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• W2888781179 abstract "A highly accurate and efficient numerical method is presented for computing the solution of a 1-D time-dependent partial differential equation in which the spatial differential operator features a piecewise constant coefficient defined on n pieces, in either self-adjoint and non-self-adjoint form, on a finite interval with periodic boundary conditions. The Uncertainty Principle is used to estimate the eigenvalues of the operator. Then, these estimates are used to construct a basis of eigenfunctions for use with a spectral method. The solution is presented as a truncated eigenfunction expansion, where each eigenfunction is a wave function that changes frequencies at the interfaces between different materials. Numerical experiments demonstrate the accuracy, efficiency and scalability of the method in comparison to other methods." @default.
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• W2888781179 date "2019-02-01" @default.
• W2888781179 modified "2023-09-27" @default.
• W2888781179 title "Diagonalization of 1-D differential operators with piecewise constant coefficients using the uncertainty principle" @default.
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• W2888781179 doi "https://doi.org/10.1016/j.matcom.2018.08.003" @default.
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