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Finite formulation of electromagnetic field

IEEE Transactions on Magnetics, 2002
We show that the equations of electromagnetism can be directly obtained in a finite form, i.e., discrete, thus avoiding the traditional discretization methods of Maxwell's differential equations. The finite formulation can be used with unstructured meshes in two and three dimensions and easily permits to obtain fourth-order convergence.
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Finite Fields

1982
Kenneth Ireland, Michael Rosen
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Properties of Finite Fields

2016
In this chapter we shall use the construction of the previous chapter, and discuss some of the most important properties of finite fields. While we shall generally discuss our results in terms of fields of characteristic p, in our examples we shall concentrate on the case p = 2, which is, for many applications, and especially those in secret key ...
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Polynomials and Finite Fields

1972
In section 7.1 a field was defined and examples were mentioned which included the finite field Zp obtained by forming the residue classes for a prime modulus p. In this chapter we shall consider other finite fields obtained by combining Zp with powers of x to form polynomial expressions in x: but first it is advisable to extend the ideas on congruency ...
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Applications of Finite Fields

1996
Harald Niederreiter, Rudolf Lidl
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