In numerical analysis, computational physics, and simulation, discretization error (or truncation error) is error resulting from the fact that a function of a continuous variable is represented in the computer by a finite number of evaluations, for example, on a lattice. Discretization error can usually be reduced by using a more finely spaced lattice, with an increased computational cost.
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“If the individual, or heretic, gets hold of some essential truth, or sees some error in the system being practised, he commits so many marginal errors himself that he is worn out before he can establish his point.”
—Ezra Pound (1885–1972)