Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem

By G. Beckett, J. Mackenzie. 2000

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Practical aspects of formulation and solution of moving mesh partial differential equations (2001, unknown): “G. Beckett, J. A. Mackenzie, A. Ramage, and D. M. Sloan, On the numerical solution of one-dimensional PDEs using adaptive methods based on equidistribution,J. Comput.”
Adaptivity with moving grids (2009, methodology): “In such cases we must replace M by the regularised function introduced by (Beckett and Mackenzie 2000) and given by”
Shishkin meshes in the numerical solution of singularly perturbed differential equations (2010, unknown): “Versions of this overall approach have been employed by many researchers to create robust numerical methods and establish their convergence for various singularly perturbed problems; see, for example, [15, 21, 44, 57, 97, 98].”
Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters (2015, background): “Similar monitor functions involving the derivatives of a singular component of the solution have been suggested for convection dominated problems in [2,4].”