乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T16:40:08Z","timestamp":1732034408947,"version":"3.28.0"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,5,21]],"date-time":"2024-05-21T00:00:00Z","timestamp":1716249600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2024,5,21]],"date-time":"2024-05-21T00:00:00Z","timestamp":1716249600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100023561","name":"Ministerio de Universidades","doi-asserted-by":"publisher","award":["PID2020-117211GB-I00","PID2020-117211GB-I00"],"id":[{"id":"10.13039\/501100023561","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100014849","name":"Conselleria de Cultura, Educaci\u00f3n y Ciencia, Generalitat Valenciana","doi-asserted-by":"publisher","award":["CIAICO\/2021\/227"],"id":[{"id":"10.13039\/501100014849","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Universitat de Valencia"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2024,7]]},"abstract":"Abstract<\/jats:title>A set of arbitrarily high-order WENO schemes for reconstructions on nonuniform grids is presented. These non-linear interpolation methods use simple smoothness indicators with a linear cost with respect to the order, making them easy to implement and computationally efficient. The theoretical analysis to verify the accuracy and the essentially non-oscillatory properties are presented together with some numerical experiments involving algebraic problems in order to validate them. Also, these general schemes are applied for the solution of conservation laws and hyperbolic systems in the context of finite volume methods.<\/jats:p>","DOI":"10.1007\/s10915-024-02558-6","type":"journal-article","created":{"date-parts":[[2024,5,21]],"date-time":"2024-05-21T19:01:41Z","timestamp":1716318101000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Efficient WENO Schemes for Nonuniform Grids"],"prefix":"10.1007","volume":"100","author":[{"given":"M. Carmen","family":"Mart\u00ed","sequence":"first","affiliation":[]},{"given":"Pep","family":"Mulet","sequence":"additional","affiliation":[]},{"given":"Dionisio F.","family":"Y\u00e1\u00f1ez","sequence":"additional","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0001-7082-5487","authenticated-orcid":false,"given":"David","family":"Zor\u00edo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,5,21]]},"reference":[{"issue":"6","key":"2558_CR1","doi-asserted-by":"publisher","first-page":"3448","DOI":"10.1137\/20M1337090","volume":"58","author":"S Amat","year":"2020","unstructured":"Amat, S., Ruiz-Alvarez, J., Shu, C.-W., Y\u00e1\u00f1ez, D.F.: A new WENO-$$2r$$ Algorithm with progressive order of accuracy close to discontinuities. SIAM J. Numer. Anal. 58(6), 3448\u20133474 (2020)","journal-title":"SIAM J. Numer. Anal."},{"key":"2558_CR2","doi-asserted-by":"crossref","unstructured":"Amat, S., Ruiz-Alvarez, J., Shu, C.-W., Y\u00e1\u00f1ez, D.F.: Cell-average WENO with progressive order of accuracy close to discontinuities with applications to signal processing. App. Math. Comput. 403, 126131 (2021)","DOI":"10.1016\/j.amc.2021.126131"},{"issue":"2","key":"2558_CR3","doi-asserted-by":"publisher","first-page":"893","DOI":"10.1137\/100791579","volume":"49","author":"F Ar\u00e0ndiga","year":"2011","unstructured":"Ar\u00e0ndiga, F., Baeza, A., Belda, A.M., Mulet, P.: Analysis of WENO schemes for full and global accuracy. SIAM J. Numer. Anal. 49(2), 893\u2013915 (2011)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"2558_CR4","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1007\/s10915-010-9351-8","volume":"43","author":"F Ar\u00e0ndiga","year":"2010","unstructured":"Ar\u00e0ndiga, F., Baeza, A., Belda, A.M., Mulet, P.: Point-value WENO multiresolution applications to stable image compression. J. Sci. Comput. 43(2), 158\u2013182 (2010)","journal-title":"J. Sci. Comput."},{"key":"2558_CR5","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1007\/s10915-018-0773-z","volume":"78","author":"A Baeza","year":"2019","unstructured":"Baeza, A., B\u00fcrger, R., Mulet, P., Zor\u00edo, D.: Central WENO schemes through a global average weight. J. Sci. Comput. 