{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,5,6]],"date-time":"2023-05-06T09:40:22Z","timestamp":1683366022418},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1993,3,1]],"date-time":"1993-03-01T00:00:00Z","timestamp":730944000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1993,3]]},"DOI":"10.1007\/bf02280039","type":"journal-article","created":{"date-parts":[[2006,1,25]],"date-time":"2006-01-25T18:37:03Z","timestamp":1138214223000},"page":"51-67","source":"Crossref","is-referenced-by-count":1,"title":["On monotone including nonlinear multigrid methods and applications","\u00dcber monoton einschlie\u00dfende nichtlineare Mehrgitterverfahren und Anwendungen"],"prefix":"10.1007","volume":"50","author":[{"given":"Chr","family":"B\u00e4sler","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"W.","family":"T\u00f6rnig","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02280039_CR1","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1002\/zamm.19830630205","volume":"63","author":"S. Abou El-Seoud","year":"1983","unstructured":"Abou El-Seoud, S., T\u00f6rnig, W.: Solution of large sparce nonlinear systems by monotone convergent iterations and applications. ZAMM63, 103\u2013113 (1983).","journal-title":"ZAMM"},{"key":"BF02280039_CR2","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1090\/S0025-5718-1977-0431719-X","volume":"31","author":"A. Brandt","year":"1977","unstructured":"Brandt, A.: Multi-level adaptive solutions to boundary-value problems. Math. Comp.31, 333\u2013390 (1977).","journal-title":"Math. Comp."},{"key":"BF02280039_CR3","volume-title":"Differentialgleichungen","author":"L. Collatz","year":"1981","unstructured":"Collatz, L.: Differentialgleichungen. Stuttgart: Teubner 1981."},{"key":"BF02280039_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02427-0","volume-title":"Multigrid methods and applications","author":"W. Hackbusch","year":"1985","unstructured":"Hackbusch, W.: Multigrid methods and applications. Heidelberg, Springer 1985."},{"key":"BF02280039_CR5","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1007\/BFb0069375","volume-title":"Overrelaxation in monotonically convergent iteration methods","author":"B. Kaspar","year":"1982","unstructured":"Kaspar, B.: Overrelaxation in monotonically convergent iteration methods, pp. 80\u201387. Berlin: Springer 1982 (Lecture Notes in Mathematics 953)."},{"key":"BF02280039_CR6","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-65619-4","volume-title":"Vorlesungen \u00fcber Minimalfl\u00e4chen","author":"J. C. C. Nitsche","year":"1975","unstructured":"Nitsche, J. C. C.: Vorlesungen \u00fcber Minimalfl\u00e4chen. Heidelberg: Springer 1975."},{"key":"BF02280039_CR7","volume-title":"Iterative solution of nonlinear equations in several variables","author":"J. M. Ortega","year":"1970","unstructured":"Ortega, J. M., Rheinboldt, W. C.: Iterative solution of nonlinear equations in several variables. New York: Acadamic Press 1970."},{"key":"BF02280039_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-92790-4","volume-title":"Einf\u00fchrung in die theoretische Gasdynamik","author":"R. Sauer","year":"1960","unstructured":"Sauer, R.: Einf\u00fchrung in die theoretische Gasdynamik, 3. Aufl. Berlin, G\u00f6ttingen, Heidelberg: Springer 1960.","edition":"3. Aufl."},{"key":"BF02280039_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-95097-1","volume-title":"Mathematische Hilfsmittel des Ingenieurs, Bd. II","author":"R. Sauer","year":"1969","unstructured":"Sauer, R., Szabo, I.: Mathematische Hilfsmittel des Ingenieurs, Bd. II. Berlin: Springer 1969."},{"key":"BF02280039_CR10","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1515\/9783486992793-024","volume":"4","author":"W. T\u00f6rnig","year":"1975","unstructured":"T\u00f6rnig, W.: Monoton konvergente Iterationsverfahren zur L\u00f6sung nichtlinearer Differenzen-Randwertprobleme. Beitr\u00e4ge zur Numerischen mathematik4, 245\u2013257 (1975).","journal-title":"Beitr\u00e4ge zur Numerischen mathematik"},{"key":"BF02280039_CR11","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1002\/mma.1670020411","volume":"2","author":"W. T\u00f6rnig","year":"1980","unstructured":"T\u00f6rnig, W.: Monoton einschlie\u00dfend konvergente Iterationsprozesse vom Gau\u00df-Seidel-Typ zur L\u00f6sung nichtlinearer Gleichungssysteme imIR n und Anwendungen. Math. Meth. Appl. Sci.2, 489\u2013503 (1980).","journal-title":"Math. Meth. Appl. Sci."},{"key":"BF02280039_CR12","first-page":"T578","volume":"71","author":"R. L. Voller","year":"1991","unstructured":"Voller, R. L.: Monoton einschlie\u00dfende Mehrgitterverfahren. ZAMM71, T578 (1991).","journal-title":"ZAMM"},{"key":"BF02280039_CR13","unstructured":"Voller, R. L.: Monotonous enclosure for nonlinear pdes using multigrid-techniques\u2014linear versus nonlinear methods. Preprint 4\/90."},{"key":"BF02280039_CR14","first-page":"325","volume":"5","author":"Zou Jun","year":"1987","unstructured":"Zou Jun: A new fast solver \u2014 Monotone MG Method (MMG). J. Comp. Math.5, 325\u2013335 (1987).","journal-title":"J. Comp. Math."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02280039.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02280039\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02280039","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,6]],"date-time":"2023-05-06T09:15:36Z","timestamp":1683364536000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02280039"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,3]]},"references-count":14,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1993,3]]}},"alternative-id":["BF02280039"],"URL":"https:\/\/doi.org\/10.1007\/bf02280039","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,3]]}}}