Transactions of the Japan Society for Industrial and Applied Mathematics

Online ISSN : 2424-0982
ISSN-L : 0917-2246

Search
Browse

All issues

Volume 8, Issue 4

Displaying 1-16 of 16 articles from this issue

Download citation

Show all abstracts

[title in Japanese]

Article type: Cover
1998 Volume 8 Issue 4 Pages Cover1-
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_Cover1

JOURNAL FREE ACCESS

Download PDF (33K)
[title in Japanese]

Article type: Cover
1998 Volume 8 Issue 4 Pages Cover2-
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_Cover2

JOURNAL FREE ACCESS

Download PDF (33K)
[title in Japanese]

Article type: Appendix
1998 Volume 8 Issue 4 Pages App1-
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_App1

JOURNAL FREE ACCESS

Download PDF (34K)
[title in Japanese]

[in Japanese]

Article type: Article
1998 Volume 8 Issue 4 Pages i-
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_i

JOURNAL FREE ACCESS

Download PDF (171K)
[title in Japanese]

Article type: Appendix
1998 Volume 8 Issue 4 Pages App2-
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_App2

JOURNAL FREE ACCESS

Download PDF (65K)
ITERATION ALGORITHM FOR THE HELMHOLTZ EQUATION BY MEANS OF DOMAIN DECOMPOSITION METHOD

Xiao-Jin LIU, Takashi KAKO

Article type: Article
1998 Volume 8 Issue 4 Pages 435-446
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_435

JOURNAL FREE ACCESS

Show abstractHide abstract

In this paper we study a non-overlapping domain decomposition method combined with an iteration algorithm applied to the Helmholtz equation. We use a transmission type condition which has been introduced by Despres [3] on the boundaries of sub-domains. Modifying the proof in [3], we prove the convergence of the iteration scheme. We propose two algorithms of numerical calculation by finite element method based on this iteration scheme, and we demonstrate the efficiency of our algorithms.

View full abstract

Download PDF (853K)
Wave occurrence in nonlinear chain vibration model

Akira Shimizu

Article type: Article
1998 Volume 8 Issue 4 Pages 447-455
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_447

JOURNAL FREE ACCESS

Show abstractHide abstract

This paper describes the waves that occur in the chain vibration model in which adjoining particles are connected by a nonlinear spring. The nonlinear spring has a term that is proportional to the expansion of the spring and a term that is proportional to the n-th power of the expansion of the spring. In this chain vibration model, it was shown that the wave generated maintains a constant distance between the particles due to the interaction of the transversal and longitudinal vibrations. The existence of the wave was confirmed by simulation. It was also shown that the wave conveys kinetic energy but not potential energy.

View full abstract

Download PDF (668K)
Interpolation and Numerical Integration Using Polyharmonic Function

Yoshihiro OCHIAI

Article type: Article
1998 Volume 8 Issue 4 Pages 457-468
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_457

JOURNAL FREE ACCESS

Show abstractHide abstract

This paper presents an interpolation method and a numerical integration by using the boundary integral equation and the polyharmonic function. In the method using B-spline, points must be assigned in a gridiron layout. In the presented method using polyharmonic function, arbitrary points can be assigned instead of a gridiron layout, therefore it becomes easy to interpolate. This method requires a boundary geometry of the region and arbitrary internal points. The value at arbitrary point and the integral value are calculated after solving the discretized boundary integral equation. In order to investigate the efficiency of this method, several examples are given.

View full abstract

Download PDF (601K)
An Algorithm for Finding a Plane Region with the Minimum Total L_1 Distance from Prescribed Terminals

Yoshiyuki Kusakari, Takao Nishizeki

Article type: Article
1998 Volume 8 Issue 4 Pages 469-496
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_469

JOURNAL FREE ACCESS

Show abstractHide abstract

Given k terminals and n axis-parallel rectangular obstacles on the plane, our algorithm finds a plane region R^* such that, for any point p in R^*, the total length of the k shortest rectilinear paths connecting p and the k terminals without passing through any obstacle is minimum. The algorithm is output-sensitive, and takes O((K+kn)log(kn)+k^2n) time and O(K+k^2n) space, where K is the total number of polygonal vertices of the found region R^*. If k is a bounded constant, then our algorithm takes O((K+n)log n) time and O(K+n) space.

View full abstract

Download PDF (2529K)
Optimal History-Independent Inspection Strategy for Fatigue Failure based on a Cost-Criterion

Michiko Toyoda-Makino, Hiroaki Tanaka

Article type: Article
1998 Volume 8 Issue 4 Pages 497-508
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_497

JOURNAL FREE ACCESS

Show abstractHide abstract

Optimal inspection strategy for random fatigue crack growth is theoretically investigated based upon cost-minimization, by the use of a diffusive crack growth model, where the randomness associated with the material inhomogeneity as well as the initial crack length is taken into analysis. Assuming that a component is immediately replaced if a crack is detected by the inspection, we formulate the expected total cost expended until the design life based upon a history-independent strategy. Next, we derive the optimal schedule through numerical calculations. Finally, sensitivity analyses on some model parameters are performed.

View full abstract

Download PDF (1060K)
A new algorithm calculating the excited-state properties with multidimensional auxiliary-field Monte Carlo method

Kanako Sato, Kenji Kume, Mikio Kaji

Article type: Article
1998 Volume 8 Issue 4 Pages 509-522
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_509

JOURNAL FREE ACCESS

Show abstractHide abstract

We examine a new algorithm for calculating the excited-state properties of quantum many-body system with the auxiliary-field Monte Carlo method by extending it to multiple dimension. In order to see the validity of the algorithm, we have applied it to the exactly solvable Lipkin model. We have also examined an improved algorithm.

View full abstract

Download PDF (1078K)
[title in Japanese]

Article type: Index
1998 Volume 8 Issue 4 Pages 89-90
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_89

JOURNAL FREE ACCESS

Download PDF (102K)
[title in Japanese]

Article type: Index
1998 Volume 8 Issue 4 Pages 91-93
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_91

JOURNAL FREE ACCESS

Download PDF (146K)
[title in Japanese]

Article type: Appendix
1998 Volume 8 Issue 4 Pages App3-
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_App3

JOURNAL FREE ACCESS

Download PDF (13K)
[title in Japanese]

Article type: Cover
1998 Volume 8 Issue 4 Pages Cover3-
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_Cover3

JOURNAL FREE ACCESS

Download PDF (31K)
[title in Japanese]

Article type: Cover
1998 Volume 8 Issue 4 Pages Cover4-
Published: December 15, 1998
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.8.4_Cover4

JOURNAL FREE ACCESS

Download PDF (31K)

feedback

Top

Register with J-STAGE for free!