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- W2030401488 abstract "The Fourier analysis of C 1 -collocation semidiscretization at the Gauss points, for the hyperbolic equation u t + cu x = 0, is performed by use of tridiagonal C 1 -collocation, i.e., a new 3-point finite difference reformulation of the method. The results are compared with Vichnevetsky's general 3-point family and Galerkin's B-spline semidiscretizations. Furthermore, it is shown that the C 1 -collocation method with spacing h (sampling frequency ω 0 ) and the Galerkin method with linear splines and spacing 1 2 h (sampling frequency 2ω 0 ) produce the same numerical phase velocity and the same nodal approximations at both the common and the noncommon nodes." @default.
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- W2030401488 date "1988-09-01" @default.
- W2030401488 modified "2023-09-25" @default.
- W2030401488 title "C1-collocation semidiscretization of ut + cux = 0: its fourier analysis and equivalence to the Galerkin method with linear splines" @default.
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- W2030401488 doi "https://doi.org/10.1016/s0378-4754(98)90002-7" @default.
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