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Time integration methods

  • C. B. Vreugdenhil
Chapter
  • 312 Downloads
Part of the Water Science and Technology Library book series (WSTL, volume 13)

Abstract

The process of semi-discretization discussed in chapter 6 produces a system of ordinary differential equations with respect to time:
$$M\frac{d\textup{v}}{dt}+A\;\textup{v}=0$$
(8.1)
where v contains all unknowns and M is a “mass matrix”; it is nontrivial in finite-element methods but is unity in most other cases. The number of equations equals the number of grid-point values and may be very large. Several standard numerical methods exist to integrate such systems of differential equations. They are reviewed in sections 8.2–8.3.

Keywords

Gravity Wave Rossby Wave Amplification Factor Riemann Solver Courant Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • C. B. Vreugdenhil
    • 1
  1. 1.Institute for Marine and Atmospheric Research Utrecht (IMAU)Utrecht UniversityUtrechtThe Netherlands

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