数学系Seminar第1698期 Spectral method for space tempered fractional differential equations by using Hermite functions

创建时间:  2018/10/18  龚惠英   浏览次数:   返回

报告主题:Spectral method for space tempered fractional differential equations by using Hermite functions.
报告人:焦裕建  副教授  (Shanghai Normal University)
报告时间:2018年10月19日(周五)15:00
报告地点:校本部G508
邀请人:马和平
主办部门:太阳成集团tyc33455数学系
报告摘要:In this talk, we introduce spectral methods for space tempered fractional differential equations. We propose spectral methods for space tempered fractional differential equations using Hermite functions, and prove their stability and convergence in physical spaces. We convert the space tempered fractional differential equations to the equivalent ones by Fourier transform. Then, we implement actual computation in frequencey space by using the Hermite functions. Ample numerical evidences are provided to highlight the efficiency, confirm the theoretical analysis and validate the expected behaviours of solutions.

 


欢迎教师、员工参加 !

上一条:物理学科Seminar第440讲 Staggered fluxes for Bose Hubbard model in two-leg ladder configuration

下一条:数学系Seminar第1699期 Recent progress on hp-version Galerkin and spectral collocation time-stepping methods for initial problems


数学系Seminar第1698期 Spectral method for space tempered fractional differential equations by using Hermite functions

创建时间:  2018/10/18  龚惠英   浏览次数:   返回

报告主题:Spectral method for space tempered fractional differential equations by using Hermite functions.
报告人:焦裕建  副教授  (Shanghai Normal University)
报告时间:2018年10月19日(周五)15:00
报告地点:校本部G508
邀请人:马和平
主办部门:太阳成集团tyc33455数学系
报告摘要:In this talk, we introduce spectral methods for space tempered fractional differential equations. We propose spectral methods for space tempered fractional differential equations using Hermite functions, and prove their stability and convergence in physical spaces. We convert the space tempered fractional differential equations to the equivalent ones by Fourier transform. Then, we implement actual computation in frequencey space by using the Hermite functions. Ample numerical evidences are provided to highlight the efficiency, confirm the theoretical analysis and validate the expected behaviours of solutions.

 


欢迎教师、员工参加 !

上一条:物理学科Seminar第440讲 Staggered fluxes for Bose Hubbard model in two-leg ladder configuration

下一条:数学系Seminar第1699期 Recent progress on hp-version Galerkin and spectral collocation time-stepping methods for initial problems