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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
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.
Arjuna Subject : -
Articles 625 Documents
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SOLVABILITY OF COUPLED SYSTEMS OF FRACTIONAL ORDER INTEGRO-DIFFERENTIAL EQUATIONS H.H.G. Hashem; A.M.A. El-Sayed
Journal of the Indonesian Mathematical Society Volume 19 Number 2 (October 2013)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.19.2.167.111-121

Abstract

We present existence theorems for coupled systems of quadratic integral equations of fractional order. As applications we deduce existence theorems for twocoupled systems of Cauchy problems. Also, an example illustrating the existence theorem is given.DOI : http://dx.doi.org/10.22342/jims.19.2.167.111-121
ON FREE IDEALS IN FREE ALGEBRAS OVER A COMMUTATIVE RING Khurul Wardati; Indah Emilia Wijayanti; Sri Wahyuni
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.170.59-69

Abstract

Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ideal if it is a free R-submodule with the basis contained in the basis of A. The denition of free ideal and basic ideal in the free R-algebra are equivalent. The free ideal notion plays an important role in the proof of some special properties of a basic ideal that can characterize the free R-algebra. For example, a free R-algebra A is basically semisimple if and only if it is a direct sum of minimal basic ideals in A: In this work, we study the properties of basically semisimple free R-algebras.DOI : http://dx.doi.org/10.22342/jims.21.1.170.59-69
A FEW MORE PROPERTIES OF SUM AND INTEGRAL SUM GRAPHS V Vilfred
Journal of the Indonesian Mathematical Society Volume 20 Number 2 (October 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.2.172.148-159

Abstract

The concepts of sum graph and integral sum graph were introduced by Harary [7], [8]. A sum graph is a graph whose vertices can be labeled with distinct positive integers so that the sum of the labels on each pair of adjacent vertices is the label of some other vertex. Integral sum graphs have the same definition except that the labels may be any integers. Harary [7], [8], gave examples of all orders of sum graphs  and integral sum graphs , nÎN. The family of integral sum graph was extended by Vilfred (see [14]), and in this paper, we obtain a few properties of sum and integral sum graphs and two new families of integral sum graphs.DOI : http://dx.doi.org/10.22342/jims.20.2.172.148-159
TWO ASPECTS OF A GENERALIZED FIBONACCI SEQUENCE Johan Matheus Tuwankotta
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.173.1-17

Abstract

In this paper we study the so-called generalized Fibonacci sequence: $x_{n+2} = \alpha x_{n+1} + \beta x_n, n\in \mathbb{N}$.  We derive an open domain around the origin of the parameter space where the sequence converges to $0$.  The limiting behavior on the boundary of this domain are: convergence to a nontrivial limit, $k$-periodic ($k\in \mathbb{N}$), or quasi-periodic.  We use the ratio of two consecutive terms of the sequence to construct a rational approximation for algebraic numbers of the form: $\sqrt{r}, r\in \mathbb{Q}$.  Using a similar idea, we extend this to higher dimension to construct a rational approximation for  $\sqrt[3]{ a + b\sqrt{c}} +  \sqrt[3]{ a - b\sqrt{c}} + d$.DOI : http://dx.doi.org/10.22342/jims.21.1.173.1-17
ON THE DETOUR AND VERTEX DETOUR HULL NUMBERS OF A GRAPH A. P. Santhakumaran; S. V. Ullas Chandran
Journal of the Indonesian Mathematical Society Volume 20 Number 1 (April 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.1.175.1-9

Abstract

Abstract PDFDOI : http://dx.doi.org/10.22342/jims.20.1.175.1-9
WEAK LOCAL RESIDUALS IN AN ADAPTIVE FINITE VOLUME METHOD FOR ONE-DIMENSIONAL SHALLOW WATER EQUATIONS Sudi Mungkasi; Stephen Gwyn Roberts
Journal of the Indonesian Mathematical Society Volume 20 Number 1 (April 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.1.176.11-18

Abstract

Weak local residual (WLR) detects the smoothness of numerical solutionsto conservation laws. In this paper we consider balance laws with a sourceterm, the shallow water equations (SWE). WLR is used as the refinement indicatorin an adaptive finite volume method for solving SWE. This is the first studyin implementing WLR into an adaptive finite volume method used to solve theSWE, where the adaptivity is with respect to its mesh or computational grids. Welimit our presentation to one-dimensional domain. Numerical simulations show theeffectiveness of WLR as the refinement indicator in the adaptive method.DOI : http://dx.doi.org/10.22342/jims.20.1.176.11-18
MORSE REDUCTION FOR ZIGZAG COMPLEXES Emerson Escolar; Yasuaki Hiraoka
Journal of the Indonesian Mathematical Society Volume 20 Number 1 (April 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.1.177.47-75

Abstract

A paper by Mischaikow and Nanda [14] uses filtered acyclic matchingsto form a Morse filtration for a filtered complex. The Morse filtration is smallerin size, yet has persistent homology equivalent to that of the original. We give anextension of acyclic matchings to the case of zigzag complexes and prove that theMorse zigzag complex similarly obtained has zigzag homology isomorphic to thatof the original. We present an algorithm to compute a Morse zigzag complex for agiven zigzag complex and some numerical examples. Since the Morse zigzag complexis smaller in size, calculations of its zigzag homology tend to complete faster thanthose for the original zigzag complex.DOI : http://dx.doi.org/10.22342/jims.20.1.177.47-75
EIGENVALUES AND EIGENVECTORS OF LATIN SQUARES IN MAX-PLUS ALGEBRA Muhammad Syifa’ul Mufid; Subiono -
Journal of the Indonesian Mathematical Society Volume 20 Number 1 (April 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.1.178.37-45

Abstract

A Latin square of order n is a square matrix with n different numberssuch that numbers in each column and each row are distinct. Max-plus Algebra isalgebra that uses two operations, ⊕ and ⊗. In this paper, we solve the eigenproblemfor Latin squares in Max-plus Algebra by considering the permutations determinedby the numbers in the Latin squares.DOI : http://dx.doi.org/10.22342/jims.20.1.178.37-45
THE GOODNESS OF LONG PATH WITH RESPECT TO MULTIPLE COPIES OF COMPLETE GRAPHS I Wayan Sudarsana
Journal of the Indonesian Mathematical Society Volume 20 Number 1 (April 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.1.179.31-35

Abstract

Abstract PDFDOI : http://dx.doi.org/10.22342/jims.20.1.179.31-35
ON WEAK CONVERGENCE OF THE PARTIAL SUMS PROCESSES OF THE LEAST SQUARES RESIDUALS OF MULTIVARIATE SPATIAL REGRESSION Wayan Somayasa
Journal of the Indonesian Mathematical Society Volume 20 Number 2 (October 2014)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.20.2.183.77-94

Abstract

A weak convergence of the sequence of partial sums processes of theresiduals (PSPR) when the observations are obtained from a multivariate spatiallinear regression model (SLRM) is established. The result is then applied in constructingthe rejection region of an asymptotic test of hypothesis based on a type ofCramer-von Mises functional of the PSPR. When the null hypothesis is true, we getthe limit process as a projection of the multivariate Brownian sheet, whereas underthe alternative it is given by a signal plus multivariate noise model. Examples ofthe limit process under the null hypothesis are also studied.DOI : http://dx.doi.org/10.22342/jims.20.2.183.77-94

Page 37 of 63 | Total Record : 625

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