{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,11]],"date-time":"2024-02-11T00:23:06Z","timestamp":1707610986067},"reference-count":11,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2007,2,16]],"date-time":"2007-02-16T00:00:00Z","timestamp":1171584000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2007,3,27]]},"DOI":"10.1007\/s00211-006-0055-9","type":"journal-article","created":{"date-parts":[[2007,2,15]],"date-time":"2007-02-15T10:26:49Z","timestamp":1171535209000},"page":"289-302","source":"Crossref","is-referenced-by-count":0,"title":["The boundary element spline collocation for nonuniform meshes on the torus"],"prefix":"10.1007","volume":"106","author":[{"given":"J.","family":"Saranen","sequence":"first","affiliation":[]},{"given":"J.","family":"Anttila","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,2,16]]},"reference":[{"key":"55_CR1","doi-asserted-by":"crossref","first-page":"3","DOI":"10.3176\/phys.math.2004.1.01","volume":"53","author":"J. Anttila","year":"2004","unstructured":"Anttila J., H\u00e4m\u00e4l\u00e4inen J. and Saranen J. (2004). On the linear spline collocation for pseudodifferential equations on the torus. Proc. Estonian Acad. Sci. Phys. Math. 53: 3","journal-title":"Proc. Estonian Acad. Sci. Phys. Math."},{"key":"55_CR2","unstructured":"Anttila, J., H\u00e4m\u00e4l\u00e4inen, J., Saranen, J.: On the spline collocation for some pseudodifferential equations on the torus with non-uniform meshes. Int. J. Pure Appl. Math. (2006, in press)"},{"key":"55_CR3","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1137\/0721034","volume":"21","author":"D.N. Arnold","year":"1984","unstructured":"Arnold D.N. and Saranen J. (1984). On the asymptotic convergence of spline collocation methods for partial differential equations. SIAM J. Numer. Anal. 21: 459\u2013472","journal-title":"SIAM J. Numer. Anal."},{"key":"55_CR4","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1090\/S0025-5718-1983-0717691-6","volume":"41","author":"D.N. Arnold","year":"1983","unstructured":"Arnold D.N. and Wendland W.L. (1983). On the asymptotic convergence of collocation methods. Math. Comp. 41: 349\u2013381","journal-title":"Math. Comp."},{"key":"55_CR5","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1090\/S0025-5718-1981-0628694-2","volume":"37","author":"A.K. Aziz","year":"1981","unstructured":"Aziz A.K. and Bruce Kellogg R. (1981). Finite element analysis of a scattering problem. Math. Comp. 37: 261\u2013272","journal-title":"Math. Comp."},{"key":"55_CR6","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1007\/BF01396241","volume":"62","author":"M. Costabel","year":"1992","unstructured":"Costabel M. and McLean W. (1992). Spline collocation for strongly elliptic equations on the torus. Numer. Math. 62: 511\u2013538","journal-title":"Numer. Math."},{"key":"55_CR7","doi-asserted-by":"crossref","unstructured":"Costabel, M., Penzel, F., Schneider,R.: Error analysis of boundary element collocation method for a screen problem in $$\\mathbb{R}^3$$ , Math. Comput. 58: 575\u2013586 (1992)","DOI":"10.2307\/2153203"},{"key":"55_CR8","doi-asserted-by":"crossref","unstructured":"Hsiao, G., Pr\u00f6ssdorf, S.: A generalization of the Arnold-Wendland Lemma to a modified collocation for boundary integral equations on $$\\mathbb{R}^3$$ , Math. Nach. 163, 133\u2013144 (1993)","DOI":"10.1002\/mana.19931630113"},{"key":"55_CR9","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1007\/BF01218505","volume":"14","author":"S. Pr\u00f6ssdorf","year":"1991","unstructured":"Pr\u00f6ssdorf S. and Schneider R. (1991). A spline collocation method for multidimensional strongly elliptic pseudodifferential operators of order zero. Integral Equ. Oper. Theory 14: 399\u2013435","journal-title":"Integral Equ. Oper. Theory"},{"key":"55_CR10","doi-asserted-by":"crossref","first-page":"626","DOI":"10.1007\/BF01195782","volume":"15","author":"S. Pr\u00f6ssdorf","year":"1992","unstructured":"Pr\u00f6ssdorf S. and Schneider R. (1992). Spline approximation methods for multidimensional periodic pseudodifferential equations. Integral Equ. Oper. Theory 15: 626\u2013672","journal-title":"Integral Equ. Oper. Theory"},{"key":"55_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-04796-5","volume-title":"Periodic Integral and Pseudodifferential Equations with Numerical Approximation","author":"J. Saranen","year":"2002","unstructured":"Saranen J. and Vainikko G. (2002). Periodic Integral and Pseudodifferential Equations with Numerical Approximation. Springer, Berlin Heidelberg NewYork"}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-006-0055-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-006-0055-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-006-0055-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,10]],"date-time":"2024-02-10T23:46:48Z","timestamp":1707608808000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-006-0055-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,2,16]]},"references-count":11,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2007,3,27]]}},"alternative-id":["55"],"URL":"https:\/\/doi.org\/10.1007\/s00211-006-0055-9","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,2,16]]}}}