Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. High-order accurate decomposition of the Richardson method for a singularly perturbed elliptic reaction-diffusion equation. (Russian, English) Zbl 1114.65128 Zh. Vychisl. Mat. Mat. Fiz. 44, No. 2, 329-337 (2004); translation in Comput. Math. Math. Phys. 44, No. 2, 309-316 (2004). Reviewer: Evgenij Nechaev (Moskva) MSC: 65N06 35B25 35J25 65N15 65N55 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Zh. Vychisl. Mat. Mat. Fiz. 44, No. 2, 329--337 (2004; Zbl 1114.65128); translation in Comput. Math. Math. Phys. 44, No. 2, 309--316 (2004)
Shishkin, Grigory I.; Shishkina, Lidia P.; Hemker, Pieter W. A class of singularly perturbed convection-diffusion problems with a moving interior layer. An a posteriori adaptive mesh technique. (English) Zbl 1049.65085 Comput. Methods Appl. Math. 4, No. 1, 105-127 (2004). MSC: 65M06 35K15 35B25 65M12 65M15 65M50 PDFBibTeX XMLCite \textit{G. I. Shishkin} et al., Comput. Methods Appl. Math. 4, No. 1, 105--127 (2004; Zbl 1049.65085) Full Text: DOI
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. High-order time-accurate schemes for parabolic singular perturbation convection-diffusion problem with Robin boundary conditions. (English) Zbl 1129.76034 Mat. Model. 15, No. 8, 99-112 (2003). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76M20 76R99 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Mat. Model. 15, No. 8, 99--112 (2003; Zbl 1129.76034) Full Text: MNR
Hemker, Pieter W.; Shishkin, Grigorii I.; Shishkina, Lidia P. Novel defect-correction high-order, in space and time, accurate schemes for parabolic singularly perturbed convection-diffusion problems. (English) Zbl 1034.65071 Comput. Methods Appl. Math. 3, No. 3, 387-404 (2003). MSC: 65M06 65M12 65M15 35B25 35K15 65M50 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Comput. Methods Appl. Math. 3, No. 3, 387--404 (2003; Zbl 1034.65071) Full Text: DOI
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. High-order time-accuracy schemes for parabolic singular perturbation problems with convection. (English) Zbl 1002.65092 Russ. J. Numer. Anal. Math. Model. 17, No. 1, 001-024 (2002). Reviewer: Marek Brandner (Plzeň) MSC: 65M06 65M12 35K15 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Russ. J. Numer. Anal. Math. Model. 17, No. 1, 001--024 (2002; Zbl 1002.65092) Full Text: DOI Link
Hemker, Pieter W.; Shishkin, Grigorii I.; Shishkina, Lidia P. High-order time-accurate schemes for singularly perturbed parabolic convection-diffusion problems with Robin boundary conditions. (English) Zbl 0996.65081 Comput. Methods Appl. Math. 2, No. 1, 3-25 (2002). MSC: 65M06 65M12 65M15 35K15 35B25 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Comput. Methods Appl. Math. 2, No. 1, 3--25 (2002; Zbl 0996.65081) Full Text: DOI Link
Hemker, Pieter W.; Shishkin, Grigorii I.; Shishkina, Lidia P. Acceleration by parallel computations of solving high-order time-accurate difference schemes for singularly perturbed convection-diffusion problems. (English) Zbl 0978.65077 Vulkov, Lubin (ed.) et al., Numerical analysis and its applications. 2nd international conference, NAA 2000, Rousse, Bulgaria, June 11-15, 2000. Revised papers. Berlin: Springer. Lect. Notes Comput. Sci. 1988, 393-401 (2001). MSC: 65M06 65Y05 65M12 35B25 35K15 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Lect. Notes Comput. Sci. 1988, 393--401 (2001; Zbl 0978.65077)
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. High-order time-accurate parallel schemes for parabolic singularly perturbed problems with convection. (English) Zbl 0978.65076 Computing 66, No. 2, 139-161 (2001). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M06 35B25 35K15 65M12 65Y05 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Computing 66, No. 2, 139--161 (2001; Zbl 0978.65076) Full Text: DOI
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. Distributing the numerical solution of parabolic singularly perturbed problems with defect correction over independent processes. (Russian) Zbl 0956.65074 Sib. Zh. Vychisl. Mat. 3, No. 3, 229-258 (2000). Reviewer: V.Grebenev (Novosibirsk) MSC: 65M06 35K15 65Y05 35B25 65M12 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Sib. Zh. Vychisl. Mat. 3, No. 3, 229--258 (2000; Zbl 0956.65074)
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. \(\varepsilon\)-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems. (English) Zbl 0942.65095 IMA J. Numer. Anal. 20, No. 1, 99-121 (2000). Reviewer: E.Emmrich (Berlin) MSC: 65M06 65M12 35K15 35B25 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., IMA J. Numer. Anal. 20, No. 1, 99--121 (2000; Zbl 0942.65095) Full Text: DOI Link
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. An \(\varepsilon\)-uniform defect-correction method for a parabolic convection-diffusion problem. (English) Zbl 0980.65089 Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 521-529 (1999). MSC: 65M06 65M50 65M12 35B25 35K15 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., in: Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA '98, Sofia, Bulgaria, August 19--23, 1998. Singapore: World Scientific. 521--529 (1999; Zbl 0980.65089)
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. The numerical solution of a Neumann problem for parabolic singularly perturbed equations with high-order time accuracy. (English) Zbl 0980.65088 Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 27-39 (1999). MSC: 65M06 65M50 65M12 35B25 35K15 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., in: Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA '98, Sofia, Bulgaria, August 19--23, 1998. Singapore: World Scientific. 27--39 (1999; Zbl 0980.65088)
Shishkin, G. I.; Shishkina, L. P.; Hemker, P. W. A numerical method with floating meshes for singularly perturbed problems with a concentrated disturbance in the initial data. (English) Zbl 0908.65078 CWI Q. 10, No. 3-4, 317-336 (1997). MSC: 65M06 35B25 65M12 35K15 35L45 PDFBibTeX XMLCite \textit{G. I. Shishkin} et al., CWI Q. 10, No. 3--4, 317--336 (1997; Zbl 0908.65078)
Hemker, P. W.; Shishkin, G. I.; Shishkina, L. P. The use of defect correction for the solution of parabolic singular perturbation problems. (English) Zbl 0882.65071 Z. Angew. Math. Mech. 77, No. 1, 59-74 (1997). Reviewer: U.Langer (Linz) MSC: 65M06 35B25 35K15 65M12 65M50 PDFBibTeX XMLCite \textit{P. W. Hemker} et al., Z. Angew. Math. Mech. 77, No. 1, 59--74 (1997; Zbl 0882.65071) Full Text: DOI Link