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O’Riordan, E., Shishkin, G.I. (2007) A technique to prove parameter-uniform convergence for a singularly perturbed convection–diffusion equation. Journal of Computational and Applied Mathematics, 206 (1). 136-145 doi:10.1016/j.cam.2006.06.002

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Reference TypeJournal (article/letter/editorial)
TitleA technique to prove parameter-uniform convergence for a singularly perturbed convection–diffusion equation
JournalJournal of Computational and Applied Mathematics
AuthorsO’Riordan, E.Author
Shishkin, G.I.Author
Year2007 (September)Volume206
Issue1
PublisherElsevier BV
DOIdoi:10.1016/j.cam.2006.06.002Search in ResearchGate
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Mindat Ref. ID9495025Long-form Identifiermindat:1:5:9495025:8
GUID0
Full ReferenceO’Riordan, E., Shishkin, G.I. (2007) A technique to prove parameter-uniform convergence for a singularly perturbed convection–diffusion equation. Journal of Computational and Applied Mathematics, 206 (1). 136-145 doi:10.1016/j.cam.2006.06.002
Plain TextO’Riordan, E., Shishkin, G.I. (2007) A technique to prove parameter-uniform convergence for a singularly perturbed convection–diffusion equation. Journal of Computational and Applied Mathematics, 206 (1). 136-145 doi:10.1016/j.cam.2006.06.002
In(2007, September) Journal of Computational and Applied Mathematics Vol. 206 (1) Elsevier BV

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Shishkin, G.I. (2004) Discrete approximations of solutions and derivatives for a singularly perturbed parabolic convection–diffusion equation. Journal of Computational and Applied Mathematics, 166 (1). 247-266 doi:10.1016/j.cam.2003.09.023
O Reilly, M.J., O’Riordan, E. (2005) A Shishkin mesh for a singularly perturbed Riccati equation. Journal of Computational and Applied Mathematics, 182 (2). 372-387 doi:10.1016/j.cam.2004.12.018
Gracia, J.L., O’Riordan, E. (2017) A singularly perturbed convection–diffusion problem with a moving pulse. Journal of Computational and Applied Mathematics, 321. 371-388 doi:10.1016/j.cam.2017.03.003
Ansari, A.R., Bakr, S.A., Shishkin, G.I. (2007) A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations. Journal of Computational and Applied Mathematics, 205 (1). 552-566 doi:10.1016/j.cam.2006.05.032
Farrell, P.A., Hegarty, A.F., Miller, J.J.H., O'Riordan, E., Shishkin, G.I. (2004) Singularly perturbed convection–diffusion problems with boundary and weak interior layers. Journal of Computational and Applied Mathematics, 166 (1). 133-151 doi:10.1016/j.cam.2003.09.033
Kumar, Sunil, Sumit, , Vigo-Aguiar, Jesus (2022) A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection–diffusion problems. Journal of Computational and Applied Mathematics, 404. 113273pp. doi:10.1016/j.cam.2020.113273
Matthews, S., O'Riordan, E., Shishkin, G.I. (2002) A numerical method for a system of singularly perturbed reaction–diffusion equations. Journal of Computational and Applied Mathematics, 145 (1). 151-166 doi:10.1016/s0377-0427(01)00541-6
Hegarty, A.F., O’Riordan, E. (2019) A parameter-uniform numerical method for a singularly perturbed convection–diffusion problem posed on an annulus. Computers & Mathematics with Applications, 78. 3329-3344 doi:10.1016/j.camwa.2019.05.006
O'Riordan, E., Shishkin, G.I. (2004) Singularly perturbed parabolic problems with non-smooth data. Journal of Computational and Applied Mathematics, 166 (1). 233-245 doi:10.1016/j.cam.2003.09.025
Maz’ya, V., Movchan, A. (2007) Uniform asymptotic formulae for Green's functions in singularly perturbed domains. Journal of Computational and Applied Mathematics, 208 (1). 194-206 doi:10.1016/j.cam.2006.10.038
Farrell, P.A., Hegarty, A.F., Miller, J.J.H., O'Riordan, E., Shishkin, G.I. (2004) Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient. Mathematical and Computer Modelling, 40. 1375-1392 doi:10.1016/j.mcm.2005.01.025
 
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