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A complete ellipticity analysis is provided.\nThe optimal order of convergence in the semi-discrete energy norms is proved. Several numerical results are given to show the\nperformance of the method, which confirm our theoretical findings.<\/jats:p>","DOI":"10.1515\/cmam-2016-0043","type":"journal-article","created":{"date-parts":[[2017,1,19]],"date-time":"2017-01-19T12:17:55Z","timestamp":1484828275000},"page":"253-267","source":"Crossref","is-referenced-by-count":9,"title":["Hybrid Spectral Difference Methods for an Elliptic Equation"],"prefix":"10.1515","volume":"17","author":[{"given":"Youngmok","family":"Jeon","sequence":"first","affiliation":[{"name":"Department of Mathematics, Ajou University, Suwon 16499, Republic of Korea"}]},{"given":"Eun-Jae","family":"Park","sequence":"additional","affiliation":[{"name":"Department of Computational Science and Engineering, Yonsei University, Seoul 03722, Republic of Korea"}]},{"given":"Dong-wook","family":"Shin","sequence":"additional","affiliation":[{"name":"Center for Mathematical Analysis and Computation, Yonsei University, Seoul 03722, Republic of Korea"}]}],"member":"374","published-online":{"date-parts":[[2017,1,19]]},"reference":[{"key":"2023033114222313828_j_cmam-2016-0043_ref_001_w2aab3b7e1899b1b6b1ab2ab1Aa","doi-asserted-by":"crossref","unstructured":"Balan A., May G. and Schoberl J.,\nA stable high-order spectral difference method for hyperbolic conservation laws on triangular elements,\nJ. 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