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Found 309 Documents (Results 1–100)

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On the uniform convergence of parabolic spline interpolation on the class of functions with large gradients in the boundary layer. (Russian, English) Zbl 1399.65042

Sib. Zh. Vychisl. Mat. 20, No. 2, 131-144 (2017); translation in Numer. Analysis Appl. 10, No. 2, 108-119 (2017).
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Difference scheme for an initial-boundary value problem for a singularly perturbed transport equation. (English. Russian original) Zbl 1383.65096

Comput. Math. Math. Phys. 57, No. 11, 1789-1795 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 11, 1824-1830 (2017).
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Use of asymptotics for new dynamic adapted mesh construction for periodic solutions with an interior layer of reaction-diffusion-advection equations. (English) Zbl 1368.65166

Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 107-118 (2017).
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Unstructured mesh generation and adaptation. (English) Zbl 1368.65182

Abgrall, Rémi (ed.) et al., Handbook on numerical methods for hyperbolic problems. Applied and modern issues. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-63910-3/hbk; 978-0-444-63911-0/ebook). Handbook of Numerical Analysis 18, 263-302 (2017).
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On the convergence of the Dirichlet grid problem with a singularity for a singularly perturbed convection-diffusion equation. (English. Russian original) Zbl 1368.65212

Mosc. Univ. Comput. Math. Cybern. 40, No. 4, 147-154 (2016); translation from Vestn. Mosk. Univ., Ser. XV 2016, No. 4, 3-9 (2016).
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Convergence of a Bakhvalov grid adaptation method for singularly perturbed boundary value problems. (Russian, English) Zbl 1349.65236

Sib. Zh. Vychisl. Mat. 19, No. 1, 47-59 (2016); translation in Numer. Analysis Appl. 9, No. 1, 34-44 (2016).
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Numerical experiments with a linear convection-diffusion problem containing a time-varying interior layer. (English) Zbl 1427.65178

Knobloch, Petr (ed.), Boundary and interior layers, computational and asymptotic methods – BAIL 2014. Proceedings of the conference, Prague, Czech Republic, September 15–19, 2014. Cham: Springer. Lect. Notes Comput. Sci. Eng. 108, 221-231 (2015).
MSC:  65M06 65M50
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Lagrange interpolation and Newton-Cotes formulas for functions with boundary layer components on piecewise-uniform grids. (Russian, English) Zbl 1349.65060

Sib. Zh. Vychisl. Mat. 18, No. 3, 289-303 (2015); translation in Numer. Analysis Appl. 8, No. 3, 235-247 (2015).
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A technique to construct grid methods of higher accuracy order for a singularly perturbed parabolic reaction-diffusion equation. (English) Zbl 1319.65080

Ansari, Ali R. (ed.), Advances in applied mathematics. Selected papers based on the presentations at the 1st Gulf international conference on applied mathematics 2013, GICAM ’13, Kuwait City, Kuwait, in cooperation with the Society for Industrial and Applied Mathematics, SIAM, November 19–21, 2013. Cham: Springer (ISBN 978-3-319-06922-7/hbk; 978-3-319-06923-4/ebook). Springer Proceedings in Mathematics & Statistics 87, 139-151 (2014).
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Adaptive \(p\)-version of the finite element method for solving boundary value problems for ordinary second-order differential equations. (English. Russian original) Zbl 1282.65094

Differ. Equ. 49, No. 7, 835-848 (2013); translation from Differ. Uravn. 49, No. 7, 863-876 (2013).
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