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- Bennewitz, Christer, et al.
(author)
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A limit point criterion with applications to nonselfadjoint equations
- 2002
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In: Journal of Computational and Applied Mathematics. - 0377-0427. ; 148:1, s. 257-265
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Journal article (peer-reviewed)abstract
- A unified approach is given which allows one to construct examples of all three cases resulting from a generalization of the classical Weyl limit point limit circle analysis, for differential equations as well as for difference equations.
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2. |
- Lenferink, Wilhelmus
(author)
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A second order scheme for a time-dependent, singularly perturbed convection-diffusion equation
- 2002
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In: Journal of Computational and Applied Mathematics. - 0377-0427 .- 1879-1778. ; 143:1, s. 49-68
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Journal article (peer-reviewed)abstract
- We consider a numerical scheme for a one-dimensional, time-dependent, singularly perturbed convection-diffusion problem. The problem is discretized in space by a standard finite element method on a Bakhvalov-Shishkin type mesh. The space error is measured in an L2 norm. For the time integration, the implicit midpoint rule is used. The fully discrete scheme is shown to be convergent of order 2 in space and time, uniformly in the singular perturbation parameter. © 2002 Elsevier Science B.V. All rights reserved.
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