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
In this thesis, parameter-uniform numerical methods for certain classes of singularly perturbed diff...
AbstractWe derive necessary conditions for the uniform convergence (with respect to the perturbation...
Sharp bounds for the n-width of solution sets of a class of elliptic partial differential equations ...
summary:Kolmogorov $N$-widths are an approximation theory concept that, for a given problem, yields ...
AbstractSharp bounds for the n-width of solution sets of a class of elliptic partial differential eq...
International audienceKolmogorov n-widths and low-rank approximations are studied for families of el...
Numerical approximations to the solution of a linear singularly perturbed parabolic convection-diffu...
The main purpose of this report is to carry out the effect of the various numerical methods for solv...
AbstractA priori parameter explicit bounds on the solution of singularly perturbed elliptic problems...
In this paper, we study the convergence and superconvergence properties of the discontinuous Galerki...
We consider a singularly perturbed convection-diusion problem posed in the unit square with a horizo...
peer-reviewedWe consider a singularly perturbed convection-diffusion problem posed in the unit squar...
In the field of singularly perturbed reaction- or convection-diffusion boundary value problems the r...
Despite the availability of an abundant literature on singularly perturbed problems, interest towar...
summary:Singularly perturbed problems of convection-diffusion type cannot be solved numerically in a...
In this thesis, parameter-uniform numerical methods for certain classes of singularly perturbed diff...
AbstractWe derive necessary conditions for the uniform convergence (with respect to the perturbation...
Sharp bounds for the n-width of solution sets of a class of elliptic partial differential equations ...
summary:Kolmogorov $N$-widths are an approximation theory concept that, for a given problem, yields ...
AbstractSharp bounds for the n-width of solution sets of a class of elliptic partial differential eq...
International audienceKolmogorov n-widths and low-rank approximations are studied for families of el...
Numerical approximations to the solution of a linear singularly perturbed parabolic convection-diffu...
The main purpose of this report is to carry out the effect of the various numerical methods for solv...
AbstractA priori parameter explicit bounds on the solution of singularly perturbed elliptic problems...
In this paper, we study the convergence and superconvergence properties of the discontinuous Galerki...
We consider a singularly perturbed convection-diusion problem posed in the unit square with a horizo...
peer-reviewedWe consider a singularly perturbed convection-diffusion problem posed in the unit squar...
In the field of singularly perturbed reaction- or convection-diffusion boundary value problems the r...
Despite the availability of an abundant literature on singularly perturbed problems, interest towar...
summary:Singularly perturbed problems of convection-diffusion type cannot be solved numerically in a...
In this thesis, parameter-uniform numerical methods for certain classes of singularly perturbed diff...
AbstractWe derive necessary conditions for the uniform convergence (with respect to the perturbation...
Sharp bounds for the n-width of solution sets of a class of elliptic partial differential equations ...
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