Wednesday,
October 12, 12:00 p.m. GWC 487
Cheng Wang
UMass Dartmouth
Numerical stability of pseudo-spectral schemes for nonlinear PDEs
Abstract
Stability and convergence analysis for fully discrete
pseudo spectral numerical schemes to nonlinear PDEs are
presented in this talk, such as viscous Burgers' equation
and incompressible Navier-Stokes equations.
Related applications to incompressible Euler equation and
quasi-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, including
Adams 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.
