Document Type

Conference Proceeding

Publication Date



Australian Mathematical Society


A new preconditioning-based parameter-uniform convergence analysis is presented for one-dimensional singularly perturbed convection-diffusion problems discretized by an upwind difference scheme on a Bakhvalov-type mesh. The proof technique utilizes the classical convergence principle: uniform stability and uniform consistency imply uniform convergence, which can only be used after applying an appropriate preconditioner to the discrete operator.


William McLean, Shev Macnamara, and Judith Bunder, editors, Proceedings of the 19th Biennial Computational Techniques and Applications Conference, CTAC-2020

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