A Finite Volume Implicit Euler Scheme for the Linearized Shallow Water Equations: Stability and Convergence

Author： Adamy K.  

Publisher： Taylor & Francis Ltd

ISSN： 0163-0563

Source： Numerical Functional Analysis and Optimization, Vol.27, Iss.7-8, 2006-12, pp. : 757-783

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

The linearized shallow water equations are discretized in space by a finite volume method and in time by an implicit Euler scheme. Stability and convergence of the scheme are proved.

Related content

Convergence of linearized backward Euler–Galerkin finite element methods for the time-dependent Ginzburg–Landau equations with temporal gauge

By Yang Chaoxia  

International Journal of Computer Mathematics, Vol. 91, Iss. 7, 2014-07 ,pp. : 1507-1515 (9)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Convergence and stability of a stabilized finite volume method for the stationary Navier-Stokes equations

By Li Jian  

Bit Numerical Mathematics, Vol. 50, Iss. 4, 2010-12 ,pp. : 823-842 (20)

Springer Publishing Company

Access to resources Recommend Favorite

On curl-preserving finite volume discretizations for shallow water equations

By Jeltsch Rolf   Torrilhon Manuel  

Bit Numerical Mathematics, Vol. 46, Iss. 1, 2006-11 ,pp. : 35-53 (19)

Springer Publishing Company

Access to resources Recommend Favorite

On curl-preserving finite volume discretizations for shallow water equations

By Jeltsch Rolf   Torrilhon Manuel  

Bit Numerical Mathematics, Vol. 46, Iss. 5, 2006-11 ,pp. : 35-53 (19)

Springer Publishing Company

Access to resources Recommend Favorite

A Spline Collocation Scheme for the Spherical Shallow Water Equations

By Göttelmann J.  

Journal of Computational Physics, Vol. 148, Iss. 1, 1999-01 ,pp. : 291-298 (8)

Academic Press

Access to resources Recommend Favorite