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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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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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Finite Differences and Finite Elements
2011In 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 ...
Finn B. Jensen +3 more
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1969
With the aid of electronic computers we can easily calculate the behaviour of oscillating water in even the most complex surge tank systems by using finite difference methods. Consequently these methods are of great importance.
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With the aid of electronic computers we can easily calculate the behaviour of oscillating water in even the most complex surge tank systems by using finite difference methods. Consequently these methods are of great importance.
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1995
Finite-difference methods are important for two reasons. First, they form the background to almost all later developments. Secondly, a finite-difference method is relatively easy to construct and program to solve a particular problem, or class of problems, that may not be suitable for an existing general purpose software package using, say, finite ...
Richard L. Stoll, Kazimierz Zakrzewski
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Finite-difference methods are important for two reasons. First, they form the background to almost all later developments. Secondly, a finite-difference method is relatively easy to construct and program to solve a particular problem, or class of problems, that may not be suitable for an existing general purpose software package using, say, finite ...
Richard L. Stoll, Kazimierz Zakrzewski
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2001
The finite difference method is a universally applicable numerical method for the solution of differential equations. In this chapter, for a sample parabolic partial differential equation, we introduce some difference schemes and analyze their convergence. We present the well-known Lax equivalence theorem and related theoretical results, and apply them
Kendall Atkinson, Weimin Han
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The finite difference method is a universally applicable numerical method for the solution of differential equations. In this chapter, for a sample parabolic partial differential equation, we introduce some difference schemes and analyze their convergence. We present the well-known Lax equivalence theorem and related theoretical results, and apply them
Kendall Atkinson, Weimin Han
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Current treatment and recent progress in gastric cancer
Ca-A Cancer Journal for Clinicians, 2021Smita S Joshi, Brian D Badgwell
exaly
Finite Differences and Difference Equations
1979In Applied Mathematics we frequently encounter functions, relationships or equations that somehow depend upon one or more integer variables. There is a body of Mathematics, termed the Calculus of Finite Differences, that frequently proves useful in treating such situations.
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