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On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
Excerpt from On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
These fast methods can also be used for elliptic problems on regions, or With boundary conditions, which do not allow for separation of variables, provided that the differential operator allows for separation of variables on a different region or With different boundary conditions, see Buzbee, Dorr, George and Golub Buzbee and Dorr [es] and Hockney This last condition amounts to a requirement that the differential operator can be split into the sum of commuting operators, each of which contains derivatives With respect to only one variable.
These fast methods can also be used for elliptic problems on regions, or With boundary conditions, which do not allow for separation of variables, provided that the differential operator allows for separation of variables on a different region or With different boundary conditions, see Buzbee, Dorr, George and Golub Buzbee and Dorr [es] and Hockney This last condition amounts to a requirement that the differential operator can be split into the sum of commuting operators, each of which contains derivatives With respect to only one variable.
110 pages, Paperback
First published August 4, 2015
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