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Today, field-theory scientists tackle most contemporary research problems numerically, not analytically. For this purpose, the field-theory community has developed, combined, and described numerous methods: the finite-difference time domain method, the method of moments, the finite-integration technique, the fast multipole method, and the finite-element method, among others. Having much in common, these methods all usually rely on coordinate transforms, need an implicit or explicit model to describe the geometry under investigation, and operate on discretized portions of the solution domain (meshes).

M. Zellerhoff, R. Hannemann, J. Hannemann and L. Klinkenbusch, "Scientific Programming in Field Theory, Part 1," in Computing in Science & Engineering, vol. 3, no. , pp. 66-74, 2001.
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