Journal of the Indonesian Mathematical Society
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Articles
620 Documents
VIBRATION REDUCTION ON SINGLE-LINK FLEXIBLE MANIPULATOR USING H CONTROL
Saragih, Roberd;
Tarwidi, Dede
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS
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DOI: 10.22342/jims.14.2.52.73-82
This paper is concerned with the vibration and position control of a single link flexible manipulator. Robot link manipulators are widely used in various industrial applications. It is desirable to build light weight flexible manipulators. Light flexible manipulators have a variety of applications, most significantly in space exploration,manufacturing automation, construction, mining, and hazardous operation. Timoshenko beam theory is used to derive mathematical model of a flexible manipulator. The dynamic equations of motion are obtained using the Lagrange's formulation of dynamics.The Hinfin; controller is designed for vibration and position control of the system. Simulations are presented and show that vibration and position control of a single flexible link can be controlled with the designed Hinfin; controller.DOI :Â http://dx.doi.org/10.22342/jims.14.2.52.73-82
THE EXTREME POSITION AND AMPLITUDE AMPLIFICATION OF BICHROMATIC WAVES PROPAGATION BASED ON THIRD ORDER SOLUTION OF BOUSSINESQ EQUATION
., Marwan;
., Andonowati
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS
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DOI: 10.22342/jims.14.2.54.95-110
This paper concerns with the down-stream propagation of waves over initially still water. Such a study is relevant to generate waves of large amplitude in wave tankof a hydrodynamic laboratory. Input in the form of a time signal is provided at the wave-maker located at one side of the wave tank; the resulting wave then propagates over initially still water towards the beach at the other side of the tank. Experiments show that nonlinear effects will deform the waves and may lead to large wave with waves height larger than twice the original input; the deformation may show itself as peakingand splitting. It is direct scientific interest to understand and quantify the nonlinear distortion; it is also much practical interest to know at which location in the wave tank,the extreme position, the waves will achieve their maximum amplitude and to know the amplitude amplification factor. To investigate this, a previously introduced concept called Maximal Temporal Amplitude (MTA) is used: at each location the maximum over time ofthe wave elevation. An explicit expression of the MTA cannot be found in general from the governing equations and generating signals. In this paper we will use Boussinesq modeland third order approximation theory to calculate the approximate extreme positions and amplification factor for wave-group that originate from initially bi-chromatic type of wave. The wave is described by superposition of two monochromatic waves. We show that, the extreme position depends on the amplitude and the wave length of the group.The theoretical results are verified with numerical as well as experimental results for comparison.DOI :Â http://dx.doi.org/10.22342/jims.14.2.54.95-110
PRIMITIVE IDEALS OF TOEPLITZ ALGEBRA OF ORDERED GROUPS
Rosjanuardi, Rizky
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS
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DOI: 10.22342/jims.14.2.55.111-119
The topology on primitive ideal space of Toeplitz algebras of totally ordered abelian groups can be identified through the upwards-looking topology if and only if the chain of order ideals is well-ordered. We describe the topology on primitive ideal space of Toeplitz algebra of totally ordered abelian groups when the chain of order ideals is not well ordered.DOI :Â http://dx.doi.org/10.22342/jims.14.2.55.111-119
MORREY SPACES WITH NON-DOUBLING MEASURES II
Sawano, Yoshihiro
Journal of the Indonesian Mathematical Society Volume 14 Number 2 (October 2008)
Publisher : IndoMS
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DOI: 10.22342/jims.14.2.56.121-152
The aim of this article is a survey of the research of Morrey spaces with non-doubling measures. This article is based on the lecture delivered in Institute Technology Bandung. The first half of this survey contains key results with proofs, which was written is a self-contained manner except Section 6. The second half, Parts 2 and 3, is devoted to formulating key results without proofs.DOI :Â http://dx.doi.org/10.22342/jims.14.2.56.121-152
A FINITE DIFFERENCE METHOD FOR THE ONE-DIMENSIONAL VARIATIONAL BOUSSINESQ EQUATIONS
