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arXiv · 2510.13428

Verification Challenge: Fractional Cascading for Multi-Nuclide Grid Lookup

Andrew R. Siegel
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Abstract

We present a verification challenge based on the fractional cascading (FC) technique for accelerating repeated searches across a collection of sorted arrays. The specific context is nuclear cross section lookup in a simulation code, where a material consists of many nuclides, each with its own sorted energy grid. A naive search performs a binary search in each array individually. The FC-based cascade grid structure reduces this cost by performing a single binary search followed by constant-time refinements. The challenge consists of verifying the correctness of the FC algorithm with respect to the naive approach and validating its structural properties.

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Andrew R. Siegel. 2025-10-15. Verification Challenge: Fractional Cascading for Multi-Nuclide Grid Lookup. https://doi.org/10.4204/eptcs.432.12

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