乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:54:30Z","timestamp":1740142470288,"version":"3.37.3"},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,5,25]],"date-time":"2019-05-25T00:00:00Z","timestamp":1558742400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,5,25]],"date-time":"2019-05-25T00:00:00Z","timestamp":1558742400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11771163"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2019,9]]},"DOI":"10.1007\/s40314-019-0890-9","type":"journal-article","created":{"date-parts":[[2019,5,25]],"date-time":"2019-05-25T06:32:01Z","timestamp":1558765921000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels"],"prefix":"10.1007","volume":"38","author":[{"given":"Min","family":"Li","sequence":"first","affiliation":[]},{"given":"Chengming","family":"Huang","sequence":"additional","affiliation":[]},{"given":"Wanyuan","family":"Ming","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,5,25]]},"reference":[{"issue":"3","key":"890_CR1","doi-asserted-by":"publisher","first-page":"1757","DOI":"10.1007\/s10915-017-0608-3","volume":"75","author":"A Abdi","year":"2018","unstructured":"Abdi A, Berrut JP, Hosseini SA (2018) The linear barycentric rational method for a class of delay Volterra integro-differential equations. J Sci Comput 75(3):1757\u20131775","journal-title":"J Sci Comput"},{"issue":"1","key":"890_CR2","doi-asserted-by":"publisher","first-page":"A105","DOI":"10.1137\/120904020","volume":"36","author":"JP Berrut","year":"2014","unstructured":"Berrut JP, Hosseini SA, Klein G (2014) The linear barycentric rational quadrature method for Volterra integral equations. SIAM J Sci Comput 36(1):A105\u2013A123","journal-title":"SIAM J Sci Comput"},{"issue":"6","key":"890_CR3","doi-asserted-by":"publisher","first-page":"1106","DOI":"10.1137\/0720080","volume":"20","author":"H Brunner","year":"1983","unstructured":"Brunner H (1983) Nonpolynomial spline collocation for Volterra equations with weakly singular kernels. SIAM J Numer Anal 20(6):1106\u20131119","journal-title":"SIAM J Numer Anal"},{"issue":"172","key":"890_CR4","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1090\/S0025-5718-1985-0804933-3","volume":"45","author":"H Brunner","year":"1985","unstructured":"Brunner H (1985) The numerical solution of weakly singular Volterra integral equations by collocation on graded meshes. Math. Comput. 45(172):417\u2013437","journal-title":"Math. Comput."},{"key":"890_CR5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511543234","volume-title":"Collocation methods for Volterra integral and related functional differential equations","author":"H Brunner","year":"2004","unstructured":"Brunner H (2004) Collocation methods for Volterra integral and related functional differential equations, vol 15. Cambridge University Press, Cambridge"},{"key":"890_CR6","volume-title":"The numerical solution of Volterra equations","author":"H Brunner","year":"1986","unstructured":"Brunner H, van der Houwen PJ (1986) The numerical solution of Volterra equations, vol 3. Elsevier Science Ltd, Amsterdam"},{"issue":"1","key":"890_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0377-0427(84)90027-X","volume":"11","author":"R Cameron","year":"1984","unstructured":"Cameron R, McKee S (1984) Product integration methods for second-kind Abel integral equations. J Comput Appl Math 11(1):1\u201310","journal-title":"J Comput Appl Math"},{"issue":"1","key":"890_CR8","doi-asserted-by":"publisher","first-page":"364","DOI":"10.1137\/S0036142901385593","volume":"41","author":"Y Cao","year":"2003","unstructured":"Cao Y, Herdman T, Xu Y (2003) A hybrid collocation method for Volterra integral equations with weakly singular kernels. SIAM J Numer Anal 41(1):364\u2013381","journal-title":"SIAM J Numer Anal"},{"issue":"269","key":"890_CR9","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1090\/S0025-5718-09-02269-8","volume":"79","author":"Y Chen","year":"2010","unstructured":"Chen Y, Tang T (2010) Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Math Comput 79(269):147\u2013167","journal-title":"Math Comput"},{"issue":"6","key":"890_CR10","doi-asserted-by":"publisher","first-page":"1166","DOI":"10.1137\/0711088","volume":"11","author":"F de