Title: Glossary
Course: Numerical Analysis > Section: Glossary

Numerical method

A systematic and unambiguous mathematical procedure designed to solve numerical problems.

Analytic method

In the context of Numerical analysis, an analytic method is a procedure of solving a mathematical problem, using algebraic formula and theorems in a way that gives an exact result.

Estimate

A value that is close to the correct answer, that has been determined using the available information and technique..

Error

The difference between a true value and an estimate, or approximation, of that value.

Precision

1. Precision refers how close the measured values are to each other.

2. Precision refers to how much information is conveyed by a number (in terms of number of digits or decimal places)

Accuracy

Accuracy is a measure of how close an estimate is to the true value

Round off error

This is the error in the result of a numerical computation caused by using a finite number of decimal places during the computations

Truncation error

truncation error is the error caused when a mathematical procedure is terminated after  executing a finite number of steps to approximate an infinite process.

Tolerance

In numerical analysis the tolerance describes the largest error that we can allow in a mathematical process.

Iteration

Iteration is the repeated application of a function or process in which the output of each step is used as the input for the next cycle.

Error Bound

Error bound describes  the maximum possible error in approximations. So if the error bound is very large, we know that it’s possible that our approximation is bad, and far from the correct result. If the error bound is very small, we know that our approximation is pretty good, and close to the actual result.

Interpolation

In t numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points.

Polynomial interpolation

In numerical analysis, polynomial interpolation is the interpolation of a given data set by the polynomial of lowest possible degree that passes through the points of the dataset.

Operator

In mathematics  an operator is a character that represents an action.

Integration

In mathematics integration is the process of finding the anti derivative of a function.