High-order unconditionally-stable FC-AD PDE solvers for general domains

@inproceedings{Alyssa2008HighorderUF,
  title={High-order unconditionally-stable FC-AD PDE solvers for general domains},
  author={Alyssa},
  year={2008}
}
  • Alyssa
  • Published 2008
A new methodology is introduced for the numerical solution of Partial Differential Equations in general spatial domains. The methodology is based on the use of the well-known Alternating Direction Implicit (ADI) approach of Peaceman and Rachford in conjunction with one-dimensional and high-order accurate Fourier representations of non-periodic data, obtained by way of a certain “continuation method” introduced recently for the resolution of the Gibbs phenomenon. We construct a number of high… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 122 references

Accurate

  • O. P. Bruno, Y. Han, M. M. Pohlman
  • high-order representation of complex three…
  • 2007
Highly Influential
10 Excerpts

Numerical Solution of Partial Differential Equations

  • K. W. Morton, D. F. Mayers
  • chapter 3, pages 70–71. Cambridge University…
  • 2005
Highly Influential
6 Excerpts

Spectral Methods: Fundamentals in Single Domains

  • C. Canuto, M. Y. Hussaini, A. Quarteroni, T. A. Zang
  • Scientific Computation. Springer, Berlin
  • 2006
Highly Influential
4 Excerpts

Fast

  • O. P. Bruno
  • high-order, high-frequency integral methods for…
  • 2003
Highly Influential
4 Excerpts

A comparison of numerical algorithms for Fourier extension of the first

  • J. P. Boyd
  • second, and third kinds. J. Comput. Phys., 178…
  • 2002
Highly Influential
5 Excerpts

Similar Papers

Loading similar papers…