Suryanto, A.;
Groesen, E. van
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS
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DOI: 10.22342/jims.14.1.57.1-11
The variational Boussinesq equations derived by Klopman et. al. (2005) con-verse mass, momentum and positive-definite energy. Moreover, they were shown to have significantly improved frequency dispersion characteristics, making it suitable for wave simulation from relatively deep to shallow water. In this paper we develop a numerica lcode for the variational Boussinesq equations. This code uses a fourth-order predictor-corrector method for time derivatives and fourth-order finite difference method for the first-order spatial derivatives. The numerical method is validated against experimen-tal data for one-dimensional nonlinear wave transformation problems. Furthermore, the method is used to illustrate the dispersive effects on tsunami-type of wave propagation.DOI :Â http://dx.doi.org/10.22342/jims.14.1.57.1-11
PRIMENESS IN CATEGORY OF MODULES AND CATEGORY OF COMODULES OVER CORINGS
Wijayanti, Indah Emilia
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS
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DOI: 10.22342/jims.14.1.58.13-24
We recall the notion of prie modules and use the analogue technique to define prime comodules and corings. Moreover, the related properties are of interest. We investigate the relation of primeness of C-comodule M and the dual algebra *C of a coring C, the relation to projectivity of a coring in the associated category, the implication of the primeness to the injective hull and product of prime coalgebras. DOI : http://dx.doi.org/10.22342/jims.14.1.58.13-24
EXTENDED LUCAS TUBE: GRAF HAMILTONIAN BARU
., Ernastuti;
Kerami, Djati;
Widjaya, Belawati H
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS
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DOI: 10.22342/jims.14.1.59.25-35
A Hamiltonian cycle in a connected graph G is defined as a closed walk that traverses every vertex of G exactly once, except the starting vertex at which the walk also terminates. If an edge from a Hamiltonian cycle is removed, it forms a path calleda Hamiltonian path. A graph G is called Hamiltonian if there is a Hamiltonian cyclein G. It is known that every hypercube graph is Hamiltonian. But when one or more vertices are removed from a hypercube graph, will it still be Hamiltonian? Some induced subgraphs of a hypercube graph such as the Fibonacci cube (FC), the extended Fibonaccicube (EFC), and the Lucas cube (LC) have been introduced and their Hamiltonicities have been investigated. Research results showed that less than a third of FC graphs are Hamiltonian although all of them have Hamiltonian path. All EFC graphs are Hamiltonian and none of LC graphs is Hamiltonian although some still have Hamiltonian paths.This paper introduces another subgraph of a hypercube graph called the Extended Lucas Cube (ELC). The ELC is shown to be Hamiltonian by using the approach of k-Gray Code and Bipartition Property.DOI :Â http://dx.doi.org/10.22342/jims.14.1.59.25-35
P(I)DE APPROACH FOR INDONESIAN OPTIONS PRICING
., Gunardi
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS
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DOI: 10.22342/jims.14.1.60.37-45
Jakarta Stock Exchange Indonesia has started to trade Indonesian options at September 9th, 2004. An Indonesian option can be considered as an American style barrier option with immediate (forced) exercise if the price hits or crosses the barrier before maturity. The payoff of the option is based on a moving average of the price of the underlying stock. The barrier is fixed at the strike price plus or minus a 10 percent. The option is automatically exercised when the underlying stock hits or crosses the barrier and the difference between strike and barrier is paid immediately. We will refer to this type of option as an Indonesian option. In this paper we study the pricing of the Indonesian option under Black-Scholes model by PDE approach and under Variance Gamma model by PIDE approach.DOI :http://dx.doi.org/10.22342/jims.14.1.60.37-45
APPLICATIONS OF DIFFERENTIAL SUBORDINATION AND SUPERORDINATION
Ganesamoorthy, C.;
Marikkannan, N.;
Jeyaraman, M. P.
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS
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DOI: 10.22342/jims.14.1.62.47-56
In the present investigation we obtain asndwich theorems for certain subclass of analytic functions defined by convolution. Our results generalizes several well known results.DOI :Â http://dx.doi.org/10.22342/jims.14.1.62.47-56