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Fraga, Eric S.; Morris, John Ll.

An adaptive mesh refinement method for nonlinear dispersive wave equations. (English) Zbl 0756.65140

J. Comput. Phys. 101, No. 1, 94-103 (1992).
A new method for spatial grid refinement is developed. It is simple to implement and the stability of the numerical methods is affected minimally. The method is compared with results obtained using a uniform grid.
Reviewer: P.Y.Yalamov (Russe)

MSC:

65Z05 Applications to the sciences
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
35Q55 NLS equations (nonlinear Schrödinger equations)

Keywords:

adaptive mesh refinement; nonlinear dispersive wave equations; nonlinear Schrödinger equations; Korteweg-de Vries equations; grid refinement; stability
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Full Text: DOI

References:

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