{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T21:09:06Z","timestamp":1648933746045},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1995,12,1]],"date-time":"1995-12-01T00:00:00Z","timestamp":817776000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Reliable Comput"],"published-print":{"date-parts":[[1995,12]]},"DOI":"10.1007\/bf02391683","type":"journal-article","created":{"date-parts":[[2006,5,11]],"date-time":"2006-05-11T16:28:32Z","timestamp":1147364912000},"page":"383-391","source":"Crossref","is-referenced-by-count":0,"title":["Numerical methods using defects"],"prefix":"10.1007","volume":"1","author":[{"given":"Boris S.","family":"Dobronets","sequence":"first","affiliation":[]}],"member":"297","reference":[{"issue":"8","key":"BF02391683_CR1","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1002\/zamm.19830630805","volume":"63","author":"K. B\u00f6her","year":"1983","unstructured":"B\u00f6her, K. and McCormik, S.Discrete defect corrections: Basic ideas. ZAMMB.63 (8) (1983), pp. 371\u2013378.","journal-title":"ZAMM"},{"key":"BF02391683_CR2","doi-asserted-by":"crossref","unstructured":"Collatz, L.,Funktionalanalysis und Numerische Mathematik, Springer-Verlag, 1964.","DOI":"10.1007\/978-3-642-53372-3"},{"key":"BF02391683_CR3","first-page":"96","volume":"1","author":"L. Collatz","year":"1979","unstructured":"Collatz, L.The error analysis of solutions of boundary value partial differential equations problems. Bulletin of the Leningrad State University1 (1979), pp. 96\u2013103 (in Russian).","journal-title":"Bulletin of the Leningrad State University"},{"key":"BF02391683_CR4","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1007\/BF02165273","volume":"13","author":"P. G. Ciarlet","year":"1969","unstructured":"Ciarlet, P. G., Schultz, M. N., and Varga, R. S.Numerical methods of high-order accuracy for nonlinear boundary value problems. V. Monotone operator theory. Numer. Math.13 (1969), pp. 51\u201377.","journal-title":"Numer. Math."},{"key":"BF02391683_CR5","first-page":"80","volume-title":"Correction numerical solutions by finite elements high degree. Mathematical models and solutions problem of continuous medium mechanics methods","author":"B. S. Dobronets","year":"1986","unstructured":"Dobronets, B. S.Correction numerical solutions by finite elements high degree. Mathematical models and solutions problem of continuous medium mechanics methods. Computer Center, Siberian Department of USSR Academy of Sciences, Krasnoyarsk, 1986, pp. 80\u201388 (in Russian)."},{"key":"BF02391683_CR6","volume-title":"Construction of difference scheme via cell analytic solutions methods","author":"B. S. Dobronets","year":"1985","unstructured":"Dobronets, B. S.Construction of difference scheme via cell analytic solutions methods. Computing Center, Krasnoyarsk, 1985, deposited in VINITI, 5239-85 (in Russian)."},{"key":"BF02391683_CR7","first-page":"208","volume-title":"Two-sided numerical methods","author":"B. S. Dobronets","year":"1990","unstructured":"Dobronets, B. S. and Shaidurov, V. V.Two-sided numerical methods. Nauka (Siberian Department), Novosibirsk, 1990, p. 208 (in Russian)."},{"key":"BF02391683_CR8","volume-title":"Uniform numerical methods for problems with initial and boundary lauers","author":"E. P. Doolan","year":"1980","unstructured":"Doolan, E. P., Miller, J. J. H., and Schilders, W. H. A.Uniform numerical methods for problems with initial and boundary lauers. Boole Press, Dublin, 1980."},{"issue":"4","key":"BF02391683_CR9","doi-asserted-by":"crossref","first-page":"486","DOI":"10.1007\/BF01933642","volume":"20","author":"B. Lindberg","year":"1980","unstructured":"Lindberg, B.Error estimation and iterative improvement for discretization algorithms. Bit (Dan)20 (4) (1980), pp. 486\u2013500.","journal-title":"Bit (Dan)"},{"key":"BF02391683_CR10","volume-title":"Varitional-difference method for solving elliptic equations","author":"L. A. Oganesjan","year":"1979","unstructured":"Oganesjan, L. A. and Rukhovetz, L. A.Varitional-difference method for solving elliptic equations. Acad. Nauk ASSR, Verevan, 1979 (in Russian)."},{"key":"BF02391683_CR11","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1007\/BF02162030","volume":"10","author":"V. Pereyra","year":"1967","unstructured":"Pereyra, V.Iterated defect corrections for nonlinear operator equation. Numer. Math.10 (1967), pp. 316\u2013323.","journal-title":"Numer. Math."},{"key":"BF02391683_CR12","volume-title":"The theory of difference schemes","author":"A. A. Samarskii","year":"1977","unstructured":"Samarskii, A. A.The theory of difference schemes. Nauka, Moscow, 1977 (in Russian)."},{"key":"BF02391683_CR13","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1007\/BF01432879","volume":"29","author":"H. J. Stetter","year":"1978","unstructured":"Stetter, H. J.The defect correction principle and discretization methods. Numer. Math.29 (1978), pp. 425\u2013443.","journal-title":"Numer. Math."},{"key":"BF02391683_CR14","volume-title":"An analysis of the finite element method","author":"G. Streng","year":"1973","unstructured":"Streng, G. and Fix, G. J.An analysis of the finite element method. Prentice-Hall, Englewood Cliffs, 1973."},{"key":"BF02391683_CR15","unstructured":"Volkov, E. A.A posteriori error estimate difference equations of the Laplace and Poisson. In: \u201cProc. Stekl. Inst. Math.134\u201d, 1975, pp. 47\u201362 (in Russian)."}],"container-title":["Reliable Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02391683.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02391683\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02391683","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,17]],"date-time":"2019-05-17T12:14:58Z","timestamp":1558095298000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02391683"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,12]]},"references-count":15,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1995,12]]}},"alternative-id":["BF02391683"],"URL":"https:\/\/doi.org\/10.1007\/bf02391683","relation":{},"ISSN":["1385-3139","1573-1340"],"issn-type":[{"value":"1385-3139","type":"print"},{"value":"1573-1340","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,12]]}}}