Comments on High-order Integrators Embedded within Integral Deferred Correction Methods

  title={Comments on High-order Integrators Embedded within Integral Deferred Correction Methods},
  author={Andrew J. Christlieb and Benjamin K. C. Ong and Jing-Mei Qiu},
Spectral deferred correction (SDC) methods for solving ordinary differential equations (ODEs) were introduced by Dutt, Greengard and Rokhlin, [3]. In this paper, we study the properties of these integral deferred correction methods, constructed using high order integrators in the prediction and correction loops, and various distributions of quadrature nodes. The smoothness of the error vector associated with a method, is a key indicator of the order of convergence that can be expected from a… CONTINUE READING
Highly Cited
This paper has 27 citations. REVIEW CITATIONS


Publications citing this paper.
Showing 1-10 of 18 extracted citations


Publications referenced by this paper.
Showing 1-10 of 19 references

On the choice of correctors for semi-implicit Picard deferred correction

  • Anita T. Layton
  • methods, Appl. Numer. Math
  • 2008

Efficient time discretization for local discontinuous Galerkin methods

  • Yinhua Xia, Yan Xu, Chi-Wang Shu
  • Discrete Contin. Dyn. Syst. Ser. B
  • 2007

Minion , Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations

  • Anita T. Layton, L. Michael
  • An explicit sixthorder rungekutta formula…
  • 2005

Some stability results for explicit RungeKutta methods

  • Brynjulf Owren, Kristian Seip
  • 2003

A new recurrence for computing Runge–Kutta truncation error coefficients

  • M. E. Hosea
  • SIAM J. Numer. Anal. 32
  • 1995

Some stability results for explicit Runge–Kutta methods, BIT

  • Brynjulf Owren, Kristian Seip
  • MR 91m:65203 Zbl
  • 1990

Similar Papers

Loading similar papers…