SIAM Journal on Numerical Analysis, Vol. 24, No. 3 (Jun., 1987), pp. 532-537 (6 pages) We present here a convergence proof for spectral approximations for hyperbolic systems with initial and boundary ...
This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an ...
Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...
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