$N$-widths for singularly perturbed problems
Copyright policy )$N$-widths for singularly perturbed problems
Summary: Kolmogorov \(N\)-widths are an approximation theory concept that, for a given problem, yields information about the optimal rate of convergence attainable by any numerical method applied to that problem. We survey sharp bounds recently obtained for the \(N\)-widths of certain singularly perturbed convection-diffusion and reaction-diffusion boundary value problems.
Numerical solution of boundary value problems involving ordinary differential equations, differential equation, \(N\)-width, Error bounds for boundary value problems involving PDEs, boundary value problem, Approximation by arbitrary nonlinear expressions; widths and entropy, Singular perturbations for ordinary differential equations, reaction-diffusion, convection-diffusion, singularly perturbed, Singular perturbations in context of PDEs
Numerical solution of boundary value problems involving ordinary differential equations, differential equation, \(N\)-width, Error bounds for boundary value problems involving PDEs, boundary value problem, Approximation by arbitrary nonlinear expressions; widths and entropy, Singular perturbations for ordinary differential equations, reaction-diffusion, convection-diffusion, singularly perturbed, Singular perturbations in context of PDEs
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