doi:10.1016/j.cam.2019.112638engGracia, J.L.O''Riordan, E.Singularly perturbed reaction–diffusion problems with discontinuities in the initial and/or the boundary dataART-2020-115702Numerical approximations to the solutions of three different problem classes of singularly perturbed parabolic reaction–diffusion problems, each with a discontinuity in the boundary-initial data, are generated. For each problem class, an analytical function associated with the discontinuity in the data, is identified. Parameter-uniform numerical approximations to the difference between the analytical function and the solution of the singularly perturbed problem are generated using piecewise-uniform Shishkin meshes. Numerical results are given to illustrate all the theoretical error bounds established in the paper.2020http://zaguan.unizar.es/record/13076910.1016/j.cam.2019.112638http://zaguan.unizar.es/record/130769oai:zaguan.unizar.es:130769info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17Rinfo:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-RJournal of Computational and Applied Mathematics 370 (2020), 112638 [28 pp.]by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess