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Finite Difference Methods [PDF]

open access: possible, 1996
As was mentioned in Chap. 1, all conservation equations have similar structure and may be regarded as special cases of a generic transport equation, Eq. (1.26), (1.27) or (1.28). For this reason, we shall treat only a single, generic conservation equation in this and the following chapters.
Milovan Perić, Joel H. Ferziger
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Finite-difference methods [PDF]

open access: possible, 2001
In previous chapters, we have discussed the equations governing the structure of a steady flow and the evolution of an unsteady flow, and derived selected solutions for elementary flow configurations by analytical and simple numerical methods. To generate solutions for arbitrary flow conditions and boundary geometries, it is necessary to develop ...
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On Finite Difference Sets

Acta Mathematica Hungarica, 1998
Let \(A\) denote a finite subset of \({\mathbb{R}}^n\). The difference set of \(A\) is given by \(A-A=\{a-b:a,b\in A\}\). The affine dimension of \(A\), denoted by \(d=\dim A\), is defined as the dimension of the smallest affine subspace containing \(A\). \textit{G. A. Freiman}, \textit{A. Heppes}, and \textit{B. Uhrin} derived the general lower bound \
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Isotropic finite-differences

Journal of Computational Physics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finite Differences and Finite Elements

2011
In the preceding chapters, we have described the numerical solution techniques most commonly applied in ocean-acoustic propagation modeling. One or more of these approaches are numerically efficient for the majority of forward problems occurring in underwater acoustics, including propagation over very long ranges, with or without lateral variations in ...
Michael B. Porter   +3 more
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