2019/04/18 by Paul Walker, Walker, Paul A.
Physics and Astronomy · Engineering · #Scientific Research and Discoveries #Electromagnetic Simulation and Numerical Methods #Electromagnetic Scattering and Analysis
paper · pdf · doi:10.48550/arxiv.1904.09869
We present a local interpolation method in four dimensions utilising cubic splines. An extension of the three-dimensional tricubic method, the interpolated function has C1 continuity and its partial derivatives are analytically accessible. The specific example of application of this work to a time-varying three-dimensional magnetic field is given, but this method would work equally well for a time-independent four-dimensional field. Implementations of both of these methods in the Python programming language are also available to download.