{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,11,22]],"date-time":"2023-11-22T15:23:26Z","timestamp":1700666606759},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,12,20]],"date-time":"2011-12-20T00:00:00Z","timestamp":1324339200000},"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":[[2012,7]]},"DOI":"10.1007\/s00211-011-0436-6","type":"journal-article","created":{"date-parts":[[2011,12,19]],"date-time":"2011-12-19T05:22:59Z","timestamp":1324272179000},"page":"433-460","source":"Crossref","is-referenced-by-count":9,"title":["Fast evaluation of singular BEM integrals based on tensor approximations"],"prefix":"10.1007","volume":"121","author":[{"given":"Jonas","family":"Ballani","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,12,20]]},"reference":[{"key":"436_CR1","unstructured":"Ballani, J., Grasedyck, L., Kluge, M.: Black box approximation of tensors in hierarchical Tucker format. Preprint 57\/2010, Max Planck Institute of Mathematics in the Sciences (2010)"},{"issue":"3","key":"436_CR2","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1007\/s004660050172","volume":"19","author":"M. Bonnet","year":"1997","unstructured":"Bonnet M.: Differentiability of strongly singular and hypersingular boundary integral formulations with respect to boundary perturbations. Comput. Mech. 19(3), 240\u2013246 (1997)","journal-title":"Comput. Mech."},{"key":"436_CR3","unstructured":"B\u00f6rm, S., Grasedyck, L., Hackbusch, W.: Hierarchical Matrices. Lecture Note 21 of the Max Planck Institute for Mathematics in the Sciences (2003)"},{"key":"436_CR4","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/S0045-7825(97)00236-3","volume":"157","author":"S. Erichsen","year":"1998","unstructured":"Erichsen S., Sauter S.A.: Efficient automatic quadrature in 3-d Galerkin BEM. Comput. Methods Appl. Mech. Eng. 157, 215\u2013224 (1998)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"436_CR5","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1007\/s00365-009-9076-9","volume":"30","author":"M. Espig","year":"2009","unstructured":"Espig M., Grasedyck L., Hackbusch W.: Black box low tensor rank approximation using fibre-crosses. Constr. Approx. 30, 557\u2013597 (2009)","journal-title":"Constr. Approx."},{"key":"436_CR6","doi-asserted-by":"crossref","first-page":"2029","DOI":"10.1137\/090764189","volume":"31","author":"L. Grasedyck","year":"2010","unstructured":"Grasedyck L.: Hierarchical singular value decomposition of tensors. SIAM J. Matrix Anal. Appl. 31, 2029\u20132054 (2010)","journal-title":"SIAM J. Matrix Anal. Appl."},{"issue":"5","key":"436_CR7","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1007\/s00041-009-9094-9","volume":"15","author":"W. Hackbusch","year":"2009","unstructured":"Hackbusch W., K\u00fchn S.: A new scheme for the tensor representation. J. Fourier Anal. Appl. 15(5), 706\u2013722 (2009)","journal-title":"J. Fourier Anal. Appl."},{"issue":"3","key":"436_CR8","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1137\/07070111X","volume":"51","author":"T.G. Kolda","year":"2009","unstructured":"Kolda T.G., Bader B.W.: Tensor decompositions and applications. SIAM Rev. 51(3), 455\u2013500 (2009)","journal-title":"SIAM Rev."},{"key":"436_CR9","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1002\/zamm.19960760506","volume":"76","author":"C. Lage","year":"1996","unstructured":"Lage C., Sauter S.A.: On the efficient computation of singular and nearly singular integrals arising in 3D Galerkin BEM. ZAMM 76, 273\u2013275 (1996)","journal-title":"ZAMM"},{"issue":"5","key":"436_CR10","doi-asserted-by":"crossref","first-page":"3744","DOI":"10.1137\/090748330","volume":"31","author":"I.V. Oseledets","year":"2009","unstructured":"Oseledets I.V., Tyrtyshnikov E.E.: Breaking the curse of dimensionality, or how to use svd in many dimensions. SIAM J. Sci. Comput. 31(5), 3744\u20133759 (2009)","journal-title":"SIAM J. Sci. Comput."},{"key":"436_CR11","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.laa.2009.07.024","volume":"432","author":"I.V. Oseledets","year":"2010","unstructured":"Oseledets I.V., Tyrtyshnikov E.E.: TT-cross approximation for multidimensional arrays. Linear Algebra Appl. 432, 70\u201388 (2010)","journal-title":"Linear Algebra Appl."},{"key":"436_CR12","volume-title":"The Fast Solution of Boundary Integral Equations. Mathematical and Analytical Techniques with Applications to Engineering","author":"S. Rjasanow","year":"2007","unstructured":"Rjasanow S., Steinbach O.: The Fast Solution of Boundary Integral Equations. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Berlin (2007)"},{"key":"436_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-322-80037-4","volume-title":"Randelementmethoden","author":"S.A. Sauter","year":"2004","unstructured":"Sauter S.A., Schwab C.: Randelementmethoden. Teubner, Stuttgart (2004)"},{"key":"436_CR14","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1002\/mana.19921560113","volume":"156","author":"C. Schwab","year":"1992","unstructured":"Schwab C., Wendland W.L.: Kernel properties and representations of boundary integral operators. Math. Nachr. 156, 187\u2013218 (1992)","journal-title":"Math. Nachr."},{"key":"436_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-09024-4","volume-title":"Einf\u00fchrung in die Numerische Mathematik I","author":"J. Stoer","year":"1989","unstructured":"Stoer J.: Einf\u00fchrung in die Numerische Mathematik I 5th edn. Springer, Berlin (1989)","edition":"5"}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-011-0436-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00211-011-0436-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-011-0436-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,21]],"date-time":"2019-06-21T02:05:13Z","timestamp":1561082713000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00211-011-0436-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,12,20]]},"references-count":15,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,7]]}},"alternative-id":["436"],"URL":"https:\/\/doi.org\/10.1007\/s00211-011-0436-6","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,12,20]]}}}