each time step, and can achieve higher-order accuracy.