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Cover Quote: February 2007

I cannot imagine a rigorous mathematical proof, even if heavily computer aided, that would show that the numerical results presented ... are within a small tolerance of an exact solution, whose existence would also need a mathematical proof. But the strikingly close similarity of the computational results presented here [is] a strong argument that this is so. Ami Harten has famously observed that for computational scientists there are two kinds of truth: the truth that you prove, and the truth you see when you compute.

- Peter D. Lax
Computational fluid dynamics, 2006
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