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Rigorous error estimate for the discrete solutions is carried out in the measure norm. Numerical experiments are provided to support the theoretical results.<\/jats:p>","DOI":"10.1137\/17m1118245","type":"journal-article","created":{"date-parts":[[2018,11,20]],"date-time":"2018-11-20T12:26:48Z","timestamp":1542716808000},"page":"3249-3275","source":"Crossref","is-referenced-by-count":29,"title":["Time Discretization of a Tempered Fractional Feynman--Kac Equation with Measure Data"],"prefix":"10.1137","volume":"56","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8573-012X","authenticated-orcid":true,"given":"Weihua","family":"Deng","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Buyang","family":"Li","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhi","family":"Qian","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hong","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,11,20]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-0087-7"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.4310\/CMS.2003.v1.n3.a7"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1029\/2001WR001030"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.76.041105"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-06-01788-1"},{"key":"atypb6","first-page":"1","volume":"5","author":"Diethelm K.","year":"1997","journal-title":"Electron. 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