{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:45:47Z","timestamp":1751874347006},"reference-count":21,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2015,9,1]],"date-time":"2015-09-01T00:00:00Z","timestamp":1441065600000},"content-version":"tdm","delay-in-days":6209,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Numer. Linear Algebra Appl."],"published-print":{"date-parts":[[1998,9]]},"DOI":"10.1002\/(sici)1099-1506(199809\/10)5:5<362::aid-nla138>3.0.co;2-f","type":"journal-article","created":{"date-parts":[[2005,7,8]],"date-time":"2005-07-08T21:31:59Z","timestamp":1120858319000},"page":"363-376","source":"Crossref","is-referenced-by-count":1,"title":["Convergence results for 3D sparse grid approaches"],"prefix":"10.1002","volume":"5","author":[{"given":"J.","family":"Noordmans","sequence":"first","affiliation":[]},{"given":"P. W.","family":"Hemker","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2001]]},"reference":[{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB1","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1137\/S1064827593247035","volume":"17","author":"Balder","year":"1996","journal-title":"SIAM J. Sci. Comput."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB2","first-page":"293","volume-title":"Proceedings of the IMACS International Symposium on Iterative Methods in Linear Algebra","author":"Bungartz","year":"1992","unstructured":"An adaptive Poisson solver using hierarchical bases and sparse grids. In and , editors, Proceedings of the IMACS International Symposium on Iterative Methods in Linear Algebra, pages 293-310. IMACS, Elsevier Science Publishers B.V., North-Holland, 1992."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB3","author":"Bungartz","year":"1992","unstructured":"D\u00fcnne Gitter und Deren Anwendungen bei der adaptiven L\u00f6sung der dreidimensionalen Poisson-Gleichung. Ph.D. thesis, Technische Universit\u00e4t M\u00fcnchen, 1992."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB4","author":"Bungartz","year":"1997","unstructured":"and . Sparse grids: recent developments for elliptic partial differential equations. Technical Report SFB-Bericht No. 342\/02\/97, Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, 1997."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB5","author":"Dornseifer","year":"1997","unstructured":"Diskretisierung allgemeiner elliptischer Differentialgleichungen in krummlinigen Koordinatensystemen auf d\u00fcnnen Gittern. Ph.D. Thesis, Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, 1997."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB6","author":"Griebel","year":"1990","unstructured":"Parallel multigrid methods on sparse grids. Technical Report TUM-I-9053, SFB-Bericht No. 342\/30\/90 A, Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, 1990."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB7","author":"Griebel","year":"1992","unstructured":", and . The combination technique for parallel sparse-grid-preconditioning and -solutions of PDEs on multiprocessor machines and workstation networks. Technical Report TUM-I-9214, SFB-Bericht No.342\/11\/92 A, Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, 1992."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB8","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1007\/BF01385707","volume":"66","author":"Griebel","year":"1994","journal-title":"Numer. Math."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB9","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/s002110050115","volume":"70","author":"Griebel","year":"1995","journal-title":"Numer. Math."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB10","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/BF02123478","volume":"4","author":"Griebel","year":"1995","journal-title":"Adv. Comp. Math."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB11","author":"Griebel","year":"1990","unstructured":"and . A combination technique for the solution of sparse grid problems. Technical Report TUM-I-9038, SFB-Bericht No. 342\/19\/90 A, Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, 1990."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB12","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1007\/BF02123474","volume":"4","author":"Hemker","year":"1995","journal-title":"Adv. Comp. Math."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB13","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/S0168-9274(97)00043-3","volume":"25","author":"Hemker","year":"1997","journal-title":"App. Numer. Math."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB14","first-page":"547","volume-title":"Euler and Navier-Stokes Solvers Using Multi-dimensional Upwind Schemes and Multigrid Acceleration","volume":"57","author":"Koren","year":"1997","unstructured":"and . Semi-coarsening in three directions for Eulerflow computations in three dimensions. In and , editors, Euler and Navier-Stokes Solvers Using Multi-dimensional Upwind Schemes and Multigrid Acceleration, volume 57 of European Community Research in Aeronautics, Notes on Numerical Fluid Mechanics, pages 547-567, Braunschweig, Vieweg, 1997."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB15","doi-asserted-by":"crossref","DOI":"10.1142\/2708","volume-title":"The Splitting Extrapolation Method","author":"Liem","year":"1995","unstructured":"and . The Splitting Extrapolation Method. World Scientific, Singapore, 1995."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB16","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/0021-9991(89)90121-6","volume":"83","author":"Mulder","year":"1989","journal-title":"J. Comp. Phys."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB17","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/0021-9991(92)90312-M","volume":"100","author":"Mulder","year":"1992","journal-title":"J. Comp. Phys."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB18","author":"Niessen","year":"1995","unstructured":"On the stability of sparse grid splitting. Technical Report No. 115, Institut f\u00fcr Geometrie und Praktische Mathematik, RWTH-Aachen, 1995."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB19","author":"Pflaum","year":"1996","unstructured":"A multilevel algorithm for the solution of second order elliptic differential equations on sparse grids. In N. D. Melson, T. A. Manteuffel, S. F. McCormick and C. C. Douglas, editors, Seventh Copper Mountain Conference on Multigrid Methods, volume CP 3339, Hampton, VA, pages 661-672, NASA, 1996."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB20","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1137\/S0036144595282211","volume":"39","author":"Vassilevski","year":"1997","journal-title":"SIAM Rev."},{"key":"10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F-BIB21","author":"Zenger","year":"1990","unstructured":"Sparse grids. Technical report, Institut f\u00fcr Informatik, Technische Universit\u00e4t M\u00fcnchen, 1990."}],"container-title":["Numerical Linear Algebra with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2F(SICI)1099-1506(199809%2F10)5:5%3C362::AID-NLA138%3E3.0.CO;2-F","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/full\/10.1002\/(SICI)1099-1506(199809\/10)5:5%3C362::AID-NLA138%3E3.0.CO;2-F","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,1]],"date-time":"2021-07-01T07:24:11Z","timestamp":1625124251000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/(SICI)1099-1506(199809\/10)5:5<362::AID-NLA138>3.0.CO;2-F"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,9]]},"references-count":21,"journal-issue":{"issue":"5","published-print":{"date-parts":[[1998,9]]}},"URL":"https:\/\/doi.org\/10.1002\/(sici)1099-1506(199809\/10)5:5<362::aid-nla138>3.0.co;2-f","relation":{},"ISSN":["1070-5325","1099-1506"],"issn-type":[{"value":"1070-5325","type":"print"},{"value":"1099-1506","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,9]]}}}