{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T14:32:03Z","timestamp":1742394723856},"reference-count":26,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"3","license":[{"start":{"date-parts":[[2017,9,1]],"date-time":"2017-09-01T00:00:00Z","timestamp":1504224000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,9,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The aim of this paper is to build and validate a class of energy-preserving schemes for simulating a complex modified Korteweg\u2013de Vries equation. The method is based on a combination of a discrete variational derivative method in time and finite volume element approximation in space. The resulting scheme is accurate, robust and energy-preserving. In addition, for comparison, we also develop a momentum-preserving finite volume element scheme and an implicit midpoint finite volume element scheme. Finally, a complete numerical study is developed to investigate the accuracy, conservation properties and long time behaviors of the energy-preserving scheme, in comparison with the momentum-preserving scheme and the implicit midpoint scheme, for the complex modified Korteweg\u2013de Vries equation.<\/jats:p>","DOI":"10.1515\/amcs-2017-0036","type":"journal-article","created":{"date-parts":[[2017,9,25]],"date-time":"2017-09-25T10:00:43Z","timestamp":1506333643000},"page":"515-525","source":"Crossref","is-referenced-by-count":4,"title":["Conservative finite volume element schemes for the complex modified Korteweg\u2013de Vries equation"],"prefix":"10.61822","volume":"27","author":[{"given":"Jin-Liang","family":"Yan","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computing , Wuyi University , Fujian , 354300 , China"}]},{"given":"Liang-Hong","family":"Zheng","sequence":"additional","affiliation":[{"name":"Department of Information and Technology , Nanping No. 1 Middle School, Fujian , 353000 , China"}]}],"member":"37438","published-online":{"date-parts":[[2017,9,23]]},"reference":[{"key":"2021040704401067247_j_amcs-2017-0036_ref_001_w2aab3b7b5b1b6b1ab1ab1Aa","unstructured":"Bank, R.E. and Rose, D.J. 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