{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T02:58:29Z","timestamp":1772765909517,"version":"3.50.1"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2016,1,8]],"date-time":"2016-01-08T00:00:00Z","timestamp":1452211200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2016,8]]},"DOI":"10.1007\/s10444-015-9450-z","type":"journal-article","created":{"date-parts":[[2016,1,8]],"date-time":"2016-01-08T07:10:17Z","timestamp":1452237017000},"page":"995-1012","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Haar wavelets method for solving Poisson equations with jump conditions in irregular domain"],"prefix":"10.1007","volume":"42","author":[{"given":"Shi","family":"Zhi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xu","family":"Yan-hua","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhao","family":"Jun-ping","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,1,8]]},"reference":[{"key":"9450_CR1","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1006\/jcph.2000.6444","volume":"160","author":"XD Liu","year":"2000","unstructured":"Liu, X.D., Fedkiw, R.P., Kang, M.: A Boundary condition capturing method for Poissons equation on irregular domains. J. Comput. Phys 160, 151\u2013178 (2000)","journal-title":"J. Comput. Phys"},{"key":"9450_CR2","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1016\/j.jcp.2004.07.011","volume":"202","author":"Z Jomaa","year":"2005","unstructured":"Jomaa, Z., Macaskill, C.: The embedded finite difference method for the Poisson equation in a domain with an irregular boundary and Dirichlet boundary conditions. J. Comput. Phys 202, 488\u2013506 (2005)","journal-title":"J. Comput. Phys"},{"issue":"3","key":"9450_CR3","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1080\/02533839.2009.9671511","volume":"32","author":"JH Chen","year":"2009","unstructured":"Chen, J.H.: A domain-extension radial basis function colloction method for heat transfer in irreggular domains. J. Chin. Inst. Eng 32(3), 319\u2013326 (2009)","journal-title":"J. Chin. Inst. Eng"},{"key":"9450_CR4","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/s10444-007-9043-6","volume":"29","author":"G Chen","year":"2008","unstructured":"Chen, G., Li, Z., Lin, P.: A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow. Adv. Comput. Math 29, 113\u2013133 (2008)","journal-title":"Adv. Comput. Math"},{"issue":"1","key":"9450_CR5","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/BF03011620","volume":"8","author":"D Lee","year":"2001","unstructured":"Lee, D.: Boundart colloction fast Poisson solver on irregular domains. Korean J. Comput. & Appl. Math 8(1), 27\u201344 (2001)","journal-title":"Korean J. Comput. & Appl. Math"},{"key":"9450_CR6","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1016\/j.cam.2008.09.011","volume":"228","author":"W Kong","year":"2009","unstructured":"Kong, W., Wu, X.: Chebyshev tau matrix method for Poisson-type equations in irregular domain. J. Comput. Appl. Math 228, 158\u2013167 (2009)","journal-title":"J. Comput. Appl. Math"},{"key":"9450_CR7","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1016\/j.apm.2007.11.002","volume":"33","author":"N Mai-Duy","year":"2009","unstructured":"Mai-Duy, N., See, H., Tran-Cong, T.: A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains. Appl. Math. Model 33, 284\u2013299 (2009)","journal-title":"Appl. Math. Model"},{"issue":"5","key":"9450_CR8","doi-asserted-by":"crossref","first-page":"1192C1210","DOI":"10.1002\/num.20217","volume":"23","author":"N Mai-Duy","year":"2007","unstructured":"Mai-Duy, N., Tran-Cong, T.: A Cartesian-grid collocation method based on radial-basis-function networks for solving PDEs in irregular domains. Numerical Methods for Partial Differential Equations 23(5), 1192C1210 (2007)","journal-title":"Numerical Methods for Partial Differential Equations"},{"key":"9450_CR9","doi-asserted-by":"crossref","first-page":"7503","DOI":"10.1016\/j.jcp.2008.04.027","volume":"227","author":"T