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 Zh. Vychisl. Mat. Mat. Fiz., 1996, Volume 36, Number 9, Pages 83–104 (Mi zvmmf2188)

Approximation of the solutions and diffusion flows of singularly perturbed boundary-value problems with discontinuous initial conditions

G. I. Shishkin

Ekaterinburg

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English version:
Computational Mathematics and Mathematical Physics, 1996, 36:9, 1233–1250

Bibliographic databases:
UDC: 519.63
MSC: Primary 65M06; Secondary 65M15, 35B25, 35K15

Citation: G. I. Shishkin, “Approximation of the solutions and diffusion flows of singularly perturbed boundary-value problems with discontinuous initial conditions”, Zh. Vychisl. Mat. Mat. Fiz., 36:9 (1996), 83–104; Comput. Math. Math. Phys., 36:9 (1996), 1233–1250

Citation in format AMSBIB
\Bibitem{Shi96} \by G.~I.~Shishkin \paper Approximation of the solutions and diffusion flows of singularly perturbed boundary-value problems with discontinuous initial conditions \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 1996 \vol 36 \issue 9 \pages 83--104 \mathnet{http://mi.mathnet.ru/zvmmf2188} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1417915} \zmath{https://zbmath.org/?q=an:0915.65098} \transl \jour Comput. Math. Math. Phys. \yr 1996 \vol 36 \issue 9 \pages 1233--1250 \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1996WV10400008} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. G. I. Shishkin, “Approximation of solutions and derivative of singularly perturbed elliptic equation of convection-diffusion”, Comput. Math. Math. Phys., 43:5 (2003), 641–657
2. Shishkin G.I., “Discrete approximations of solutions and derivatives for a singularly perturbed parabolic convection-diffusion equation”, J Comput Appl Math, 166:1 (2004), 247–266
3. Shishkin G.I., “Grid approximation of parabolic convection-diffusion equations with piecewise smooth initial conditions”, Doklady Mathematics, 72:3 (2005), 850–853
4. G. I. Shishkin, “Grid approximation of singularly perturbed parabolic convection-diffusion equations with a piecewise-smooth initial condition”, Comput. Math. Math. Phys., 46:1 (2006), 49–72
5. Comput. Math. Math. Phys., 47:3 (2007), 442–462
6. Shishkin G.I., “Grid approximation of singularly perturbed parabolic reaction-diffusion equations with piecewise smooth initial-boundary conditions”, Mathematical Modelling and Analysis, 12:2 (2007), 235–254
7. G. I. Shishkin, “The Richardson scheme for the singularly perturbed parabolic reaction-diffusion equation in the case of a discontinuous initial condition”, Comput. Math. Math. Phys., 49:8 (2009), 1348–1368
8. Priyadharshini R.M., Ramanujam N., “Approximation of Derivative for a Singularly Perturbed Second-Order ODE of Robin Type with Discontinuous Convection Coefficient and Source Term”, Numerical Mathematics-Theory Methods and Applications, 2:1 (2009), 100–118
9. Shishkin G., “Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition”, Numerical Analysis and its Applications - 4th International Conference, NAA 2008, Lecture Notes in Computer Science, 5434, 2009, 116–127
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