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- W2501916181 abstract "Even though it can be shown that the boundary value problems introduced in Chap. 1 admit solutions, they do not admit explicit solutions as a general rule, i.e., solutions that can be written in closed form. Therefore, in order to obtain quantitative information on the solutions, it is necessary to define approximation procedures that are effectively computable. We present in this chapter the simplest of all approximation methods, the finite difference method. We apply the method to the numerical approximation of a model problem, the Dirichlet problem for the Laplacian in one space dimension. We then give some indications for the extension of the method to Neumann boundary conditions and to two-dimensional problems." @default.
- W2501916181 created "2016-08-23" @default.
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- W2501916181 date "2016-01-01" @default.
- W2501916181 modified "2023-09-26" @default.
- W2501916181 title "The Finite Difference Method for Elliptic Problems" @default.
- W2501916181 doi "https://doi.org/10.1007/978-3-319-27067-8_2" @default.
- W2501916181 hasPublicationYear "2016" @default.
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