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My work on mesh generation is one example of the geometric issues that arise as part of the problem of automatically generating scientific software. The goal here is to raise the level at which such software is specified by developing an environment in which scientific software can be created using the natural, high-level, mathematical concepts of physics and engineering. Thus a program is specified implicitly as a collection of mathematical equations. Geometric and symbolic techniques are then used to transform these mathematical expressions into effective programs.
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