Chen","year":"2008","unstructured":"Chen, T., Strain, J.: Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems. J. Comput. Phys 227, 7503\u20137542 (2008)","journal-title":"J. Comput. Phys"},{"key":"9450_CR10","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1016\/j.apnum.2011.03.005","volume":"61","author":"BC Shin","year":"2011","unstructured":"Shin, B.C., Jung, J.H.: Spectral collocation and radial basis function methods for one-dimensional interface problems. Appl. Numer. Math 61, 911\u2013928 (2011)","journal-title":"Appl. Numer. Math"},{"key":"9450_CR11","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1016\/j.jcp.2004.02.001","volume":"199","author":"W Heinrichs","year":"2004","unstructured":"Heinrichs, W.: Spectral collocation schemes on the unit disc. J. Comput. Phys 199, 66\u201386 (2004)","journal-title":"J. Comput. Phys"},{"issue":"8","key":"9450_CR12","first-page":"84","volume":"1","author":"\u00dc Lepik","year":"2008","unstructured":"Lepik, \u00dc.: Haar wavelet method for solving higher order differential equation. Int. J. Math. Comput. Sci 1(8), 84\u201394 (2008)","journal-title":"Int. J. Math. Comput. Sci"},{"issue":"1","key":"9450_CR13","first-page":"326","volume":"198","author":"\u00dc Lepik","year":"2008","unstructured":"Lepik, \u00dc.: Solving integral and differential equations by the aid of non-uniform Haar wavelets. Appl. Math. and Comput 198(1), 326\u2013332 (2008)","journal-title":"Appl. Math. and Comput"},{"issue":"2","key":"9450_CR14","first-page":"468","volume":"214","author":"\u00dc Lepik","year":"2009","unstructured":"Lepik, \u00dc: Solving fractional integral equations by the Haar wavelet method. Appl. Math. and Comput 214(2), 468\u201347 (2009)","journal-title":"Appl. Math. and Comput"},{"key":"9450_CR15","doi-asserted-by":"crossref","first-page":"1873C1879","DOI":"10.1016\/j.camwa.2011.02.016","volume":"61","author":"\u00dc Lepik","year":"2011","unstructured":"Lepik, \u00dc.: Solving PDEs with the aid of two-dimensional Haar wavelets. Computers and Mathematics with Applications 61, 1873C1879 (2011)","journal-title":"Computers and Mathematics with Applications"},{"key":"9450_CR16","doi-asserted-by":"crossref","first-page":"2858","DOI":"10.1016\/j.mcm.2011.07.006","volume":"54","author":"Z Shi","year":"2011","unstructured":"Shi, Z., Cao, Y.Y.: A spectral collocation method based on Haar wavelets for Poisson equations and biharmonic equations. Math. Comput. Model 54, 2858\u20132868 (2011)","journal-title":"Math. Comput. Model"},{"key":"9450_CR17","doi-asserted-by":"crossref","first-page":"5143","DOI":"10.1016\/j.apm.2011.11.078","volume":"36","author":"Z Shi","year":"2012","unstructured":"Shi, Z., Chen, Y.Y., Cao. Q.j.: Solving 2D and 3D Poisson equations and biharmonic equations by the Haar wavelet method. Appl. Math. Model 36, 5143\u20135161 (2012)","journal-title":"Appl. Math. Model"},{"key":"9450_CR18","doi-asserted-by":"crossref","first-page":"4020","DOI":"10.1016\/j.apm.2011.11.024","volume":"36","author":"Z Shi","year":"2012","unstructured":"Shi, Z., Cao, Y.Y.: Application of Haar wavelet method to eigenvalue problems of high order differential equations. Appl. Math. Model 36, 4020\u20134026 (2012)","journal-title":"Appl. Math. Model"}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-015-9450-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-015-9450-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-015-9450-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,13]],"date-time":"2020-09-13T18:48:27Z","timestamp":1600022907000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-015-9450-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,1,8]]},"references-count":18,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,8]]}},"alternative-id":["9450"],"URL":"https:\/\/doi.org\/10.1007\/s10444-015-9450-z","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,1,8]]}}}