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The Finite Difference Method [PDF]
, 1999 The finite difference method was traditionally used in electron optics for solving field distributions. Even for magnetic field calculations, where the finite element method has largely replaced it, there are instances where the finite difference method is still advocated [1]. Finite elements are closely related to finite differences, indeed, there are
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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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Macromodeling in Finite Differences
2011In recent years a powerful concept of macromodels has emerged in computational electromagnetics. The technique is particularly attractive for mesh based methods because macromodels are capable of capturing complex field behavior in selected areas of finely meshed computational space with fewer variables than the original scheme.
Michal Mrozowski, Lukasz Kulas
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Calculus of Finite Differences.
Mathematics of Computation, 1962H. P., Charles Jordan
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1986
Consider the problem $$\frac{{{\text{d}}y}}{{{\text{d}}x}} = 0$$ where y = a when x ...
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Consider the problem $$\frac{{{\text{d}}y}}{{{\text{d}}x}} = 0$$ where y = a when x ...
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2013
The Finite-Difference method is based on the reasoning of differential equations.
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The Finite-Difference method is based on the reasoning of differential equations.
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1993
The finite difference method (FDM) is an approximate method for solving partial differential equations. It has been used to solve a wide range of problems. These include linear and non-linear, time independent and dependent problems. This method can be applied to problems with different boundary shapes, different kinds of boundary conditions, and for a
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The finite difference method (FDM) is an approximate method for solving partial differential equations. It has been used to solve a wide range of problems. These include linear and non-linear, time independent and dependent problems. This method can be applied to problems with different boundary shapes, different kinds of boundary conditions, and for a
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The Language of Finite Differences
2018Throughout the previous chapters, we derived results using infinitesimal calculus, such as the Euler-Maclaurin summation formula, the Boole summation formula, and the methods of summability of divergent series. In this chapter, we derive analogous results using the language of finite differences, as opposed to infinitesimal derivatives.
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