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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.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
108 pages, Hardcover
First published August 4, 2015
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