| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4631680 | Applied Mathematics and Computation | 2010 | 12 Pages |
Abstract
The CIP-method is a numerical computational method in the computational fluid dynamics discovered by Takewaki, Nishiguchi and Yabe [H. Takewaki, A. Nishiguchi, T. Yabe, The cubic-interpolated pseudo-particle (CIP) method for solving hyperbolic-type equations, J. Comput. Phys. 61 (1985) 261–268], which shows nice properties as a numerical computational method but it is known that its mathematical essentials have not been revealed well. In this article we investigate the CIP-method from an algebraic viewpoint. Then it is shown that the CIP-method is described well in terms of the sheaf theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Shigeki Matsutani,