Abstract
The divide-and-conquer paradigm as well as other closely related principles of algorithmic design like recursion or hierarchy have turned out to be advantageous for a wide spectrum of numerical topics, especially in situations where adaptively refined grids have to be taken into account. Starting from a really classic example, Archimedes’ solution to the problem of integrating a parabola segment, we discuss the impact of such design patterns on numerical quadrature, interpolation, and the numerical solution of elliptic PDEs.
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Bungartz, HJ., Zenger, C. (1999). Error Control for Adaptive Sparse Grids. In: Bulgak, H., Zenger, C. (eds) Error Control and Adaptivity in Scientific Computing. NATO Science Series, vol 536. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4647-0_7
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DOI: https://doi.org/10.1007/978-94-011-4647-0_7
Publisher Name: Springer, Dordrecht
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