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Line 3: == Overview == Partial differential equations (PDEs) are used in all ~~hard~~ [[science]]s to [[mathematical modelling\|model]] phenomena. For the purpose of exposition, we give an example physical problem and the accompanying boundary value problem (BVP). Even if the reader is unfamiliar with the notation, the purpose is merely to show what a BVP looks like when written down. :'''(Model problem)''' The heat distribution in a square metal plate such that the left edge is kept at 1 degree, and the other edges are kept at 0 degree, after letting it sit for a long period of time satisfies the following boundary value problem:

Additive Schwarz method: Difference between revisions