Vectorized partial wave calculation using a cauchy-type propagation matrix

Kenji Ishibashi; Yuki Miura; Hiroshi Takada; Takeji Sakae; Yuzuru Matsumoto; Akira Katase

doi:10.1016/0021-9991(89)90088-0

Vectorized partial wave calculation using a cauchy-type propagation matrix

Kenji Ishibashi, Yuki Miura, Hiroshi Takada, Takeji Sakae, Yuzuru Matsumoto, Akira Katase

Applied Nuclear Physics

Research output: Contribution to journal › Article › peer-review

Abstract

The partial wave analysis is an important method of obtaining the collision cross section in atomic and nuclear physics. An algorithm is devised to reduce the computing time by using a vector computer. In solving the Schrödinger equation numerically, this algorithm vectorizes the recurrent calculation in an ingenious way. The method is suited for those problems that are related to relatively a small number of quantum states (reaction channels). A simple example of the calculation is shown for elastic scattering. A speed-up gain of 8 is achieved in comparison to a scalar computer.

Original language	English
Pages (from-to)	17-26
Number of pages	10
Journal	Journal of Computational Physics
Volume	80
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(89)90088-0
Publication status	Published - Jan 1989

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modelling and Simulation
Physics and Astronomy (miscellaneous)
Physics and Astronomy(all)
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/0021-9991(89)90088-0

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AU - Katase, Akira

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Vectorized partial wave calculation using a cauchy-type propagation matrix

Abstract

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