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。
