講座主題：High-Order Accurate Bound-Preserving Compact Difference Scheme for Scalar Convection Diffusion Equations
主講人：謝樹森
工作單位：中國(guó)海洋大學(xué)
講座時(shí)間：2019年5月10日（周五）下午15:00
講座地點(diǎn)：數(shù)學(xué)院大會(huì)議室341
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要：
In this talk we show that the classical fourth order accurate compact finite difference scheme with high order SSP (strong stability preserving) time discretization for convection diffusion problems satisfies a weak monotonicity property, which implies that a simple limiter can enforce the bound preserving property without losing conservation and high order accuracy. Higher order accurate compact finite difference schemes satisfying the weak monotonicity will also be discussed. Numerical experiments on model problems are presented.
主講人介紹：
謝樹森，教授,，中國(guó)海洋大學(xué)數(shù)學(xué)科學(xué)學(xué)院院長(zhǎng),，兼任山東省數(shù)學(xué)會(huì)副理事長(zhǎng)。主要從事偏微分方程高精度數(shù)值方法及數(shù)值模擬方法的應(yīng)用研究,。在海水污染問(wèn)題,、滲流驅(qū)動(dòng)問(wèn)題的高精度數(shù)值方法、非線性波方程的高精度數(shù)值方法等方面有系統(tǒng)深入的研究,，部分研究工作發(fā)表在 “SIAM J Sci Comp”,，“Comput Methods Appl Mech Engrg”，“SIAM J Num Anal”,，“Comp Phy Comm”,，“Appl Numer Math”，“J Comp Appl Math”等重要學(xué)術(shù)期刊,。多次到美國(guó),、加拿大、韓國(guó),、英國(guó),、香港等國(guó)家與地區(qū)進(jìn)行學(xué)術(shù)訪問(wèn)和交流。
