Numerische Mathematik

, Volume 58, Issue 1, pp 215–229 | Cite as

Nonlinear stability and convergence of finite-difference methods for the “good” Boussinesq equation

  • T. Ortega
  • J. M. Sanz-Serna


The “good” Boussinesq equationu tt =−u xxxx +u xx +(u2) xx has recently been found to possess an interesting soliton-interaction mechanism. In this paper we study the nonlinear stability and the convergence of some simple finite-difference schemes for the numerical solution of problems involving the “good” Boussinesq equation. Numerical experimentas are also reported.

Subject classifications

AMS(MOS): 65M10 CR: G.1.8 


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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • T. Ortega
    • 1
  • J. M. Sanz-Serna
    • 1
  1. 1.Departamento de Matemática Aplicada y Computación, Facultad de CienciasUniversidad de ValladolidValladolidSpain

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