Abstract
In this section we want to introduce the finite difference method, frequently abbreviated as FDM, using the Poisson equation on a rectangle as an example. By means of this example and generalizations of the problem, advantages and limitations of the approach will be elucidated. Also, in the following section the Poisson equation will be the main topic, but then on an arbitrary domain.
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Knabner, P., Angermann, L. (2021). For the Beginning: The Finite Difference Method for the Poisson Equation. In: Numerical Methods for Elliptic and Parabolic Partial Differential Equations. Texts in Applied Mathematics, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-030-79385-2_1
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DOI: https://doi.org/10.1007/978-3-030-79385-2_1
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-030-79385-2
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