{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T07:15:35Z","timestamp":1776755735939,"version":"3.51.2"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1979,12,1]],"date-time":"1979-12-01T00:00:00Z","timestamp":312854400000},"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":[[1979,12]]},"DOI":"10.1007\/bf02248734","type":"journal-article","created":{"date-parts":[[2005,11,15]],"date-time":"2005-11-15T04:24:19Z","timestamp":1132028659000},"page":"343-358","source":"Crossref","is-referenced-by-count":7,"title":["Best convergence rates of linear multistep methods for Volterra first kind equations","Beste Konvergenzordnungen von linearen Multischrittverfahren f\u00fcr Volterra-Gleichung der ersten Art"],"prefix":"10.1007","volume":"21","author":[{"given":"S.","family":"McKee","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"BF02248734_CR1","unstructured":"Andrade, C.: M\u00e9todos lineares de passo m\u00faltiplo est\u00e1veis e de alta precis\u00e3o aplicados a: \u2014equa\u00e7\u00f5es diferenciais ordin\u00e1rias, equa\u00e7\u00f5es integrais, equa\u00e7\u00f5es diferenciais parciais. Ph. D. Thesis, University of Sa\u00f5 Paulo, 1977."},{"key":"BF02248734_CR2","unstructured":"Andrade, Celia, McKee, S.: On optimal high accuracy linear multistep methods for first kind Volterra integral equations. BIT (to appear)."},{"key":"BF02248734_CR3","volume-title":"Nonlinear Integral Equations","year":"1964","unstructured":"Anselone, P. (ed.): Nonlinear Integral Equations. Madison: University of Wisconsin Press 1964."},{"key":"BF02248734_CR4","doi-asserted-by":"crossref","unstructured":"Apostol, T. M.: Mathematical Analysis. Addison-Wesley 1958.","DOI":"10.1063\/1.3062655"},{"key":"BF02248734_CR5","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1137\/0708018","volume":"8","author":"J. Donelson","year":"1971","unstructured":"Donelson, J., Hansen, E.: Cyclic composite multistep predictor-corrector methods. SINUM8, 137\u2013157 (1971).","journal-title":"SINUM"},{"key":"BF02248734_CR6","unstructured":"Gladwin, C. J.: Methods of high order for the numerical solution of first kind Volterra integral equations, in: Proc. Second Manitoba Conf. Numer. Math., Univ. of Manitoba, Winnipeg, 1972, pp. 179\u2013193."},{"key":"BF02248734_CR7","unstructured":"Gladwin, C. J.: Some remarks on the numerical solution of first kind Volterra integral equations, in: Proc. Third Manitoba Conf. Numer. Math., Univ. of Manitoba, Winnipeg, 1973, pp. 223\u2013237."},{"key":"BF02248734_CR8","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1137\/0712052","volume":"12","author":"P. A. W. Holyhead","year":"1975","unstructured":"Holyhead, P. A. W., McKee, S., Taylor, P. J.: Multistep methods for solving linear Volterra integral equations of the first kind. SINUM12, 698\u2013711 (1975).","journal-title":"SINUM"},{"key":"BF02248734_CR9","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1137\/0713026","volume":"13","author":"P. A. W. Holyhead","year":"1976","unstructured":"Holyhead, P. A. W., McKee, S.: Stability and convergence of multistep methods for linear Volterra integral equations of the first kind. SINUM13, 269\u2013292 (1976).","journal-title":"SINUM"},{"key":"BF02248734_CR10","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1093\/comjnl\/12.4.393","volume":"12","author":"P. Linz","year":"1969","unstructured":"Linz, P.: Numerical methods for Volterra integral equations of the first kind. Comput. J.12, 393\u2013397 (1969).","journal-title":"Comput. J."},{"key":"BF02248734_CR11","unstructured":"McKee, S.: The linear algebra of discretisation methods (submitted for publication)."},{"key":"BF02248734_CR12","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-65471-8","volume-title":"Analysis of Discretisation Methods for Ordinary Differential Equations","author":"H. J. Stetter","year":"1973","unstructured":"Stetter, H. J.: Analysis of Discretisation Methods for Ordinary Differential Equations. Berlin-Heidelberg-New York: Springer 1973."},{"key":"BF02248734_CR13","unstructured":"Yosida, K.: Lectures on Differential and Integral Equations. Wiley Interscience 1960."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02248734.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02248734\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02248734","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T22:22:02Z","timestamp":1586557322000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02248734"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1979,12]]},"references-count":13,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1979,12]]}},"alternative-id":["BF02248734"],"URL":"https:\/\/doi.org\/10.1007\/bf02248734","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1979,12]]}}}