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0003759132
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Robust Computational Techniques for Boundary Layers
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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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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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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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P. W. Hemker, G. I. Shishkin, and L. P. Shishkina, ε-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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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, Russ. J. Numer. Anal. Math. Model., 17 (2002), No. 1, pp. 1-24.
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Numerical methods for singularly perturbed boundary-value problems modeling diffusion processes
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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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Linear and Quasilinear Equations of Parabolic Type
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Nauka, Moscow, 1967, in Russian; English transl.: Translations of Mathematical Monographs 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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Increasing the Accuracy of Solutions of Difference Schemes
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G. I. Marchuk and V. V. Shaidurov, Increasing the Accuracy of Solutions of Difference Schemes, Nauka, Moscow, 1979, in Russian.
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Fitted Numerical Methods for Singular Perturbation Problems. Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions
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World Scientific, 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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Numerical Methods for Singularly Perturbed Differential Equations. Convection-Diffusion and Flow Problems
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Springer-Verlag, Berlin
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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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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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Ural Branch of Russian Acad. Sci.
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Approximation of solutions of singularly perturbed boundary-value problems with a parabolic boundary layer
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