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Differential Equations and Numerical Methods

This cluster of papers focuses on numerical methods and analysis for solving singularly perturbed problems, particularly in the context of convection-diffusion and reaction-diffusion equations. The research covers topics such as boundary layers, finite difference schemes, asymptotic analysis, parameter-robust methods, and adaptive meshes to accurately solve these challenging problems.

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Singular PerturbationNumerical MethodsConvection-Diffusion ProblemsBoundary LayersFinite Difference SchemesAsymptotic AnalysisParameter-Robust MethodsReaction-Diffusion EquationsAdaptive MeshesError Analysis