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The\nnew scheme is based on the flux Kurganov, Noelle and Petrova (KNP flux).\nThe spatial discretization is based on a symmetrical weighted\nessentially non-oscillatory reconstruction of the derivative.\nFollowing the methodology of the classic WENO procedure,\nnon-oscillatory weights are then calculated from the ideal weights.\nVarious numerical experiments are performed to demonstrate\nthe accuracy and stability properties of the new method. As a result,\ncomparing with other fifth-order schemes for HJ\nequations, the major advantage of the new scheme is more cost\neffective for certain problems while the new method exhibits smaller\nerrors without any increase in the complexity of the computations.<\/jats:p>","DOI":"10.1515\/cmam-2017-0031","type":"journal-article","created":{"date-parts":[[2017,8,27]],"date-time":"2017-08-27T10:01:20Z","timestamp":1503828080000},"page":"559-580","source":"Crossref","is-referenced-by-count":10,"title":["High-Order Semi-Discrete Central-Upwind Schemes with Lax\u2013Wendroff-Type Time Discretizations for Hamilton\u2013Jacobi Equations"],"prefix":"10.1515","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1739-5964","authenticated-orcid":false,"given":"Rooholah","family":"Abedian","sequence":"first","affiliation":[{"name":"Department of Engineering Science , College of Engineering , University of Tehran , Tehran , Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2017,8,26]]},"reference":[{"key":"2025051309545321071_j_cmam-2017-0031_ref_001_w2aab3b7b1b1b6b1ab2b1b1Aa","doi-asserted-by":"crossref","unstructured":"J. B.  Bell, P.  Colella and H. M.  Glaz,\nA second-order projection method for the incompressible Navier\u2013Stokes equations,\nJ. Comput. Phys. 85 (1989), no. 2, 257\u2013283.","DOI":"10.1016\/0021-9991(89)90151-4"},{"key":"2025051309545321071_j_cmam-2017-0031_ref_002_w2aab3b7b1b1b6b1ab2b1b2Aa","doi-asserted-by":"crossref","unstructured":"D. L.  Brown and M. L.  Minion,\nPerformance of under-resolved two-dimensional incompressible flow simulations,\nJ. Comput. Phys. 122 (1995), no. 1, 165\u2013183.","DOI":"10.1006\/jcph.1995.1205"},{"key":"2025051309545321071_j_cmam-2017-0031_ref_003_w2aab3b7b1b1b6b1ab2b1b3Aa","doi-asserted-by":"crossref","unstructured":"S.  Bryson, A.  Kurganov, D.  Levy and G.  Petrova,\nSemi-discrete central-upwind schemes with reduced dissipation for Hamilton\u2013Jacobi equations,\nIMA J. Numer. Anal. 25 (2005), no. 1, 113\u2013138.","DOI":"10.1093\/imanum\/drh015"},{"key":"2025051309545321071_j_cmam-2017-0031_ref_004_w2aab3b7b1b1b6b1ab2b1b4Aa","doi-asserted-by":"crossref","unstructured":"S.  Bryson and D.  Levy,\nCentral schemes for multidimensional Hamilton\u2013Jacobi equations,\nSIAM J. Sci. Comput. 25 (2003), no. 3, 767\u2013791.","DOI":"10.1137\/S1064827501394969"},{"key":"2025051309545321071_j_cmam-2017-0031_ref_005_w2aab3b7b1b1b6b1ab2b1b5Aa","doi-asserted-by":"crossref","unstructured":"S.  Bryson and D.  Levy,\nHigh-order central WENO schemes for 1D Hamilton\u2013Jacobi equations,\nNumerical Mathematics and Advanced Applications,\nSpringer, Milan (2003), 45\u201354.","DOI":"10.1007\/978-88-470-2089-4_4"},{"key":"2025051309545321071_j_cmam-2017-0031_ref_006_w2aab3b7b1b1b6b1ab2b1b6Aa","doi-asserted-by":"crossref","unstructured":"S.  Bryson and D.  Levy,\nHigh-order central WENO schemes for multidimensional Hamilton\u2013Jacobi equations,\nSIAM J. Numer. 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