Numerical Linear Algebra for Computational Science and Engineering: A Course Overview
2025-05-03
This course on numerical linear algebra is designed for students in computational science and information engineering. It comprises 18 lectures, each featuring theoretical presentations, homework problems, and mostly Julia coding assignments. Topics covered include fundamentals of linear algebra, floating-point arithmetic, direct methods, sparse data structures, iterative methods, Krylov subspace methods, multigrid methods, elements of randomized numerical linear algebra, and communication-avoiding algorithms. Extensive learning resources, including slides and Jupyter Notebooks, are provided.
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