Abstract
In this paper, we consider a one dimensional L-C transmission line as a serial chain of L-C circuits with holonomic constraints and we propose a variational integrator for such an interconnected system by the discrete Lagrange-d' Alembert principle. We show how to formulate the discrete Lagrangian system for the L-C transmission line by introducing the extended Lagrangian and we finally show the numerical validity of our theory for evaluating energy errors in a long-time numerical integrations by comparing with the case by the 4-th order Runge-Kutta method.
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