62 results
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2. Linear programming problems with cube constraints.
- Author
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Lestari, Himmawati Puji, Caturiyati, and Harini, Lusi
- Subjects
- *
LINEAR programming , *MATHEMATICAL optimization , *CONVEX domains , *APPLIED mathematics , *CONSTRAINT programming , *CUBES , *CONVEX geometry - Abstract
Linear programming is one of the basic concepts to further study in applied mathematics and optimization. If the constraints of the linear programming problem form a convex region, then the problem must have an optimal solution. Cube is convex and, in terms of geometry, cube is very special. Cube has some special properties that all edges are congruent and also the all sides are congruent. Other special properties of the cube are related to orthogonality and parallelism. This paper discus linear programming problems with cube constraints. This research is study literature research to describe linear programming problems with cube constraints on geometrical angle. Considering the peculiarities of a cube, this linear programming problem must have an optimal solution. The results show the following points: 1) A cube is a convex polyhedron; 2) The steps for solving linear programming with cube constraints are analogous to the steps for solving linear programming in two dimensions using the graphical method, finding all the vertices of the cube and calculating the value of the objective function at all of the vertices, and then determining the vertex point that produces the optimal value; 3) The problem can have a unique solution (vertex) or have infinitely many solutions (the points along the edges or on the side planes of the cube). [ABSTRACT FROM AUTHOR]
- Published
- 2024
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3. Analysis of ill-conditioned cases of a mass moving on a sphere with friction.
- Author
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McDaniel, Terry W.
- Subjects
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CLASSICAL mechanics , *FRICTION , *NUMERICAL integration , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
Previous work treated the problem of a mass sliding over a rough spherical surface in broad generality, providing both analytic and numerical solutions. This paper examines special cases of 2D motion along a surface meridian when the initial speed is precisely chosen so that the sliding mass nearly stops before speeding up and subsequently leaving the surface. Carrying the solution for these critical cases into the time domain via both an analytical method and numerical integration adds richness that might otherwise be missed. The numerical method raises practical mathematical issues that must be handled carefully to obtain accurate results. Although conceptually simple, this classical mechanics problem is an excellent vehicle for students to gain proficiency with mathematical analysis tools and further their appreciation for how applied mathematics can bring new insight into situations where intuition may fall short. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
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4. Flow optimization in network systems with graph theory.
- Author
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Sitio, Bimo Chantio, Mawengkang, Herman, and Tulus
- Subjects
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SYSTEMS theory , *MATHEMATICAL optimization , *APPLIED mathematics , *OPERATIONS research , *COMPUTER science , *GRAPH theory - Abstract
Graph theory can be said as one of the branches of applied mathematics that is currently developing. A problem can be explained in detail by simplifying it with graph theory. This paper concerns with graphs that are used in everyday life as a network system to describe parts of a structure in order to make it simpler and easier to understand. The network flow system is then applied in many disciplines, including applied mathematics, computer science, operations research, management, and engineering. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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5. Academic english course for Russian students engaged in astrodynamics.
- Author
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Ovchinnikova, O. M.
- Subjects
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ASTRODYNAMICS , *PREREQUISITES (Education) , *APPLIED mathematics , *STUDENTS , *SPACE flight - Abstract
The paper summarizes the experience of teaching the academic English course to Russian students engaged in spaceflight dynamics studies at the Keldysh Institute of Applied Mathematics (KIAM) of RAS. Prerequisites for the course, methodological principles of teaching and some features of the course, as well as its perspectives, are described. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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6. Resonant collisions of high-order localized waves in the Maccari system.
- Author
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Cao, Yulei, Cheng, Yi, and He, Jingsong
- Subjects
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PLASMA physics , *NONLINEAR waves , *NONLINEAR optics , *APPLIED mathematics , *BILINEAR forms - Abstract
Exploring new nonlinear wave solutions to integrable systems has always been an open issue in physics, applied mathematics, and engineering. In this paper, the Maccari system, a two-dimensional analog of nonlinear Schr o ̈ dinger equation, is investigated. The system is derived from the Kadomtsev–Petviashvili (KP) equation and is widely used in nonlinear optics, plasma physics, and water waves. A large family of semi-rational solutions of the Maccari system are proposed with the KP hierarchy reduction method and Hirota bilinear method. These semi-rational solutions reduce to the breathers of elastic collision and resonant collision under special parameters. In case of resonant collisions between breathers and rational waves, these semi-rational solutions describe lumps fusion into breathers, or lumps fission from breathers, or a mixture of these fusion and fission. The resonant collisions of semi-rational solutions are semi-localized in time (i.e., lumps exist only when t → +∞ or t → −∞), and we also discuss their dynamics and asymptotic behaviors. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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7. Indian research in applied mathematics during 1996-2020: A bibliometric analysis.
