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A velocity scaling factor is used in the Hermite basis and is shown to improve the accuracy and effectiveness of the Hermite spectral approximation, with no increase in workload. Some basic analysis for the selection of the scaling factors is also presented.<\/p>","DOI":"10.1090\/s0025-5718-01-01365-5","type":"journal-article","created":{"date-parts":[[2002,9,20]],"date-time":"2002-09-20T14:12:48Z","timestamp":1032531168000},"page":"1497-1528","source":"Crossref","is-referenced-by-count":57,"title":["Combined Hermite spectral-finite difference method for the Fokker-Planck equation"],"prefix":"10.1090","volume":"71","author":[{"given":"Johnson","family":"Fok","sequence":"first","affiliation":[]},{"given":"Benyu","family":"Guo","sequence":"additional","affiliation":[]},{"given":"Tao","family":"Tang","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2001,12,21]]},"reference":[{"key":"1","isbn-type":"print","volume-title":"Handbook of mathematical functions with formulas, graphs, and mathematical tables","year":"1992","ISBN":"https:\/\/id.crossref.org\/isbn\/0486612724"},{"key":"2","series-title":"Pure and Applied Mathematics, Vol. 65","volume-title":"Sobolev spaces","author":"Adams, Robert A.","year":"1975"},{"key":"3","doi-asserted-by":"crossref","unstructured":"C. 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