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    学术报告:Numerical stability of pseudo-spectral schemes for nonlinear PDEs

    时间:2013-12-07 , 作者: ,点击量:658


    题目:Numerical stability of pseudo-spectral schemesfor nonlinear PDEs

    主讲:王成副教授(University of Massachusetts Dartmouth

    时间:2013620日(星期四)下午400

    地点:6A-520

    主办:数学与计算机学院

    报告内容:

    Stability and convergence analysis for fully discretepseudo spectral numerical schemes to nonlinear PDEs arepresented in this talk, such as viscous Burgers equationand incompressible Navier-Stokes equations.Related applications to incompressible Euler equation andquasi-geostrophic equation will also be addressed, in both 2-D and 3-D, for smooth and vortex sheet initial data. In addition, high order time stepping schemes, includingAdams Bashforth-Adams Moulton multi-step schemes up to fourth order accuracy and high order explicit SSP schemes, will be explored in detail. Unconditional stability is established for the implicit time stepping algorithms.

    个人介绍:

    王成,博士后,1993年毕业于中国科技大学数学系,20008月获得Temple University数学系博士学位,并于20008月至20038月在Indiana University应用数学系从事博士后研究工作。学术研究的方向包括数值分析、偏微分方程、流体力学、计算电磁学等。在J. Sci. Comput., Numerical Mathematik, Applicable Analysis, Discrete and Continuous Dynamical systems, Computers & Fluids等国际期刊发表论文30余篇。多次在SIAM的年度会议和分会议上做报告。

    2013-6-18