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When a partial differential equation is discretized, the given infinitedimensional problem —which implicitly determines a function—is transformed approximately into a finite-dimensional system of algebraic equations whose unknowns are the degrees of freedom of the discretization method.

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© 2007 Springer-Verlag Berlin Heidelberg

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(2007). Numerical Methods for Discretized Problems. In: Numerical Treatment of Partial Differential Equations. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71584-9_8

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