{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T10:42:48Z","timestamp":1777459368333,"version":"3.51.4"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,9,8]],"date-time":"2015-09-08T00:00:00Z","timestamp":1441670400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea(NRF)","doi-asserted-by":"crossref","award":["2009-0093827"],"award-info":[{"award-number":["2009-0093827"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2016,5]]},"DOI":"10.1007\/s10915-015-0096-2","type":"journal-article","created":{"date-parts":[[2015,9,8]],"date-time":"2015-09-08T13:55:32Z","timestamp":1441720532000},"page":"602-617","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Convergence Analysis of the Standard Central Finite Difference Method for Poisson Equation"],"prefix":"10.1007","volume":"67","author":[{"given":"Gangjoon","family":"Yoon","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chohong","family":"Min","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,9,8]]},"reference":[{"key":"96_CR1","volume-title":"Introduction to Numerical Linear and Optimization","author":"P Ciarlet","year":"1998","unstructured":"Ciarlet, P.: Introduction to Numerical Linear and Optimization. Cambridge Texts in Applied Mathematics, New York (1998)"},{"key":"96_CR2","volume-title":"Partial Differential Equations. Graduate Studies in Mathematics","author":"LC Evans","year":"1998","unstructured":"Evans, L.C.: Partial Differential Equations. Graduate Studies in Mathematics, vol. 19. American Mathematical Society, Providence (1998)"},{"key":"96_CR3","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1006\/jcph.2001.6977","volume":"176","author":"F Gibou","year":"2002","unstructured":"Gibou, F., Fedkiw, R., Cheng, L.-T., Kang, M.: A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. J. Comput. Phys. 176, 205\u2013227 (2002)","journal-title":"J. Comput. Phys."},{"key":"96_CR4","doi-asserted-by":"crossref","first-page":"2182","DOI":"10.1063\/1.1761178","volume":"8","author":"F Harlow","year":"1965","unstructured":"Harlow, F., Welch, J.: Numerical calculation of time-dependent viscous incompressible flow of fluids with free surfaces. Phys. Fluids 8, 2182\u20132189 (1965)","journal-title":"Phys. Fluids"},{"key":"96_CR5","volume-title":"A first course in numerical analysis of differential equations","author":"A Iserles","year":"1996","unstructured":"Iserles, A.: A first course in numerical analysis of differential equations. Cambridge University Press, Cambridge (1996)"},{"key":"96_CR6","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1081\/NFA-120022918","volume":"24","author":"Z-C Li","year":"2003","unstructured":"Li, Z.-C., Hu, H.Y., Fang, Q., Yamamoto, T.: Superconvergence of solution derivatives for the Shortley\u2013Weller difference approximation of Poisson\u2019s equation II. Singularity problems. Numer. Funct. Anal. Optim. 24, 195\u2013221 (2003)","journal-title":"Numer. Funct. Anal. Optim."},{"key":"96_CR7","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1016\/j.apnum.2007.02.007","volume":"58","author":"Z-C Li","year":"2008","unstructured":"Li, Z.-C., Hu, H.Y., Wang, S., Fang, Q.: Superconvergence of solution derivatives of the Shortley\u2013Weller difference approximation to Poisson\u2019s equation with singularities on polygonal domains. Appl. Numer. Math. 58, 689\u2013704 (2008)","journal-title":"Appl. Numer. Math."},{"key":"96_CR8","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1016\/S0377-0427(99)00321-0","volume":"116","author":"N Matsunaga","year":"2000","unstructured":"Matsunaga, N., Yamamoto, T.: The fast solution of Poisson\u2019s and the biharmonic equations on irregular regions. J. Comput. Appl. Math. 116, 263\u2013273 (2000)","journal-title":"J. Comput. Appl. Math."},{"key":"96_CR9","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1007\/s10915-009-9299-8","volume":"41","author":"Y-T Ng","year":"2009","unstructured":"Ng, Y.-T., Chen, H., Min, C., Gibou, F.: Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method. J. Sci. Comput. 41, 300\u2013320 (2009)","journal-title":"J. Sci. Comput."},{"key":"96_CR10","doi-asserted-by":"crossref","first-page":"8807","DOI":"10.1016\/j.jcp.2009.08.032","volume":"228","author":"Y-T Ng","year":"2009","unstructured":"Ng, Y.-T., Min, C., Gibou, F.: An efficient fluid\u2013solid coupling algorithm for single-phase flows. J. Comput. Phys. 228, 8807\u20138829 (2009)","journal-title":"J. Comput. Phys."},{"key":"96_CR11","doi-asserted-by":"crossref","first-page":"1170","DOI":"10.2514\/3.7617","volume":"17","author":"JW Purvis","year":"1979","unstructured":"Purvis, J.W., Burkhalter, J.E.: Prediction of critical Mach number for store configurations. AIAA J. 17, 1170\u20131177 (1979)","journal-title":"AIAA J."},{"key":"96_CR12","volume-title":"Iterative Methods for Sparse Linear Systems","author":"Y Saad","year":"1996","unstructured":"Saad, Y.: Iterative Methods for Sparse Linear Systems. PWS Publishing, New York (1996)"},{"key":"96_CR13","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1063\/1.1710426","volume":"9","author":"GH Shortley","year":"1938","unstructured":"Shortley, G.H., Weller, R.: Numerical solution of Laplace\u2019s equation. J. Appl. Phys. 9, 334\u2013348 (1938)","journal-title":"J. Appl. Phys."},{"key":"96_CR14","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898717938","volume-title":"Finite Difference Schemes and Partial Differential Equations","author":"JC Strikwerda","year":"2004","unstructured":"Strikwerda, J.C.: Finite Difference Schemes and Partial Differential Equations. SIAM, Philadelphia (2004)"},{"key":"96_CR15","first-page":"51","volume":"18","author":"G Yoon","year":"2014","unstructured":"Yoon, G., Min, C.: A review of the supra-convergences of Shortley\u2013Weller method for Poisson equation. J. KSIAM 18, 51\u201360 (2014)","journal-title":"J. KSIAM"},{"key":"96_CR16","doi-asserted-by":"crossref","unstructured":"Yoon, G., Min, C.: Analyses on the finite difference method by Gibou et al. for Poisson equation. J. Comput. Phys. 280, 184\u2013194 (2015)","DOI":"10.1016\/j.jcp.2014.09.009"},{"key":"96_CR17","unstructured":"Yoon, G., Park, J., Min, C.: Convergence analysis on the Gibou\u2013Min method for the Hodge projection. Commun. Math. Sci. (submitted to)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-015-0096-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-015-0096-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-015-0096-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T04:45:53Z","timestamp":1559450753000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-015-0096-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9,8]]},"references-count":17,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,5]]}},"alternative-id":["96"],"URL":"https:\/\/doi.org\/10.1007\/s10915-015-0096-2","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,9,8]]}}}