Free online book 'The Science of Computing' links PDEs, numerics, and cache performance

burkov · x · 2026-11-16

A free online book, The Science of Computing by Victor Eijkhout, Edmond Chow, and Robert van de Geijn (2022), targets readers studying computational methods and high-performance computing. It connects mathematical models, numerical methods, and program performance: introducing PDEs through heat-flow examples (time-dependent vs. steady-state, boundary-value problems), using Taylor series for accuracy analysis, and then diving into memory — readers simulate caches, study hit-and-miss behavior, and learn why the growing CPU–memory speed gap matters.

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