Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Weak-Form Discretization Scheme for Recursive Transfer Method and the Discretization Errors
Hatsuhiro KatoHatsuyoshi Kato
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2015 Volume 25 Issue 1 Pages 31-46

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Abstract
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.
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© 2015 The Japan Society for Industrial and Applied Mathematics
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