逐次伝達法のための弱形式離散化スキームとその離散化誤差  [in Japanese] Weak-Form Discretization Scheme for Recursive Transfer Method and the Discretization Errors  [in Japanese]

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Author(s)

Abstract

逐次伝達法(RTM)は,Numerov法を用いて開発された数値計算法で,局在波が関与する散乱問題の解析に適している.しかし,Numerov法の離散化に関する制限からRTMの適用範囲が限られていた.そこで,新たな離散化スキームが提案されるとともにRTMの適用範囲も拡張されている.このスキームの下で1次元散乱問題を議論し,RTMの誤差を評価するとともに高い精度が実現できることを示した.

Using Numerov method, the recursive transfer method (RTM) was developed as a numerical method for solving scattering problems caused by localized waves. However, the application scope of RTM was limited because of the restriction on Numerov method. Therefore, the new discretization scheme was proposed to extend the scope of RTM. Analyzing one-dimensional scattering problem under the proposed discretization scheme, the RTM error was evaluated and the possibility to achieve high accuracy was shown.

Journal

  • Transactions of the Japan Society for Industrial and Applied Mathematics

    Transactions of the Japan Society for Industrial and Applied Mathematics 25(1), 31-46, 2015

    The Japan Society for Industrial and Applied Mathematics

Codes

  • NII Article ID (NAID)
    110009923191
  • NII NACSIS-CAT ID (NCID)
    AN10367166
  • Text Lang
    JPN
  • ISSN
    0917-2246
  • NDL Article ID
    026301397
  • NDL Call No.
    Z15-727
  • Data Source
    NDL  NII-ELS  J-STAGE 
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