Hoog","year":"1974","unstructured":"de Hoog F, Weiss R (1974) High order methods for a class of Volterra integral equations with weakly singular kernels. SIAM J Numer Anal 11(6):1166\u20131180","journal-title":"SIAM J Numer Anal"},{"issue":"2","key":"890_CR11","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1017\/S0308210500028432","volume":"124","author":"T Diogo","year":"1994","unstructured":"Diogo T, McKee S, Tang T (1994) Collocation methods for second-kind Volterra integral equations with weakly singular kernels. Proc R Soc Edinb Sect A 124(2):199\u2013210","journal-title":"Proc R Soc Edinb Sect A"},{"key":"890_CR12","volume-title":"Some Gronwall type inequalities and applications","author":"SS Dragomir","year":"2003","unstructured":"Dragomir SS (2003) Some Gronwall type inequalities and applications. Nova Science Publishers Inc, Hauppauge"},{"issue":"2","key":"890_CR13","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/s00211-007-0093-y","volume":"107","author":"MS Floater","year":"2007","unstructured":"Floater MS, Hormann K (2007) Barycentric rational interpolation with no poles and high rates of approximation. Numer Math 107(2):315\u2013331","journal-title":"Numer Math"},{"key":"890_CR14","doi-asserted-by":"publisher","first-page":"112","DOI":"10.1016\/j.apnum.2016.03.001","volume":"105","author":"Z Gu","year":"2016","unstructured":"Gu Z, Guo X, Sun D (2016) Series expansion method for weakly singular Volterra integral equations. Appl Numer Math 105:112\u2013123","journal-title":"Appl Numer Math"},{"issue":"4","key":"890_CR15","doi-asserted-by":"publisher","first-page":"1755","DOI":"10.1093\/imanum\/drr038","volume":"32","author":"Q Guan","year":"2012","unstructured":"Guan Q, Zhang R, Zou Y (2012) Analysis of collocation solutions for nonstandard Volterra integral equations. IMA J Numer Anal 32(4):1755\u20131785","journal-title":"IMA J Numer Anal"},{"issue":"5","key":"890_CR16","doi-asserted-by":"publisher","first-page":"1698","DOI":"10.1137\/S0036142994266832","volume":"34","author":"Q Hu","year":"1997","unstructured":"Hu Q (1997) Superconvergence of numerical solutions to Volterra integral equations with singularities. SIAM J Numer Anal 34(5):1698\u20131707","journal-title":"SIAM J Numer Anal"},{"issue":"1","key":"890_CR17","doi-asserted-by":"publisher","first-page":"549","DOI":"10.1007\/s10915-018-0779-6","volume":"78","author":"M Li","year":"2019","unstructured":"Li M, Huang C (2019) The linear barycentric rational quadrature method for auto-convolution Volterra integral equations. J Sci Comput 78(1):549\u2013564","journal-title":"J Sci Comput"},{"issue":"1","key":"890_CR18","doi-asserted-by":"publisher","first-page":"390","DOI":"10.1007\/s10915-017-0622-5","volume":"76","author":"H Liang","year":"2018","unstructured":"Liang H, Stynes M (2018) Collocation methods for general Caputo two-point boundary value problems. J Sci Comput 76(1):390\u2013425","journal-title":"J Sci Comput"},{"issue":"3","key":"890_CR19","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1137\/0706034","volume":"6","author":"P Linz","year":"1969","unstructured":"Linz P (1969) Numerial methods for Volterra integral equations with singular kernels. SIAM J Numer Anal 6(3):365\u2013374","journal-title":"SIAM J Numer Anal"},{"key":"890_CR20","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/j.cam.2017.06.004","volume":"327","author":"H Liu","year":"2018","unstructured":"Liu H, Huang J, Pan Y, Zhang J (2018) Barycentric interpolation collocation methods for solving linear and nonlinear high-dimensional Fredholm integral equations. J Comput Appl Math 327:141\u2013154","journal-title":"J Comput Appl Math"},{"issue":"163","key":"890_CR21","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1090\/S0025-5718-1983-0701626-6","volume":"41","author":"C Lubich","year":"1983","unstructured":"Lubich C (1983) Runge\u2013Kutta theory for Volterra and Abel integral equations of the second kind. Math Comput 41(163):87\u2013102","journal-title":"Math Comput"},{"key":"890_CR22","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1016\/j.aml.2016.12.011","volume":"68","author":"WH Luo","year":"2017","unstructured":"Luo WH, Huang TZ, Gu XM, Liu Y (2017) Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations. Appl