The arctan/tan and Kepler-Burgers mappings for periodic solutions with a shock, front, or internal boundary layer

DOI10.1016/0021-9991(92)90136-MzbMath0760.65106MaRDI QIDQ1184613

John P. Boyd

Publication date: 28 June 1992

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsnumerical examplesshock wavesboundary layersHermite functionsFourier pseudospectral methodimbricate seriesgeophysical frontsKepler-Burgers mappingKorteweg-De Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Shock waves and blast waves in fluid mechanics (76L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Applications to the sciences (65Z05)

Related Items (8)

Peakons and coshoidal waves: Traveling wave solutions of the Camassa-Holm equation ⋮ Chebyshev-Fourier spectral methods in bipolar coordinates ⋮ Mapped Chebyshev pseudospectral method for the study of multiple scale phenomena ⋮ Construction of Lighthill's unitary functions: The imbricate series of unity ⋮ Periodized radial basis functions. I: Theory. ⋮ Mappings and accuracy for Chebyshev pseudo-spectral approximations ⋮ Sharp-Interface Limits of the Cahn--Hilliard Equation with Degenerate Mobility ⋮ An analytic approximation to the cardinal functions of Gaussian radial basis functions on an infinite lattice

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