Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers' Equation

@article{Gottlieb2012StabilityAC,
  title={Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers' Equation},
  author={Sigal Gottlieb and Cheng Wang},
  journal={J. Sci. Comput.},
  year={2012},
  volume={53},
  pages={102-128}
}

• Sigal Gottlieb, Cheng Wang
• Published in J. Sci. Comput. 2012
• DOI:10.1007/s10915-012-9621-8

This paper analyzes the stability and convergence of the Fourier pseudospectral method coupled with a variety of specially designed time-stepping methods of up to fourth order, for the numerical solution of a three dimensional viscous Burgers’ equation. There are three main features to this work. The first is a lemma which provides for an L2 and H 1 bound on a nonlinear term of polynomial type, despite the presence of aliasing error. The second feature of this work is the development of stable… CONTINUE READING

Save to Library

Create Alert

Cite

View Paper