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A spreadsheet-like "direct manipulation" interface is more intuitive for many non-technical database users compared to traditional alternatives, such as visual query builders. The construction of such a direct manipulation interface may appear straightforward, but there are some significant challenges. First, individual direct manipulation operations cannot be too complex, so expressive...
In this paper, a difference scheme based on the quartic splines for solving the singularly-perturbed two-point boundary-value problem of second-order ordinary differential equations subject to Neumann-type boundary conditions are derived. The accuracy order of the schemes is O(h4) not only at the interior nodal points but also at the two endpoints, which are better than general center finite difference...
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