Math Lett 68:13\u201319","journal-title":"Appl Math Lett"},{"issue":"12","key":"890_CR23","first-page":"6750","volume":"219","author":"X Ma","year":"2013","unstructured":"Ma X, Huang C (2013) Numerical solution of fractional integro-differential equations by a hybrid collocation method. Appl Math Comput 219(12):6750\u20136760","journal-title":"Appl Math Comput"},{"issue":"224","key":"890_CR24","doi-asserted-by":"publisher","first-page":"1493","DOI":"10.1090\/S0025-5718-98-01005-9","volume":"67","author":"G Monegato","year":"1998","unstructured":"Monegato G, Scuderi L (1998) High order methods for weakly singular integral equations with nonsmooth input functions. Math Comput 67(224):1493\u20131515","journal-title":"Math Comput"},{"issue":"3","key":"890_CR25","doi-asserted-by":"publisher","first-page":"271","DOI":"10.1007\/s00607-004-0088-9","volume":"73","author":"A Pedas","year":"2004","unstructured":"Pedas A, Vainikko G (2004) Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations. Computing 73(3):271\u2013293","journal-title":"Computing"},{"issue":"4","key":"890_CR26","doi-asserted-by":"publisher","first-page":"437","DOI":"10.1093\/imanum\/2.4.437","volume":"2","author":"HJT te Riele","year":"1982","unstructured":"te Riele HJT (1982) Collocation methods for weakly singular second-kind Volterra integral equations with non-smooth solution. IMA J Numer Anal 2(4):437\u2013449","journal-title":"IMA J Numer Anal"},{"issue":"2","key":"890_CR27","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1016\/j.cam.2006.11.021","volume":"211","author":"LF Shampine","year":"2008","unstructured":"Shampine LF (2008) Vectorized adaptive quadrature in matlab. J Comput Appl Math 211(2):131\u2013140","journal-title":"J Comput Appl Math"},{"issue":"22","key":"890_CR28","first-page":"10848","volume":"218","author":"K Zhang","year":"2012","unstructured":"Zhang K, Li J, Song H (2012) Collocation methods for nonlinear convolution Volterra integral equations with multiple proportional delays. Appl Math Comput 218(22):10848\u201310860","journal-title":"Appl Math Comput"},{"issue":"2","key":"890_CR29","doi-asserted-by":"publisher","first-page":"899","DOI":"10.1137\/15M1019362","volume":"54","author":"R Zhang","year":"2016","unstructured":"Zhang R, Liang H, Brunner H (2016) Analysis of collocation methods for generalized auto-convolution Volterra integral equations. SIAM J Numer Anal 54(2):899\u2013920","journal-title":"SIAM J Numer Anal"},{"issue":"2","key":"890_CR30","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1007\/s11464-013-0282-1","volume":"8","author":"R Zhang","year":"2013","unstructured":"Zhang R, Zhu B, Xie H (2013) Spectral methods for weakly singular Volterra integral equations with pantograph delays. Front Math China 8(2):281\u2013299","journal-title":"Front Math China"},{"issue":"1","key":"890_CR31","doi-asserted-by":"publisher","first-page":"67","DOI":"10.4208\/eajam.030118.070518","volume":"9","author":"J Zhao","year":"2019","unstructured":"Zhao J, Long T, Xu Y (2019) Multistep collocation methods for Volterra integral equations with weakly singular kernels. East Asian J Appl Math 9(1):67\u201386","journal-title":"East Asian J Appl Math"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-019-0890-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40314-019-0890-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-019-0890-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,23]],"date-time":"2020-05-23T23:26:58Z","timestamp":1590276418000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40314-019-0890-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,5,25]]},"references-count":31,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,9]]}},"alternative-id":["890"],"URL":"https:\/\/doi.org\/10.1007\/s40314-019-0890-9","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"type":"print","value":"2238-3603"},{"type":"electronic","value":"1807-0302"}],"subject":[],"published":{"date-parts":[[2019,5,25]]},"assertion":[{"value":"17 February 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 April 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 May 2019","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 May 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"120"}}