# Dictionary:Green’s functions/en: Difference between revisions

Jump to navigation
Jump to search

(Updating to match new version of source page) |
(Updating to match new version of source page) |
||

Line 1: | Line 1: | ||

<languages/> | <languages/> | ||

{{#category_index:G|Green’s functions}} | {{#category_index:G|Green’s functions}} | ||

Solution of a differential equation with an impulse as the exciting force. Exact seismograms in a given medium can be viewed as the convolution of the source wavelet and the medium’s Green’s function. See [[Special:MyLanguage/Dictionary:convolutional_model|''convolutional model'']]. | Solution of a differential equation with an impulse as the exciting force. Exact seismograms in a given medium can be viewed as the convolution of the source wavelet and the medium’s Green’s function. See [[Special:MyLanguage/Dictionary:convolutional_model|''convolutional model'']]. | ||

Problems in the physical sciences consist of a ''governing equation,'' which may be an ordinary differential equation (ODE) | |||

or a partial differential equation (PDE), a ''source'' or forcing function for the equation, and a set of ''boundary conditions.'' | |||

When the governing equation is a linear operator, many such problems may be solved via the so-called [[Green's function method]]. |

## Latest revision as of 15:45, 16 March 2020

{{#category_index:G|Green’s functions}}
Solution of a differential equation with an impulse as the exciting force. Exact seismograms in a given medium can be viewed as the convolution of the source wavelet and the medium’s Green’s function. See *convolutional model*.

Problems in the physical sciences consist of a *governing equation,* which may be an ordinary differential equation (ODE)
or a partial differential equation (PDE), a *source* or forcing function for the equation, and a set of *boundary conditions.*
When the governing equation is a linear operator, many such problems may be solved via the so-called Green's function method.