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The News of Altai State University
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1-2(65)2010
Physics

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D.I. Popov, A.M. Sagalakov

The Effective Algorithm of Quadratic Nonlinearity Calculation in Spectral Approximation for the Second Order Differential Equation

The special form of spectral approximation is considered to represent non-liner terms as quadratic form with sparse matrix. The testing results are discussed.
Key words: spectral approximation, Burgers equation, Galerkin method, orthogonal system.

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