乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,11]],"date-time":"2024-07-11T09:12:05Z","timestamp":1720689125173},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,3,21]],"date-time":"2020-03-21T00:00:00Z","timestamp":1584748800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,3,21]],"date-time":"2020-03-21T00:00:00Z","timestamp":1584748800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2020,5]]},"DOI":"10.1007\/s00211-020-01109-z","type":"journal-article","created":{"date-parts":[[2020,3,23]],"date-time":"2020-03-23T07:44:02Z","timestamp":1584949442000},"page":"77-115","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":32,"title":["A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson\u2013Nernst\u2013Planck equations"],"prefix":"10.1007","volume":"145","author":[{"given":"Jingwei","family":"Hu","sequence":"first","affiliation":[]},{"given":"Xiaodong","family":"Huang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,3,21]]},"reference":[{"key":"1109_CR1","doi-asserted-by":"publisher","first-page":"571","DOI":"10.1080\/00411450008205893","volume":"29","author":"A Arnold","year":"2000","unstructured":"Arnold, A., Markowich, P., Toscani, G.: On large time asymptotics for drift-diffusion-Poisson systems. Transp. Theory Statist. Phys. 29, 571\u2013581 (2000)","journal-title":"Transp. Theory Statist. Phys."},{"key":"1109_CR2","unstructured":"Bailo, R., Carrillo, J., Hu, J.: Fully discrete positivity-preserving and energy-decaying schemes for aggregation-diffusion equations with a gradient flow structure. preprint"},{"key":"1109_CR3","doi-asserted-by":"publisher","first-page":"1121","DOI":"10.1016\/0362-546X(92)90186-I","volume":"19","author":"P Biler","year":"1992","unstructured":"Biler, P.: Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions. Nonlinear Anal. 19, 1121\u20131136 (1992)","journal-title":"Nonlinear Anal."},{"key":"1109_CR4","doi-asserted-by":"publisher","first-page":"461","DOI":"10.1007\/s000230050003","volume":"1","author":"P Biler","year":"2000","unstructured":"Biler, P., Dolbeault, J.: Long time behavior of solutions to Nernst\u2013Planck and Debye\u2013H\u00fcckel drift-diffusion systems. Ann. Henri Poincar\u00e9 1, 461\u2013472 (2000)","journal-title":"Ann. Henri Poincar\u00e9"},{"key":"1109_CR5","doi-asserted-by":"publisher","first-page":"1189","DOI":"10.1016\/0362-546X(94)90101-5","volume":"23","author":"P Biler","year":"1994","unstructured":"Biler, P., Hebisch, W., Nadzieja, T.: The Debye system: existence and large time behavior of solutions. Nonlinear Anal. 23, 1189\u20131209 (1994)","journal-title":"Nonlinear Anal."},{"key":"1109_CR6","doi-asserted-by":"publisher","first-page":"B982","DOI":"10.1137\/17M1146956","volume":"40","author":"A Bousquet","year":"2018","unstructured":"Bousquet, A., Hu, X., Metti, M., Xu, J.: Newton solvers for drift-diffusion and electrokinetic equations. SIAM J. Sci. Comput. 40, B982\u2013B1006 (2018)","journal-title":"SIAM J. Sci. Comput."},{"key":"1109_CR7","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1081\/TT-120037804","volume":"33","author":"C Buet","year":"2004","unstructured":"Buet, C., Cordier, S., Dos Santos, V.: A conservative and entropy scheme for a simplified model of granular media. Transport Theory Stat. Phys. 33, 125\u2013155 (2004)","journal-title":"Transport Theory Stat. Phys."},{"key":"1109_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0021-9991(70)90001-X","volume":"6","author":"JS Chang","year":"1970","unstructured":"Chang, J.S., Cooper, G.: A practical difference scheme for Fokker-Planck equations. J. Comput. Phys. 6, 1\u201316 (1970)","journal-title":"J. Comput. Phys."},{"key":"1109_CR9","first-page":"A22","volume":"64","author":"D Chen","year":"1993","unstructured":"Chen, D., Eisenberg, R.: Poisson\u2013Nernst\u2013Planck (PNP) theory of open ionic channels. Biophys. J. 64, A22 (1993)","journal-title":"Biophys. J ."},{"key":"1109_CR10","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1080\/001075198181775","volume":"39","author":"R Eisenberg","year":"1998","unstructured":"Eisenberg, R.: Ion channels in biological membranes: electrostatic analysis of a natural nanotube. Contemp. Phys. 39, 447 (1998)","journal-title":"Contemp. Phys."},{"key":"1109_CR11","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1007\/s10825-017-0969-8","volume":"16","author":"A Flavell","year":"2017","unstructured":"Flavell, A., Kabre, J., Li, X.: An energy-preserving discretization for the Poisson\u2013Nernst\u2013Planck equations. J. Comput. Electron. 16, 431\u2013441 (2017)","journal-title":"J. Comput. Electron."