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

Author:

Ortega T.,Sanz-Serna J. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference14 articles.

1. de Frutos, J., Sanz-Serna, J.M.:h-dependent stability thresholds avoid the need for a priori bounds in nonlinear convergence proofs. In: Fatunla, S.O. (ed.) Computational Mathematics III, Proceedings of the Third International Conference held in Benin City, Nigeria, January 1988. Dublin: Boole Press (to appear)

2. de Frutos, J., Sanz-Serna, J.M.: Split-step spectral schemes for nonlinear Dirac systems. J. Comput. Phys.83, 407?423 (1989)

3. L�pez-Marcos, J.C.: Estabilidad de Discretizaciones no Lineales. Tesis Doctoral, Universidad de Valladolid. Valladolid 1985

4. L�pez-Marcos, J.C., Sanz-Serna, J.M.: A definition of stability for nonlinear problems. In: Strehmel, K. (ed.) Numerical treatment of differential equations,Proceedings of the fourth seminar ?NUMDIFF-4? held in Halle, 1987, pp. 216?226. Leipzig. Teubner-Texte zur Mathematik 1988

5. L�pez-Marcos, J.C., Sanz-Serna, J.M.: Stability and convergence in numerical analysis III: Linear investigation of nonlinear stability. IMA J. Numer. Anal.7, 71?84 (1988)

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