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Date: 12-7-2018
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A method of determining coefficients in a power series solution
of the ordinary differential equation so that , the result of applying the ordinary differential operator to , is orthogonal to every for , ..., (Itô 1980).
Galerkin methods are equally ubiquitous in the solution of partial differential equations, and in fact form the basis for the finite element method.
REFERENCES:
Itô, K. (Ed.). "Methods Other than Difference Methods." §303I in Encyclopedic Dictionary of Mathematics, 2nd ed., Vol. 2. Cambridge, MA: MIT Press, p. 1139, 1980.
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