## Boundedness of dispersive difference schemes

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- by Donald Estep, Michael Loss and Jeffrey Rauch PDF
- Math. Comp.
**55**(1990), 55-87 Request permission

## Abstract:

The pointwise behavior of dispersive difference schemes for the simple wave equation in one dimension is analyzed. If the initial data are in certain Besov spaces, the scheme is shown to be pointwise unbounded. Boundedness is shown when the initial data are of bounded variation.## References

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## Additional Information

- © Copyright 1990 American Mathematical Society
- Journal: Math. Comp.
**55**(1990), 55-87 - MSC: Primary 65M12
- DOI: https://doi.org/10.1090/S0025-5718-1990-1023047-5
- MathSciNet review: 1023047