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- W2739969062 abstract "A singularly perturbed parabolic equation of convection-diffusion type with an interior layer in the initial condition is studied. The solution is decomposed into a discontinuous regular component, a con- tinuous outflow boundary layer component and a discontinuous interior layer component. A priori parameter-explicit bounds are derived on the derivatives of these three components. Based on these bounds, a parameter-uniform Shishkin mesh is constructed for this problem. Numerical analysis is presented for the associated numerical method, which concludes by showing that the numerical method is a parameter- uniform numerical method. Numerical results are presented to illus- trate the theoretical bounds on the error established in the paper." @default.
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- W2739969062 date "2011-01-01" @default.
- W2739969062 modified "2023-10-01" @default.
- W2739969062 title "A singularly perturbed convection-diffusion problem with a moving interior layer ∗" @default.
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