Truncation error is a concept that refers to the use of only the first N terms of an infinite series to estimate a value. This method is different from rounding, as it cuts off the extra decimals without changing the final digit. Truncation errors occur when a primitive becomes a smaller primitive and data is lost in the conversion. Truncation error analysis provides a framework for analyzing the accuracy of finite difference schemes. When the step size h between two adjacent values Ik becomes smaller, the truncation error of the numerical integration rule decreases.
The error caused by choosing a finite number of rectangles instead of an infinite number of them is a truncation error in the mathematical process of integration. Several operating systems or programming languages use truncate as a command or function to limit the size of a field, dataflow, or file. The global truncation error is the accumulation of the local truncation error over all iterations, assuming perfect knowledge of the true solution in the initial time step. Check truncation, as used in US English, refers to a check clearing system that involves the elimination or elimination of physical processing of paper checks and their replacement by electronic means. In computer applications, the truncation error is the discrepancy that arises when executing a finite number of steps to approximate an infinite process. Truncation, also called derivation, is a technique that broadens the search to include multiple word endings and spelling.
This problem can be exploited when the truncated value is used as an array index, which can happen implicitly when 64-bit values are used as indexes, since they are truncated to 32-bit. However, a numeric truncation error may occur if the integer values are higher than the maximum value allowed for the primitive type short.