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This article is cited in 12 scientific papers (total in 12 papers)
Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions
G. I. Shishkin
Ekaterinburg
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Computational Mathematics and Mathematical Physics, 1997, 37:4, 417–434
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UDC:
519.633
MSC: Primary 35K20; Secondary 39A10, 35B25, 65N12, 35R05
Received: 02.10.1995
Citation:
G. I. Shishkin, “Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions”, Zh. Vychisl. Mat. Mat. Fiz., 37:4 (1997), 429–446; Comput. Math. Math. Phys., 37:4 (1997), 417–434
Citation in format AMSBIB
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\by G.~I.~Shishkin
\paper Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1997
\vol 37
\issue 4
\pages 429--446
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1452589}
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\transl
\jour Comput. Math. Math. Phys.
\yr 1997
\vol 37
\issue 4
\pages 417--434
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http://mi.mathnet.ru/eng/zvmmf2084 http://mi.mathnet.ru/eng/zvmmf/v37/i4/p429
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This publication is cited in the following articles:
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Braianov I.A., Vulkov L.G., “Grid approximation for the solution of the singularly perturbed heat equation with concentrated capacity”, J Math Anal Appl, 237:2 (1999), 672–697
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I. A. Brayanov, L. G. Volkov, “Uniform in a small parameter convergence of Samarskii's monotone scheme and its modification for the convection-diffusion equation with a concentrated source”, Comput. Math. Math. Phys., 40:4 (2000), 534–550
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Braianov I.A., Kandilarov J.D., Vulkov L.G., “Numerical solution of diffusion-desorbtion problems with small diffusion coefficients and localized chemical reactions”, Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, 2000, 169–176
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Shishkin G.I., “Grid approximation of parabolic convection-diffusion equations with piecewise smooth initial conditions”, Doklady Mathematics, 72:3 (2005), 850–853
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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
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Brayanov I.A., “Numerical solution of a mixed singularly perturbed parabolic-elliptic problem”, J Math Anal Appl, 320:1 (2006), 361–380
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Comput. Math. Math. Phys., 47:3 (2007), 442–462
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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
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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
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G. I. Shishkin, “Approximation of singularly perturbed parabolic equations in unbounded domains subject to piecewise smooth boundary conditions in the case of solutions that grow at infinity”, Comput. Math. Math. Phys., 49:10 (2009), 1748–1764
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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
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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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