The extended method of characteristics is enhancing of the method of characteristics as the uncondi-tionaly stable. The time-domain analysis of the transmission lines can be advanced at high speed by using this, because time interval can be enlarged. Moreover, it is understood that analytical accuracy is good compared with ADI-FDTD method that similarly unconditionaly stable. In this paper, the convergence of the discretization error is studied analytically. If the transmission lines are no loss, it is shown that there is no discretization error at the Curant number is 1 and the discretization error becomes small in proportion to the second power at time interval.%拡張特性法は，特性法を無条件安定なように拡張したもので，伝送線路の時間領域解析に用いるとき，時間刻みを大きくとって解析を高速にできる特長がある．また，同様に無条件安定なADI-FDTD法と比較して解析精度がよいことがわかっている．本文では，離散化誤差の収束性を解析的に調べ，媒質が無損失のとき，クーラン数が1なら離散化誤差が無いこと，および，時間刻みの2乗に比例して離散化誤差が小さくなることを示している．
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