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While most algebra is done by writing text and formulas, diagrams have always been used to present structural information clearly and concisely. Text shells are the de facto interface for computational algebraic number theory, but they are incapable of presenting structural information graphically. We present GiANT, a newly developed graphical interface for working with number fields. GiANT offers interactive diagrams, drag-and-drop functionality, and typeset formulas.
We describe both the classical lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.
We describe both the classical Lagrangian and the
Eulerian methods for first order
Hamilton–Jacobi equations of geometric optic type.
We then explain the basic structure of the software
and how new solvers/models can be added to it.
A selection of numerical examples are presented.
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