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Showing 1 to 2 of 2 for “"Functions, Orthogonal"”.
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A Development of Orthogonal Functions as Series Solutions of the Partial Differential Equations of Physics
Introduction. Statement of problem: The primary purpose of this study is to indicate the manner in which a Boundary Value problem in Physics leads to the solution in generalized Fourier Series. The conditions to be met in problems of this sort are generally the Partial Differential Equation and …
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Approximation of wave packets on the whole real line
… n is large as it denotes the number of basis functions used to approximate a function. Moreover, we are interested in approximating highly oscillatory wave packets so ω, which denotes the frequency of the wave packet, is also a large parameter. This work appears in [Iserles et al., 2022]. A …