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The new approach is tested on the Kuramoto\u2013Sivashinsky equation and on a dispersive linear PDE featuring a time\u2010space corner singularity.<\/jats:p>","DOI":"10.1137\/040611252","type":"journal-article","created":{"date-parts":[[2006,10,23]],"date-time":"2006-10-23T11:30:50Z","timestamp":1161603050000},"page":"1716-1729","source":"Crossref","is-referenced-by-count":30,"title":["A Pseudospectral Fictitious Point Method for High Order Initial\u2010Boundary Value Problems"],"prefix":"10.1137","volume":"28","author":[{"given":"Bengt","family":"Fornberg","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,10,16]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1137\/0732037"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1006\/jcph.1998.6093"},{"key":"R3","unstructured":"J. P. 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