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Yakov Berchenko-Kogan, Washington University in St. Louis, Noether’s theorem, Maxwell’s equations, and numerical methods
Yakov Berchenko-Kogan, Washington University in St. Louis, Noether’s theorem, Maxwell’s equations, and numerical methods
Noether's theorem tells us that if a system is invariant under a group of symmetries, then we have quantities that are conserved. For example, if a system is invariant under translation, then momentum is conserved. If a system is invariant under rotation, then angular momentum is conserved. One of the challenges in numerical analysis is to make sure that these…