{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T08:04:50Z","timestamp":1758269090295},"reference-count":12,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2004,1,1]],"date-time":"2004-01-01T00:00:00Z","timestamp":1072915200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2004,1]]},"DOI":"10.1016\/s0096-3003(02)00845-7","type":"journal-article","created":{"date-parts":[[2003,3,4]],"date-time":"2003-03-04T14:05:18Z","timestamp":1046786718000},"page":"307-320","source":"Crossref","is-referenced-by-count":17,"title":["Wavelet based multigrid methods for linear and nonlinear elliptic partial differential equations"],"prefix":"10.1016","volume":"148","author":[{"given":"A.","family":"Avudainayagam","sequence":"first","affiliation":[]},{"given":"C.","family":"Vani","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(02)00845-7_BIB1","series-title":"Proceedings of Third International Conference on Numerical Methods in Fluid Mechanics, vol. 1","first-page":"82","article-title":"Multi-level adaptive technique (MLAT) for fast numerical solution to boundary value problems","volume":"vol. 18","author":"Brandt","year":"1973"},{"key":"10.1016\/S0096-3003(02)00845-7_BIB2","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1090\/S0025-5718-1977-0431719-X","article-title":"Multi-level adaptive solutions to boundary value problems","volume":"31","author":"Brandt","year":"1977","journal-title":"Math. Comp."},{"key":"10.1016\/S0096-3003(02)00845-7_BIB3","series-title":"A Multigrid Tutorial","author":"Briggs","year":"1999"},{"key":"10.1016\/S0096-3003(02)00845-7_BIB4","doi-asserted-by":"crossref","first-page":"506","DOI":"10.1137\/0914031","article-title":"Wavelets and multigrid","volume":"14","author":"Briggs","year":"1993","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1016\/S0096-3003(02)00845-7_BIB5","doi-asserted-by":"crossref","first-page":"909","DOI":"10.1002\/cpa.3160410705","article-title":"Orthonormal basis of compactly supported wavelets","volume":"41","author":"Daubechies","year":"1988","journal-title":"Commun. Pure Appl. Math."},{"issue":"3","key":"10.1016\/S0096-3003(02)00845-7_BIB6","doi-asserted-by":"crossref","first-page":"227","DOI":"10.1016\/0041-5553(64)90253-8","article-title":"The speed of convergence of one iterative process","volume":"4","author":"Federenko","year":"1964","journal-title":"USSR Comp. Math. Math. Phys."},{"key":"10.1016\/S0096-3003(02)00845-7_BIB7","doi-asserted-by":"crossref","first-page":"723","DOI":"10.1137\/0515056","article-title":"Decomposition of Hardy functions into square integrable wavelets of constant shape","volume":"15","author":"Grossmann","year":"1984","journal-title":"SIAM J. Math. Anal."},{"key":"10.1016\/S0096-3003(02)00845-7_BIB8","first-page":"69","article-title":"Multiresolution approximations and wavelet orthonormal bases of L2(R)","volume":"315","author":"Mallat","year":"1989","journal-title":"Trans. Am. Math. Soc."},{"key":"10.1016\/S0096-3003(02)00845-7_BIB9","first-page":"1","article-title":"Principe d\u2019incertitude, bases Hilbertiennes et algebres d\u2019operateurs","volume":"662","author":"Meyer","year":"1985","journal-title":"Seminaire Bourbaki"},{"key":"10.1016\/S0096-3003(02)00845-7_BIB10","series-title":"Analysis at Urbana I: Analysis in Function Spaces","first-page":"256","article-title":"Wavelets and operators","author":"Meyer","year":"1989"},{"key":"10.1016\/S0096-3003(02)00845-7_BIB11","unstructured":"W. Hackbush, Ein iteratives Verfahren zur schnellen Auflosung elliptischer Randwert probleme. Report 76-12, Universitat Koln, 1976"},{"key":"10.1016\/S0096-3003(02)00845-7_BIB12","series-title":"Conference on Harmonic Analysis II","first-page":"466","article-title":"A modified Franklin system and higher order spline systems on Rn as unconditional bases for Hardy spaces","author":"Stromberg","year":"1981"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300302008457?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300302008457?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,27]],"date-time":"2019-03-27T06:58:36Z","timestamp":1553669916000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300302008457"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["S0096300302008457"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(02)00845-7","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2004,1]]}}}