Title: Fourth order finite difference schemes for partial differential equations
Speaker：Prof. Wang Cheng, University of Massachusetts Dartmouth
Topics:
(1) Finite difference approximation; truncation error estimate
(2) Fourth order difference; compact and long stencil; regular and staggered grid
(3) Fourth order scheme for Poisson equation: compact difference
(4) Fourth order scheme for Poisson equation: long stencil
(5) Compact fourth order scheme for 2-D Navier-Stokes equations
(6) Stability analysis for vorticity boundary condition
(7) Fourth order convergence analysis for compact scheme, part1: consistency
(8) Fourthorder convergence analysis for compact scheme, part2: stability
(9) Fourth order scheme for incompressible Boussinesq equation; stability and convergence
(10) Other related works and future projects
Dates:
# 1: 05/26, Monday, 9 to 11 am (through Zoom)
# 2: 05/27, Tuesday, 9 to 11 am (through Zoom)
# 3: 05/28, Wednesday,9to 11 am (through Zoom)
# 4: 05/29, Thursday, 9 to 11 am (through Zoom)
# 5: 05/30, Friday, 9to11 am (through Zoom)
# 6: 07/14, Monday, 9 to 11 am
# 7: 07/15, Tuesday, 9to 11 am
# 8: 07/16, Wednesday,9to 11 am
# 9: 07/17, Thursday, 9 to 11 am
#10: 07/17, Thursday, 3 to 5 pm
前5讲线上；Zoom address: //umassd.zoom.us/j/6339263022 Password: 123456
后5讲线下：维格堂113
报告人简介: 王成，麻省大学达特茅斯分校数学系教授，1993 年本科毕业于中科大，2000 年在美国坦普尔大学获得博士学位，2000-2003 年在美国印第安纳大学从事博士后研究工作，2003-2008 年在美国田纳西大学任助理教授，2008-2012 年在美国麻省大学达特茅斯分校任助理教授，2012 年晋升为副教授，2019 年晋升为教授。王成教授的主要研究领域是应用数学与计算数学，包括数值分析、偏微分方程、流体力学、计算电磁学等，目前已在 Journal of Computational Physics, SIAM Journal on Numerical Analysis, Mathematics of Computation, Numerische Mathematik 等期刊上发表论文一百多篇。
邀请人：岳兴业