Multisymplectic Euler-Box scheme on Maxwell's equations

The advantages of the Multistep algorithm in Maxwell's equations have been verified by numerous scholars in the mathematical society. The Multistep Euler-box scheme is a combined format that employs both forward and backward differences simultaneously in space and time. This paper, for the first time, integrates the Multistep Euler-box scheme with practical engineering in the electromagnetic field, conducts numerical example validations, and compares it with the time-domain finite difference method, confirming the effectiveness of the Multistep Euler-box format.