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1
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84961474196
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Grid approximation of singularly perturbed boundary-value problems with convective terms
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G. I. Shishkin, Grid approximation of singularly perturbed boundary-value problems with convective terms, Sov. J. Numer. Anal. Math. Modelling, 5 (1990), No. 2, pp. 137-187.
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Sov. J. Numer. Anal. Math. Modelling
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Shishkin, G.I.1
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2
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25144445603
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Grid Approximations of Singularly Perturbed Elliptic and Parabolic Equations
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Ekaterinburg, Russian
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G. I. Shishkin, Grid Approximations of Singularly Perturbed Elliptic and Parabolic Equations, Ural Branch of Russian Acad. Sci., Ekaterinburg, 1992, in Russian.
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(1992)
Ural Branch of Russian Acad. Sci.
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Shishkin, G.I.1
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3
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0003432191
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Fitted Numerical Methods for Singular Perturbation Problems
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Singapore
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J. J. H. Miller, E. O'Riordan, and G. I. Shishkin, Fitted Numerical Methods for Singular Perturbation Problems. Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions, World Scientific, Singapore, 1996.
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(1996)
Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions, World Scientific
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Miller, J.J.H.1
O'Riordan, E.2
Shishkin, G.I.3
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4
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0003455090
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Springer-Verlag, Berlin
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H.-G. Roos, M. Stynes, and L. Tobiska, Numerical Methods for Singularly Perturbed Differential Equations. Convection-Diffusion and Flow Problems, Springer-Verlag, Berlin, 1996.
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Numerical Methods for Singularly Perturbed Differential Equations. Convection-Diffusion and Flow Problems
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Roos, H.-G.1
Stynes, M.2
Tobiska, L.3
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5
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0002914774
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Discrete approximations for singularly perturbed boundary value problems with parabolic layers
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P. A. Farrell, P. W. Hemker, and G. I. Shishkin, Discrete approximations for singularly perturbed boundary value problems with parabolic layers, in three parts: J. Comput. Mathematics, 14 (1996), No. 1, pp. 71-97;.
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in three parts: J. Comput. Mathematics
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Farrell, P.A.1
Hemker, P.W.2
Shishkin, G.I.3
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6
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0000392267
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J. Comput. Mathematics, 14 (1996), No. 2, pp. 183-194;.
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J. Comput. Mathematics
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7
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J. Comput. Mathematics, 14 (1996), No. 3, pp. 273-290.
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J. Comput. Mathematics
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8
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0001372974
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A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation
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P. A. Farrell, J. J. H. Miller, E. O'Riordan, and G. I. Shishkin, A uniformly convergent finite difference scheme for a singularly perturbed semilinear equation, SIAM J. Numer. Anal., 33 (1996), No. 3, pp. 1135-1149.
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SIAM J. Numer. Anal.
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Miller, J.J.H.2
O'Riordan, E.3
Shishkin, G.I.4
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9
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0003759132
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Chapman & Hall/CRC, Boca Raton, FL
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P. A. Farrell, A. F. Hegarty, J. J. H. Miller, E. O'Riordan, and G. I. Shishkin, Robust Computational Techniques for Boundary Layers, Chapman & Hall/CRC, Boca Raton, FL, 2000.
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Robust Computational Techniques for Boundary Layers
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Farrell, P.A.1
Hegarty, A.F.2
Miller, J.J.H.3
O'Riordan, E.4
Shishkin, G.I.5
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10
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0003940419
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Russian; English transl.: The Theory of Difference Schemes, Marcel Dekker, Inc., New York
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A. A. Samarskii, Theory of Difference Schemes, 3rd edn., Nauka, Moscow, 1989, in Russian; English transl.: The Theory of Difference Schemes, Marcel Dekker, Inc., New York, 2001.
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Theory of Difference Schemes
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Samarskii, A.A.1
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12
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0002240887
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The use of defect correction for the solution of parabolic singular perturbation problems
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P. W. Hemker, G. I. Shishkin, and L. P. Shishkina, The use of defect correction for the solution of parabolic singular perturbation problems, ZAMM, 77 (1997), No. 1, pp. 59-74.
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(1997)
ZAMM
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Hemker, P.W.1
Shishkin, G.I.2
Shishkina, L.P.3
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13
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0034348728
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E-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems
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P. W. Hemker, G. I. Shishkin, and L. P. Shishkina, E-uniform schemes with high-order time-accuracy for parabolic singular perturbation problems, IMA J. Numer. Anal., 20 (2000), No. 1, pp. 99-121.
