Difference between revisions of "Dictionary:Green’s functions/en"

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{{DISPLAYTITLE:Dictionary:Green&#x2019;s functions}}
 
 
{{#category_index:G|Green&#x2019;s functions}}
 
{{#category_index:G|Green&#x2019;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&#x2019;s Green&#x2019;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&#x2019;s Green&#x2019;s function. See [[Special:MyLanguage/Dictionary:convolutional_model|''convolutional model'']].
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Problems in the physical sciences consist of a ''governing equation,'' which may be an ordinary differential equation (ODE)
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or a partial differential equation (PDE), a ''source'' or forcing function for the equation, and a set of ''boundary conditions.''
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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 10:45, 16 March 2020

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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.