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三元名家論壇:Efficient and accurate structure preserving schemes for complex nonlinear systems
作者:     供圖:     供圖:     日期:2025-05-06     來源:    

講座主題:Efficient and accurate structure preserving schemes for complex nonlinear systems

專家姓名:沈捷

工作單位:寧波東方理工大學(xué)

講座時間:2025年05月07日09:00-10:00

講座地點:數(shù)學(xué)院大會議室341

主辦單位:煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院

內(nèi)容摘要:

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 and Lagrange multiplier 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.

主講人介紹:

Jie Shen,寧波東方理工大學(xué)講席教授,計算數(shù)學(xué)家,中國工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會會士,美國數(shù)學(xué)會 (AMS) Fellow,美國工業(yè)與應(yīng)用數(shù)學(xué)會(SIAM)Fellow。

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