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IMA J. Numer. Anal.
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Hemker, P.W.1
Shishkin, G.I.2
Shishkina, L.P.3
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14
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33746539002
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The numerical solution of a Neumann problem for parabolic singular perturbed equations with high-order time-accuracy
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(O. P. Iliev, M. S. Kaschiev, S. D. Margenov, B. H. Sendov, and P. S. Vassilevski, eds.), World Scientific, Singapore
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P. W. Hemker, G. I. Shishkin, and L. P. Shishkina, The numerical solution of a Neumann problem for parabolic singular perturbed equations with high-order time-accuracy, in: Recent Advances in Numerical Methods and Applications II (Sofia, 1998) (O. P. Iliev, M. S. Kaschiev, S. D. Margenov, B. H. Sendov, and P. S. Vassilevski, eds.), World Scientific, Singapore, 1999, pp. 27-39.
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Hemker, P.W.1
Shishkin, G.I.2
Shishkina, L.P.3
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15
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0037601893
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High-order time-accurate schemes for parabolic singular perturbation problems with convection
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P. W. Hemker, G. I. Shishkin, and L. P. Shishkina, High-order time-accurate schemes for parabolic singular perturbation problems with convection, Russian J. Numer. Anal. Math. Modelling, 17 (2002), No. 1, pp. 1-24.
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(2002)
Russian J. Numer. Anal. Math. Modelling
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, Issue.1
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Hemker, P.W.1
Shishkin, G.I.2
Shishkina, L.P.3
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16
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0011049870
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Approximation of solutions of singularly perturbed boundary-value problems with a parabolic boundary layer
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Russian; English transl.: USSR Comput. Maths. Math. Phys., 29 (1989)
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G. I. Shishkin, Approximation of solutions of singularly perturbed boundary-value problems with a parabolic boundary layer, Zh. Vychisl. Mat. Mat. Fiz., 29 (1989), No. 7, pp. 963-977, in Russian; English transl.: USSR Comput. Maths. Math. Phys., 29 (1989), No. 4, pp. 1-10.
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Zh. Vychisl. Mat. Mat. Fiz.
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Shishkin, G.I.1
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17
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84944296156
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Grid approximations of singularly perturbed elliptic equation in domains with characteristic bounds
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G. I. Shishkin, Grid approximations of singularly perturbed elliptic equation in domains with characteristic bounds, Sov. J. Numer. Anal. Math. Modelling, 5 (1990), No. 4&5, pp. 327-343.
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(1990)
Sov. J. Numer. Anal. Math. Modelling
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Shishkin, G.I.1
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18
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33645969147
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(J. J. H. Miller, ed.), John Willey & Sons, New York
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V. L. Kolmogorov and G. I. Shishkin, Numerical methods for singularly perturbed boundary value problems modeling diffusion processes, in: Singular Perturbation Problems in Chemical Physics (J. J. H. Miller, ed.), John Willey & Sons, New York, 1997, pp. 181-362.
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(1997)
Numerical methods for singularly perturbed boundary value problems modeling diffusion processes
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Kolmogorov, V.L.1
Shishkin, G.I.2
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19
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0002319597
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Approximation of solutions of singularly perturbed boundary-value problems with a corner boundary layer
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G. I. Shishkin, Approximation of solutions of singularly perturbed boundary-value problems with a corner boundary layer, Zh. Vychisl. Mat. Mat. Fiz., 27 (1987), No. 9, pp. 1360-1374, in Russian; English transl.: USSR Comput. Maths. Math. Phys., 27 (1987), No. 5, pp. 54-63.
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Zh. Vychisl. Mat. Mat. Fiz.
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Shishkin, G.I.1
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20
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0003690985
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Nauka, Moscow, Russian; English transl.: Translations of Mathematical Monographs, American Mathematical Society, Providence, RI
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O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural'tseva, Linear and Quasilinear Equations of Parabolic Type, Nauka, Moscow, 1967, in Russian; English transl.: Translations of Mathematical Monographs, 23, American Mathematical Society, Providence, RI, 1968.
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Linear and Quasilinear Equations of Parabolic Type
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Ladyzhenskaya, O.A.1
Solonnikov, V.A.2
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