Difference between revisions of "Dictionary:Green’s functions/en"
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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 [[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'']]. | ||
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| + | 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 10:45, 16 March 2020
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.
