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Supercloseness of the continuous interior penalty method for singularly perturbed problems in 1D: Vertex-cell interpolation JOURNAL ARTICLE published January 2018 in Applied Numerical Mathematics Research funded by National Science Foundation of China (11771257) | Shandong Provincial Natural Science Foundation, China (ZR2017MA003) | A Project of Shandong Province Higher Educational Science and Technology Program (J17KA169) | National Science Foundation of China (11601251) | Shandong Provincial Natural Science Foundation, China (ZR2016AM13) | A Project of Shandong Province Higher Educational Science and Technology Program (J16LI10) |
A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem JOURNAL ARTICLE published March 2018 in Computational and Applied Mathematics Research funded by Ministry of Education, Science and Technological Development of the Republic of Serbia (174030,174030) |
Pointwise Error Estimates for the LDG Method Applied to 1-d Singularly Perturbed Reaction-Diffusion Problems JOURNAL ARTICLE published 1 January 2013 in Computational Methods in Applied Mathematics |
Supercloseness analysis of the nonsymmetric interior penalty Galerkin method for a singularly perturbed problem on Bakhvalov-type mesh JOURNAL ARTICLE published October 2023 in Applied Mathematics Letters Research funded by National Natural Science Foundation of China (11771257) | Natural Science Foundation of Shandong Province (ZR2021MA004) |
Recurrence Method for Solving Singularly Perturbed Boundary Value Problems JOURNAL ARTICLE published November 2010 in Studies in Applied Mathematics |
Non-Symmetric Interior Penalty Galerkin Finite Element Method for a Class of Singularly Perturbed Reaction Diffusion Problems with Discontinuous Data JOURNAL ARTICLE published December 2022 in International Journal of Applied and Computational Mathematics Research funded by Council for Scientific and Industrial research, India (09/045(1547)/2017-EMR-I) | Science and Engineering Research Board, DST, India (SPG/2022/000063) |
Fitted reproducing kernel method for singularly perturbed delay initial value problems JOURNAL ARTICLE published July 2016 in Applied Mathematics and Computation Research funded by National Natural Science Foundation of China (11201041) |
Error analysis for a Galerkin-spectral method with coordinate transformation for solving singularly perturbed problems JOURNAL ARTICLE published August 2001 in Applied Numerical Mathematics |
A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems JOURNAL ARTICLE published November 2015 in East Asian Journal on Applied Mathematics |
A priori error estimates for interior penalty discontinuous Galerkin method applied to nonlinear Sobolev equations JOURNAL ARTICLE published June 2008 in Applied Mathematics and Computation |
Combined finite volume element method for singularly perturbed reaction–diffusion problems JOURNAL ARTICLE published March 2009 in Applied Mathematics and Computation |
Edge stabilization for the generalized Stokes problem: A continuous interior penalty method JOURNAL ARTICLE published April 2006 in Computer Methods in Applied Mechanics and Engineering |
The error estimates of spectral methods for 1-dimension singularly perturbed problem JOURNAL ARTICLE published February 2020 in Applied Mathematics Letters |
A numerical method for singularly perturbed turning point problems with an interior layer JOURNAL ARTICLE published January 2014 in Journal of Computational and Applied Mathematics Research funded by National Natural Science Foundation of China (11201041,11026200) | Special Funds of the National Natural Science Foundation of China (11141003) |
Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer JOURNAL ARTICLE published January 2006 in Applied Mathematics and Computation |
A uniformly convergent continuous–discontinuous Galerkin method for singularly perturbed problems of convection–diffusion type JOURNAL ARTICLE published January 2011 in Applied Mathematics and Computation |
Uniformly Convergent New Hybrid Numerical Method for Singularly Perturbed Parabolic Problems with Interior Layers JOURNAL ARTICLE published April 2020 in International Journal of Applied and Computational Mathematics |
Discontinuous Galerkin methods with interior penalties on graded meshes for 2D singularly perturbed convection–diffusion problems JOURNAL ARTICLE published January 2017 in Applied Numerical Mathematics Research funded by Zhejiang Provincial Natural Science Foundation (LQ14A010013,LY15A010018) |
Error estimates for transport problems with high Péclet number using a continuous dependence assumption JOURNAL ARTICLE published January 2017 in Journal of Computational and Applied Mathematics Research funded by Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (18226-12-4) |
Error estimates of fictitious domain method with an $$H^1$$ penalty approach for elliptic problems JOURNAL ARTICLE published February 2022 in Computational and Applied Mathematics |