78, 499\u2013530 (2019)","journal-title":"J. Sci. Comput."},{"issue":"6","key":"2558_CR6","doi-asserted-by":"publisher","first-page":"2760","DOI":"10.1137\/18M1229900","volume":"57","author":"A Baeza","year":"2019","unstructured":"Baeza, A., B\u00fcrger, R., Mulet, P., Zor\u00edo, D.: WENO reconstructions of unconditionally optimal high order SIAM. J. Numer. Anal. 57(6), 2760\u20132784 (2019)","journal-title":"J. Numer. Anal."},{"key":"2558_CR7","doi-asserted-by":"publisher","first-page":"A1028","DOI":"10.1137\/19M1260396","volume":"42","author":"A Baeza","year":"2020","unstructured":"Baeza, A., B\u00fcrger, R., Mulet, P., Zor\u00edo, D.: An efficient third-order WENO scheme with unconditionally optimal accuracy. SIAM J. Sci. Comput. 42, A1028\u2013A1051 (2020)","journal-title":"SIAM J. Sci. Comput."},{"issue":"6","key":"2558_CR8","doi-asserted-by":"publisher","first-page":"3191","DOI":"10.1016\/j.jcp.2007.11.038","volume":"227","author":"R Borges","year":"2008","unstructured":"Borges, R., Carmona, M., Costa, B., Don, W.S.: An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. J. Comput. Phys. 227(6), 3191\u20133211 (2008)","journal-title":"J. Comput. Phys."},{"key":"2558_CR9","doi-asserted-by":"publisher","first-page":"1240","DOI":"10.1007\/s10915-019-00974-7","volume":"80","author":"A Baeza","year":"2019","unstructured":"Baeza, A., B\u00fcrger, R., Mulet, P., Zor\u00edo, D.: On the efficient computation of smoothness indicators for a class of WENO reconstructions. J. Sci. Comput. 80, 1240\u20131263 (2019)","journal-title":"J. Sci. Comput."},{"key":"2558_CR10","doi-asserted-by":"publisher","first-page":"1071","DOI":"10.1137\/040608787","volume":"27","author":"E Carlini","year":"2005","unstructured":"Carlini, E., Ferretti, R., Russo, G.: A weighted essentially nonoscillatory, large time-step scheme for Hamilton\u2013Jacobi equations. SIAM J. Sci. Comput. 27, 1071\u20131091 (2005)","journal-title":"SIAM J. Sci. Comput."},{"issue":"2","key":"2558_CR11","doi-asserted-by":"publisher","first-page":"542","DOI":"10.1016\/j.jcp.2005.01.023","volume":"207","author":"AK Henrick","year":"2005","unstructured":"Henrick, A.K., Aslam, T.D., Powers, J.M.: Mapped weighted essentially non-oscillatory schemes: achieving optimal order near critical points. J. Comput. Phys. 207(2), 542\u2013567 (2005)","journal-title":"J. Comput. Phys."},{"key":"2558_CR12","unstructured":"Holoborodko, P.: MPFR C++. http:\/\/www.holoborodko.com\/pavel\/mpfr\/"},{"key":"2558_CR13","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1006\/jcph.1996.0130","volume":"126","author":"GS Jiang","year":"1996","unstructured":"Jiang, G.S., Shu, C.W.: Efficient implementation of Weighted ENO schemes. J. Comput. Phys. 126, 202\u2013228 (1996)","journal-title":"J. Comput. Phys."},{"key":"2558_CR14","doi-asserted-by":"crossref","unstructured":"Kossaczk\u00e1, T., Ehrhardt, M., G\u00fcnther, M.: A deep smoothness WENO method with applications in option pricing. In: Ehrhardt, M., G\u00fcnther, M. (eds.), Progress in Industrial Mathematics at ECMI 2021. ECMI 2021. Mathematics in Industry(), vol 39. Springer, Cham (2022)","DOI":"10.1007\/978-3-031-11818-0"},{"issue":"3","key":"2558_CR15","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1051\/m2an:1999152","volume":"33","author":"D Levy","year":"1999","unstructured":"Levy, D., Puppo, G., Russo, G.: Central WENO schemes for hyperbolic conservation laws. ESAIM: Math. Modell. Numer. Anal. 33(3), 547\u2013571 (1999)","journal-title":"ESAIM: Math. Modell. Numer. Anal."},{"issue":"1","key":"2558_CR16","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1006\/jcph.1994.1187","volume":"115","author":"X-D Liu","year":"1994","unstructured":"Liu, X.-D., Osher, S., Chan, T.: Weighted essentially non-oscillatory schemes. J. Comput. Phys. 115(1), 200\u2013212 (1994)","journal-title":"J. Comput. Phys."},{"key":"2558_CR17","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/j.jcp.2012.11.039","volume":"237","author":"P Mulet","year":"2013","unstructured":"Mulet, P., Vecil, F.: A semi-Lagrangian AMR scheme for 2D transport problems in conservation form. J. Comput. Phys. 237, 151\u2013176 (2013)","journal-title":"J. Comput. Phys."