{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T02:36:22Z","timestamp":1768790182750,"version":"3.49.0"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numerical Algorithms"],"published-print":{"date-parts":[[2003,1]]},"DOI":"10.1023\/a:1022253303343","type":"journal-article","created":{"date-parts":[[2003,3,28]],"date-time":"2003-03-28T22:23:32Z","timestamp":1048890212000},"page":"13-25","source":"Crossref","is-referenced-by-count":72,"title":["An Adaptive Greedy Algorithm for Solving Large RBF Collocation Problems"],"prefix":"10.1007","volume":"32","author":[{"given":"Y.C.","family":"Hon","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Schaback","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"X.","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5104221_CR1","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/BF02124742","volume":"5","author":"R.A. DeVore","year":"1996","unstructured":"R.A. DeVore and V.N. Temlyakov, Some remarks on greedy algorithms, Adv. Comput.Math. 5 (1996) 173\u2013187.","journal-title":"Adv. Comput.Math."},{"key":"5104221_CR2","first-page":"131","volume-title":"Surface Fitting and Multiresolution Methods","author":"G. Fasshauer","year":"1997","unstructured":"G. Fasshauer, Solving partial differential equations by collocation with radial basis functions, in: Surface Fitting and Multiresolution Methods, eds. A. LeM\u00e9haut\u00e9, C. Rabut and L.L. Schumaker (Vanderbilt Univ. Press, Nashville, 1997) pp. 131\u2013138."},{"key":"5104221_CR3","unstructured":"A. Faul and M.J.D. Powell, Proof of convergence of an iterative technique for thin-plate spline interpolation in two dimensions, Preprint DAMTP 1998\/NA08."},{"key":"5104221_CR4","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1023\/A:1018916902176","volume":"8","author":"C. Franke","year":"1998","unstructured":"C. Franke and R. Schaback, Convergence order estimates of meshless collocation methods using radial basis functions, Adv. Comput. Math. 8 (1998) 381\u2013399.","journal-title":"Adv. Comput. Math."},{"key":"5104221_CR5","first-page":"73","volume":"93","author":"C. Franke","year":"1998","unstructured":"C. Franke and R. Schaback, Solving partial differential equations by collocation using radial basis functions, Appl. Math. Comput. 93 (1998) 73\u201382.","journal-title":"Appl. Math. Comput."},{"key":"5104221_CR6","first-page":"173","volume":"6","author":"Y.C. Hon","year":"1999","unstructured":"Y.C. Hon, Multiquadric collocation method with adaptive technique for problems with boundary layer, Internat. J. Appl. Sci. Comput. 6 (1999) 173\u2013184.","journal-title":"Internat. J. Appl. Sci. Comput."},{"key":"5104221_CR7","doi-asserted-by":"crossref","first-page":"524","DOI":"10.1061\/(ASCE)0733-9429(1999)125:5(524)","volume":"125","author":"Y.C. Hon","year":"1999","unstructured":"Y.C. Hon, K.F. Cheung, X.Z. Mao and E.J. Kansa, A multiquadric solution for the shallow water equations, ASCE J. Hydraulic Engrg. 125 (1999) 524\u2013533.","journal-title":"ASCE J. Hydraulic Engrg."},{"key":"5104221_CR8","first-page":"37","volume":"95","author":"Y.C. Hon","year":"1998","unstructured":"Y.C. Hon and X.Z. Mao, An efficient numerical scheme for Burgers' equations, Appl. Math. Comput. 95 (1998) 37\u201350.","journal-title":"Appl. Math. Comput."},{"key":"5104221_CR9","doi-asserted-by":"crossref","first-page":"1187","DOI":"10.1002\/(SICI)1097-0207(20000720)48:8<1187::AID-NME942>3.0.CO;2-K","volume":"48","author":"Y.C. Hon","year":"2000","unstructured":"Y.C. Hon and Z. Wu, A quasi-interpolation method for solving stiff ordinary differential equations, Internat. J. Numer. Methods Engrg. 48 (2000) 1187\u20131197.","journal-title":"Internat. J. Numer. Methods Engrg."},{"key":"5104221_CR10","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1016\/0898-1221(90)90271-K","volume":"19","author":"E.J. Kansa","year":"1990","unstructured":"E.J. Kansa, Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics-II. Solutions to hyperbolic, parabolic, and elliptic partial differential equations, Comput. Math. Appl. 19 (1990) 147\u2013161.","journal-title":"Comput. Math. Appl."},{"key":"5104221_CR11","first-page":"319","volume":"1","author":"M.F. Milroy","year":"1994","unstructured":"M.F. Milroy, G.W. Vichers and C. Bradley, An adaptive radial basis function approach to modeling scattered data, J. Appl. Sci. Comput. 1 (1994) 319\u2013349.","journal-title":"J. Appl. Sci. Comput."},{"key":"5104221_CR12","first-page":"255","volume-title":"International Series of Numerical Mathematics","author":"R. Schaback","year":"1999","unstructured":"R. Schaback, Native spaces of radial basis functions I, in: International Series of Numerical Mathematics, Vol. 132 (Birkh\u00e4user, Basel, 1999) pp. 255\u2013282."},{"key":"5104221_CR13","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1023\/A:1019105612985","volume":"24","author":"R. Schaback","year":"2000","unstructured":"R. Schaback and H. Wendland, Adaptive greedy techniques for approximate solution of large RBF systems, Numer. Algorithms 24 (2000) 239\u2013254.","journal-title":"Numer. Algorithms"},{"key":"5104221_CR14","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1023\/A:1018900431309","volume":"8","author":"V.N. Temlyakov","year":"1998","unstructured":"V.N. Temlyakov, The best m-term approximation and greedy algorithms, Adv. Comput. Math. 8 (1998) 249\u2013265.","journal-title":"Adv. Comput. Math."}],"container-title":["Numerical Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1022253303343.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1022253303343\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1022253303343.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:11:18Z","timestamp":1751872278000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1022253303343"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["5104221"],"URL":"https:\/\/doi.org\/10.1023\/a:1022253303343","relation":{},"ISSN":["1017-1398","1572-9265"],"issn-type":[{"value":"1017-1398","type":"print"},{"value":"1572-9265","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,1]]}}}