Numerical Integration Method for Oscillatory Functions over Half Infinite Interval by Partition Integration Method
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- Hirayama Hiroshi
- Kanagawa Institute of Technology
Bibliographic Information
- Other Title
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- 部分積分法による半無限区間振動型積分の数値計算法
- ブブン セキブンホウ ニヨル ハンムゲン クカン シンドウガタ セキブン ノ
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Abstract
Arithmetic operations and functions of Taylor series can be defined easily by FORTRAN 90 and C++program language. Using this, it is shown that asymptotic expansion of the integral for oscillatory functions over infinite interval: ∫^∞_0f(x)g(x)dx, where f(x) is slowly decaying function, g(x) is sin x, cosx or J_n(x)(the first kind Bessel function of integer order), can be computed easily by partition integration method. Evaluating this expansion gives an effective numerical integration method for this kind of integrals.
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 7 (2), 131-138, 1997
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390001205768016384
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- NII Article ID
- 110001883648
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 4236485
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed
