# Dictionary Definition

integrator n : a measuring instrument for
measuring the area of an irregular plane figure [syn: planimeter]

# User Contributed Dictionary

## English

### Noun

- A person who, or a device which integrates
- A device which calculates definite integrals
- Any electronic device that sums a measurement over time

# Extensive Definition

An integrator is a device to perform the
mathematical operation known as integration, a fundamental
operation in calculus.

The integration function is often part of
engineering,
physics, mechanical, chemical and scientific calculations.

## Integrator in signal processing

Electronic devices have been
constructed to perform integration (usually with respect to time)
of signals. This operation is a form of first-order low-pass
filter, which can be performed in the continuous-time (analog)
domain or approximated (simulated) in the discrete-time (digital)
domain. An integrator will have a low pass filtering effect but
when given an offset it will accumulate a value building it until
it reaches a limit of the system or overflows.

See also
Integrator at op amp applications.

## Integrator in computer simulation

In some computational
physics computer
simulations, such as
numerical weather prediction, molecular
dynamics, flight
simulators, reservoir
simulation, noise
barrier design, architectural
acoustics, and
electronic circuit simulation, an integrator is a numerical
method for integrating trajectories from forces (and thereby
accelerations) that are only calculated at discrete time
steps.

There are a variety of
explicit and implicit methods used in computer simulations. The
most basic and least accurate kind of numerical integration is
Euler
integration. Verlet
integration improves the accuracy of the integration to within
fourth-order Taylor
series terms, and the Runge-Kutta
method which is gaining popularity further improves this
accuracy to within fifth-order Taylor series terms.

## See also

## External links

integrator in Czech: Integrační článek

integrator in Dutch: Integrator

integrator in Japanese: 積分器

integrator in Polish: Układ całkujący

integrator in Portuguese: Integrador

integrator in Russian: Интегратор
(устройство)

integrator in Finnish: Integraattori

integrator in Ukrainian:
Інтегратор