},{"key":"2558_CR18","doi-asserted-by":"publisher","first-page":"108","DOI":"10.1006\/jcph.2001.6892","volume":"175","author":"J Shi","year":"2002","unstructured":"Shi, J., Hu, C., Shu, C.-W.: A technique of treating negative weights in WENO schemes. J. Comput. Phys. 175, 108\u2013127 (2002)","journal-title":"J. Comput. Phys."},{"key":"2558_CR19","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/BFb0096355","volume-title":"Advanced Numerical Approximation of Nonlinear Hyperbolic Equations. Lecture Notes in Mathematics","author":"C-W Shu","year":"1998","unstructured":"Shu, C.-W.: Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. In: Cockburn, B., Johnson, C., Shu, C.-W., Tadmor, E., Quarteroni, A. (eds.) Advanced Numerical Approximation of Nonlinear Hyperbolic Equations. Lecture Notes in Mathematics, vol. 1697, pp. 325\u2013432. Springer, Berlin (1998)"},{"key":"2558_CR20","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1137\/070679065","volume":"51","author":"C-W Shu","year":"2009","unstructured":"Shu, C.-W.: High order weighted essentially nonoscillatory schemes for convection dominated problems. SIAM Rev. 51, 82\u2013126 (2009)","journal-title":"SIAM Rev."},{"key":"2558_CR21","doi-asserted-by":"publisher","first-page":"439","DOI":"10.1016\/0021-9991(88)90177-5","volume":"77","author":"C-W Shu","year":"1988","unstructured":"Shu, C.-W., Osher, S.: Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phys. 77, 439\u2013471 (1988)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"2558_CR22","doi-asserted-by":"publisher","first-page":"32","DOI":"10.1016\/0021-9991(89)90222-2","volume":"83","author":"C-W Shu","year":"1989","unstructured":"Shu, C.-W., Osher, S.: Efficient implementation of essentially non-oscillatory shock-capturing schemes II. J. Comput. Phys. 83(1), 32\u201378 (1989)","journal-title":"J. Comput. Phys."},{"key":"2558_CR23","first-page":"278","volume":"59","author":"K Siddiqi","year":"1997","unstructured":"Siddiqi, K., Kimia, B.B., Shu, C.-W.: Geometric shock-capturing ENO schemes for sub-pixel interpolation, computation and curve evolution. CVGIP:GMIP 59, 278\u2013301 (1997)","journal-title":"CVGIP:GMIP"},{"key":"2558_CR24","unstructured":"The GNU MPFR library. http:\/\/www.mpfr.org\/"},{"issue":"11","key":"2558_CR25","doi-asserted-by":"publisher","first-page":"4248","DOI":"10.1016\/j.jcp.2009.03.002","volume":"228","author":"NK Yamaleev","year":"2009","unstructured":"Yamaleev, N.K., Carpenter, M.H.: A systematic methodology to for constructing high-order energy stable WENO schemes. J. Comput. Phys. 228(11), 4248\u20134272 (2009)","journal-title":"J. Comput. Phys."},{"key":"2558_CR26","doi-asserted-by":"crossref","unstructured":"Zhang, Y.-T., Shu, C.-W.: ENO and WENO schemes. In: Chapter\u00a05 Abgrall, R., Shu, C.-W. (eds.), Handbook of Numerical Methods for Hyperbolic Problems Basic and Fundamental Issues. Handbook of Numerical Analysis vol.\u00a017, North Holland, pp. 103\u2013122 (2016)","DOI":"10.1016\/bs.hna.2016.09.009"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-024-02558-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-024-02558-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-024-02558-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T16:08:27Z","timestamp":1732032507000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-024-02558-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,5,21]]},"references-count":26,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,7]]}},"alternative-id":["2558"],"URL":"https:\/\/doi.org\/10.1007\/s10915-024-02558-6","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2024,5,21]]},"assertion":[{"value":"31 July 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 March 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 April 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 May 2024","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no Conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"6"}}