Development of simplectic methods for the metrical and electromagnetic fields

Rafael D. Sorkin · PhDT · 1974

The simplectic approach to discretization, as introduced by Regge, may be better suited to computer calculation than is the usual finite difference approach. This thesis describes a general simplectic formalism for coupled electromagnetic and metric fields including detailed discussion of nets for closed and open spacetimes. The rendering of this formalism into computer algorithms is then described, and indicative numerical results are reported.

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