Strict error estimation for a spectral method of compressible fluid flow. (English) Zbl 0668.76072

A Fourier spectral method for compressible flow in n-dimensional space with periodic boundary conditions is constructed. We give a strict error estimation, from which the convergence follows with some assumptions.


76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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