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DOE OSTI · 3375595

Second Order System Study

Lehman, Sean K. [Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)]
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Abstract

During my education in mathematics, engineering and physics, I learned transform pairs and their usage mechanics but I never remember seeing the derivations of the solutions to second order ordinary differential equations (ODE) and difference equations. A solution to a question posed in a potential funder meeting put me on a path to solving second order systems using the five principal Fourier based methods: Fourier transform (FT), Z-transform (ZT), discrete time Fourier transform (DTFT), discrete Fourier transform (DFT) and Laplace transform (LT).

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Lehman, Sean K. [Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)]. 2026-03-26. Second Order System Study. https://doi.org/10.2172/3375595

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