},{"key":"1109_CR12","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1007\/s10825-013-0506-3","volume":"13","author":"A Flavell","year":"2014","unstructured":"Flavell, A., Machen, M., Eisenberg, B., Kabre, J., Liu, C., Li, X.: A conservative finite difference scheme for Poisson\u2013Nernst\u2013Planck equations. J. Comput. Electron. 13, 235\u2013249 (2014)","journal-title":"J. Comput. Electron."},{"key":"1109_CR13","doi-asserted-by":"publisher","first-page":"3162","DOI":"10.1529\/biophysj.105.078741","volume":"91","author":"S Furini","year":"2006","unstructured":"Furini, S., Zerbetto, F., Cavalcanti, S.: Application of the Poisson\u2013Nernst\u2013Planck theory with space-dependent diffusion coefficients to KcsA. Biophys. J. 91, 3162\u20133169 (2006)","journal-title":"Biophys. J ."},{"key":"1109_CR14","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1090\/qam\/1146626","volume":"50","author":"A Krzywicki","year":"1992","unstructured":"Krzywicki, A., Nadzieja, T.: A nonstationary problem in the theory of electrolytes. Quart. Appl. Math. 50, 105\u2013107 (1992)","journal-title":"Quart. Appl. Math."},{"key":"1109_CR15","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1016\/j.jcp.2014.02.036","volume":"268","author":"H Liu","year":"2014","unstructured":"Liu, H., Wang, Z.: A free energy satisfying finite difference method for Poisson\u2013Nernst\u2013Planck equations. J. Comput. Phys. 268, 363\u2013376 (2014)","journal-title":"J. Comput. Phys."},{"key":"1109_CR16","doi-asserted-by":"publisher","first-page":"413","DOI":"10.1016\/j.jcp.2016.10.008","volume":"328","author":"H Liu","year":"2017","unstructured":"Liu, H., Wang, Z.: A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson\u2013Nernst\u2013Planck systems. J. Comput. Phys. 328, 413\u2013437 (2017)","journal-title":"J. Comput. Phys."},{"key":"1109_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7091-6961-2","volume-title":"Semiconductor Equations","author":"PA Markowich","year":"1990","unstructured":"Markowich, P.A., Ringhofer, C., Schmeiser, C.: Semiconductor Equations. Springer, New York (1990)"},{"key":"1109_CR18","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jcp.2015.10.053","volume":"306","author":"M Metti","year":"2016","unstructured":"Metti, M., Xu, J., Liu, C.: Energetically stable discretizations for charge transport and electrokinetic models. J. Comput. Phys. 306, 1\u201318 (2016)","journal-title":"J. Comput. Phys."},{"key":"1109_CR19","doi-asserted-by":"publisher","first-page":"1575","DOI":"10.1007\/s10915-017-0510-z","volume":"74","author":"L Pareschi","year":"2018","unstructured":"Pareschi, L., Zanella, M.: Structure preserving schemes for nonlinear Fokker\u2013Planck equations and applications. J. Sci. Comput. 74, 1575\u20131600 (2018)","journal-title":"J. Sci. Comput."},{"key":"1109_CR20","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1109\/T-ED.1969.16566","volume":"16","author":"DL Scharfetter","year":"1969","unstructured":"Scharfetter, D.L., Gummel, H.K.: Large signal analysis of a silicon read diode. IEEE Trans. Electron Dev. 16, 64\u201367 (1969)","journal-title":"IEEE Trans. Electron Dev."},{"key":"1109_CR21","doi-asserted-by":"publisher","first-page":"993","DOI":"10.1142\/S0218202509003693","volume":"19","author":"M Schmuck","year":"2009","unstructured":"Schmuck, M.: Analysis of the Navier\u2013Stokes\u2013Nernst\u2013Planck\u2013Poisson system. Math. Models Methods Appl. Sci. 19, 993\u20131015 (2009)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"1109_CR22","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1137\/110845690","volume":"54","author":"G-W Wei","year":"2012","unstructured":"Wei, G.-W., Zheng, Q., Chen, Z., Xia, K.: Variational multiscale models for charge transport. SIAM Rev. 54, 699\u2013754 (2012)","journal-title":"SIAM Rev."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-020-01109-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-020-01109-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-020-01109-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,21]],"date-time":"2021-03-21T00:09:17Z","timestamp":1616285357000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-020-01109-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,21]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2020,5]]}},"alternative-id":["1109"],"URL":"https:\/\/doi.org\/10.1007\/s00211-020-01109-z","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,3,21]]},"assertion":[{"value":"25 April 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"23 January 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 March 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}