The use of Chebyshev Polynomials in the space-time least-squares spectral element method

Abstract

Chebyshev polynomials of the first kind are employed in a space-time least-squares spectral element formulation applied to linear and nonlinear hyperbolic scalar equations. No stabilization techniques are required to render a stable, high order accurate scheme. In parts of the domain where the underlying exact solution is smooth, the scheme exhibits… (More)
DOI: 10.1007/BF02810622

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