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- W1976598984 abstract "One frequently uses the Ritz variational method to determine the coefficients of series obtained by separation of the variables when solving boundary value problems of electrostatic fields. In this paper an improvement to the variational method for determining the coefficients is proposed. When the solution of the problem is obtained numerically the calculational procedure for the new method is much simpler than that of the old, and the accuracy of the solution using the new method is better than that obtained using the least-squares method. By taking a problem of two-dimensional electrostatic fields as an example, the authors are able to understand the numerical calculational procedure of the new method. The results are compared with the true solution. The new method is applied to two-cylinder electron lenses and the electron optical characteristics are made clear." @default.
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- W1976598984 date "1982-09-14" @default.
- W1976598984 modified "2023-09-26" @default.
- W1976598984 title "An improvement to the variational method for boundary value problems and its application to two-cylinder electrostatic lenses" @default.
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- W1976598984 doi "https://doi.org/10.1088/0022-3727/15/9/009" @default.
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