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discretization error
In numerical analysis, computational physics, and simulation, discretization error (or ''truncation error'') is the error inherent in discretization. It results 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. Whenever continuous data is discretized, there is always some amount of discretization error. The goal is to reduce the amount to a level considered negligible for the modeling purposes at hand.
==Examples==
Discretization error is the principal source of error in methods of finite differences and the pseudo-spectral method of computational physics.
When we define the derivative of as or , where is a finitely small number, the difference between the first formula and this approximation is known as discretization error.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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