Symbolic Computation of the Stokes Wave

W. H. Hui and G. Tenti
Additional contact information
W. H. Hui: University of Waterloo, Department of Applied Mathematics
G. Tenti: University of Waterloo, Department of Applied Mathematics

Chapter 16 in Applications of Computer Algebra, 1985, pp 329-337 from Springer

Abstract: Abstract Despite their familiarity, our understanding of the dynamics of surface water waves is far from complete, mainly because of the nonlinearity of the basic equations. G.G. Stokes was the first to find a particular solution in the form of a perturbation series. His result has been improved upon only recently, when fast electronic computers allowed researchers to carry out Stokes’ program numerically to very high order, although numerical noise precludes drawing definitive conclusions for large amplitude waves. However, the development of modern symbolic computation systems has made it possible to obtain exact results, and we report in this paper on the use of two such systems (MAPLE and MACSYMA) for this problem. Central to the success of the approach is a new mathematical formulation, particularly suitable for symbolic computation.

Keywords: Wave Height; Fourier Coefficient; Symbolic Computation; Perturbation Series; Surface Boundary Condition (search for similar items in EconPapers)
Date: 1985
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4684-6888-5_16

Ordering information: This item can be ordered from
http://www.springer.com/9781468468885

DOI: 10.1007/978-1-4684-6888-5_16

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().