The Near - Stability of the Lax - Wendroff Method
نویسنده
چکیده
In discussing finite difference methods for the solution of hyperbolic par t ia l differential equations, STETrER [1] used est imates on some absolutely convergent Fourier series to prove stabi l i ty and instabi l i ty with respect to uniform convergence. I f / , a complex valued function on the circle, has an absolutely convergent Fourier series, then the n-th power of ] also has an absolutely convergent Fourier series: l . (~)=Xc~.~ '~, l l l l l -E l~ . l<~o , , ,--~,2 . . . . . /z k
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