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All issues Volume 30 / No 2 (April 2025) Wuhan Univ. J. Nat. Sci., 30 2 (2025) 139-149 References
Open Access
Issue
Wuhan Univ. J. Nat. Sci.
Volume 30, Number 2, April 2025
Page(s) 139 - 149
DOI https://doi.org/10.1051/wujns/2025302139
Published online 16 May 2025
  1. Roos H G, Stynes M, Tobiska L. Robust Numerical Methods for Singularly Perturbed Differential Equations[M]. 2nd Edition. Berlin: Springer-Verlag, 2008. [Google Scholar]
  2. Zadorin A I, Zadorin N A. Quadrature formulas for functions with a boundary-layer component[J]. Computational Mathematics and Mathematical Physics, 2011, 51(11): 1837-1846. [Google Scholar]
  3. Zadorin A I. New approaches to constructing quadrature formulas for functions with large gradients[J]. Journal of Physics: Conference Series, 2021, 1901(1): 012055. [Google Scholar]
  4. Zadorin A I. Lagrange interpolation and Newton-Cotes formulas for functions with boundary layer components on piecewise-uniform grids[J]. Numerical Analysis and Applications, 2015, 8(3): 235-247. [Google Scholar]
  5. Shishkin G I. Grid approximations of singularly perturbed elliptic equations in domains with characteristic faces[J]. Russian Journal of Numerical Analysis and Mathematical Modelling, 1990, 5: 327-344. [Google Scholar]
  6. Zadorin A I, Zadorin N A. Lagrange interpolation and the Newton-Cotes formulas on a Bakhvalov mesh in the presence of a boundary layer[J]. Computational Mathematics and Mathematical Physics, 2022, 62(3): 347-358. [Google Scholar]
  7. Bakhvalov N S. The optimization of methods of solving boundary value problems with a boundary layer[J]. USSR Computational Mathematics and Mathematical Physics, 1969, 9(4): 139-166. [Google Scholar]
  8. Linß T. Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems[M]. Berlin: Springer-Verlag, 2010. [Google Scholar]
  9. Zadorin A I, Zadorin N A. Interpolation formula for functions with a boundary layer component and its application to derivatives calculation[J]. Siberian Electronic Mathematical Reports, 2012, 9: 445-455. [Google Scholar]
  10. Zadorin A I. Gauss quadrature on a piecewise uniform mesh for functions with large gradients in a boundary layer[J]. Siberian Electronic Mathematical Reports, 2016, 13: 101-110. [Google Scholar]
  11. Kornev A A, Chizhonkov E V. Uprazhneniya po chislennym metodam[M]. Moscow: Moscow State Univ, 2003: 26. [Google Scholar]
  12. Sun Z Z, Wu H W. An Elementary Numerical Analysis[M]. 5th Edition. Nanjing: Southeast University Press, 2011: 89(Ch). [Google Scholar]
  13. Brenner S C, Scott L R. The Mathematical Theory of Finite Element Methods[M]. New York: Springer-Verlag, 2002. [Google Scholar]
  14. Jiang E X, Zhao F G. Numerical Approximation[M]. 2nd Edition. Shanghai: Fudan University Press, 2008: 160(Ch). [Google Scholar]
  15. Durán R G, Lombardi A L. Finite element approximation of convection diffusion problems using graded meshes[J]. Applied Numerical Mathematics, 2006, 56(10/11): 1314-1325. [Google Scholar]

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