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