Convergence analysis of the LDG method for singularly perturbed two-point boundary value problems

DOI10.4310/CMS.2011.v9.n4.a4zbMath1281.65106OpenAlexW1985859449MaRDI QIDQ389516

Haiyan Tian, Zhimin Zhang, Hui-Qing Zhu

Publication date: 21 January 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://intlpress.com/site/pub/pages/journals/items/cms/content/vols/0009/0004/a004/index.html

zbMATH Keywords

error estimatesnumerical experimentstwo-point boundary value problemShishkin meshlocal discontinuous Galerkin methodconvection-diffusion typecovnergencereaction-diffusion type

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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