The computational efficiency of a spectral walsh function method

✍ Scribed by B.G. Sloss; W.F. Blyth

• Book ID: 104134925
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 810 KB
• Volume: 335
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/s0016-0032(97)00058-6

✦ Synopsis

This paper examines the computational &iciency of the neM~Jidly discrete versions of the Wal.sh,function spectral method due to Blyth. Following an introduction to the Walsh,fimctions and relevant properties, waJ!s of' obtaininq a .fully discrete spectral W&h ,function method are e.uamined. The eificiency qf' the spectral method is compared with \c,ell-knoxw standard schemes where a variable coef$cient one-dimensional wave equation is used as the model problem. Some properties, such as how errors increase as t increases, ,for various t discretized cersions of this scheme, are compared. $",