Boris Galerkin was a Russian mathematician and engineer known for his contributions to the field of numerical analysis, particularly in the development of the Galerkin method. The Galerkin method is a technique used for converting a continuous operator problem (like differential equations) into a discrete problem, which can then be solved more easily using numerical methods. It involves approximating solutions using basis functions, which can significantly aid in solving partial differential equations and other complex problems in engineering and physics.

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