2018年04月25日 |  English version
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The Strong-Stability-Preserving (SSP) scheme for the Integrating Factor (IF) form of Exponential Time Differencing (ETD) problems

报告题目: The Strong-Stability-Preserving (SSP) scheme for the Integrating Factor (IF) form of  Exponential Time Differencing (ETD) problems

报告人:Professor  Cheng Wang,University of Massachusetts Dartmouth
报告时间: 2018年4月13日15:30

报告地点:行健楼学术活动室526

邀请人:王雨顺教授

摘要:Certain Exponential Time Differencing (ETD) problems are taken into consideration. Since the linear operator exactly preserves the energy norms, we reformulate the ETD problem in the Integrating Factor (IF) form. In turn, the Strong-Stability-Preserving (SSP) schemes could be applied to the reformulated PDE, and a local in time convergence result could be derived via a linearized stability analysis. As a result of this analysis, the third and higher order convergence in time could be theoretically justified, without any condition between the time step and spatial grid sizes. A few examples, including the “Good” Boussinesq equation, nonlinear Schrodinger equation, and nonlinear KDV equation, will be covered. 

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