- Author
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Batra, Shefali, Kumra, Neha, Dutt, Ishwar, Srivastav, Arun Lal, and Sharma, Sita Ram
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APPLIED mathematics , *SCIENCE publishing , *BIBLIOMETRICS - Abstract
In this paper, bibliometric analysis of scientific literature published during the period 1996-2020 in.the field of Applied Mathematics has been presented using Scopus linked SCImago country ranking database. Further, India's contribution at global level is highlighted in particular using key bibliometric indicators namely document published, citations (external/self) and citations per document along with their annual corresponding growth to validate the findings. India is growing exponentially and contributing 2.5% to global research output with average 11.63% of annual corresponding growth. In addition, citations (external/self) and citations per document show average annual corresponding growth within ±5%. The outcomes of this study could foster new policies and the improvement in existing policies for various research activities especially for India. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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8. Preface: Proceedings of the International Conference on Frontiers in Industrial and Applied Mathematics — FIAM 2022.
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CONFERENCES & conventions , *SCANNING probe microscopy , *APPLIED mathematics - Abstract
This document is a preface to the Proceedings of the International Conference on Frontiers in Industrial and Applied Mathematics (FIAM) 2022. The conference was organized and hosted by the Department of Mathematics at the Central University of Haryana, India. The objective of the conference was to present and discuss new research findings in the field of industrial and applied mathematics. The conference included 18 technical sessions and 30 invited talks, with 95 selected papers presented by researchers from India and foreign countries. The organizers express gratitude to the sponsors and participants for their contributions to the success of the event. [Extracted from the article]
- Published
- 2024
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9. Understanding the changes in ductility and Poisson's ratio of metallic glasses during annealing from microscopic dynamics.
- Author
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Wang, Z., Ngai, K. L., and Wang, W. H.
- Subjects
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MECHANICAL properties of condensed matter , *POISSON'S ratio , *APPLIED mathematics , *MICROSCOPICAL technique , *AMORPHOUS substances - Abstract
In the paper K. L. Ngai et al., [J. Chem. 140, 044511 (2014)], the empirical correlation of ductility with the Poisson's ratio, υPoisson, found in metallic glasses was theoretically explained by microscopic dynamic processes which link on the one hand ductility, and on the other hand the Poisson's ratio. Specifically, the dynamic processes are the primitive relaxation in the Coupling Model which is the precursor of the Johari–Goldstein β-relaxation, and the caged atoms dynamics characterized by the effective Debye–Waller factor f0 or equivalently the nearly constant loss (NCL) in susceptibility. All these processes and the parameters characterizing them are accessible experimentally except f0 or the NCL of caged atoms; thus, so far, the experimental verification of the explanation of the correlation between ductility and Poisson's ratio is incomplete. In the experimental part of this paper, we report dynamic mechanical measurement of the NCL of the metallic glass La60Ni15Al25 as-cast, and the changes by annealing at temperature below Tg. The observed monotonic decrease of the NCL with aging time, reflecting the corresponding increase of f0, correlates with the decrease of υPoisson. This is important observation because such measurements, not made before, provide the missing link in confirming by experiment the explanation of the correlation of ductility with υPoisson. On aging the metallic glass, also observed in the isochronal loss spectra is the shift of the β-relaxation to higher temperatures and reduction of the relaxation strength. These concomitant changes of the β-relaxation and NCL are the root cause of embrittlement by aging the metallic glass. The NCL of caged atoms is terminated by the onset of the primitive relaxation in the Coupling Model, which is generally supported by experiments. From this relation, the monotonic decrease of the NCL with aging time is caused by the slowing down of the primitive relaxation and β-relaxation on annealing, and vice versa. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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10. New exact solutions of nonlinear Schrödinger equation with extended rational sin–cos and sinh–cosh method.
- Author
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Ahmadi Karchi, Nikan, Ghaemi, Mohammad Bagher, and Vahidi, Javad
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NONLINEAR Schrodinger equation , *SCHRODINGER equation , *PARTIAL differential equations , *APPLIED mathematics , *CHEMICAL engineers , *CHEMICAL engineering - Abstract
This paper employs the extended rational sin–cos and sinh–cosh method to construct precise solutions to the nonlinear Schrödinger equation. It is illustrated that the proposed technique provides a foremost and effectual mathematical tool for solving numerous types of partial differential equations applied in mathematics, optics, physics, and chemical engineering. We obtain the consequences of periodic, dark, and bright solutions. Furthermore, we can imagine the acquired solutions by drawing two-dimensional and three-dimensional plots. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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11. Numerical simulation of two streamwise supersonic vortices interaction.
- Author
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Borisov, V. E., Davydov, A. A., Konstantinovskaya, T. V., Lutsky, A. E., Fomin, Vasily, and Shiplyuk, Alexander
- Subjects
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MACH number , *HIGH performance computing , *COMPUTER simulation , *APPLIED mathematics , *HYBRID systems - Abstract
In this paper we present a numerical study of two streamwise supersonic vortices interaction. A pair of vortices was generated by two coaxial straight wings with sharp leading and trailing edges. Mach number of incoming flow was M∞ = 3. Two configurations are considered: a pair of co-rotating vortices and a pair of counter-rotating vortices. In the case of counter-rotating vortices the wings attack angle was 10 degrees. In the case of co-rotating vortices the attack angle of one of the wings was 10 degrees, the attack angle of other one was -10 degrees. Numerical data were obtained in the domain of 10 wing chords downstream from a wings axis by a computational model based on the URANS equations with SA turbulence model. Numerical simulations were performed on the hybrid supercomputing system K-60 at the Keldysh Institute of Applied Mathematics RAS using the developed software package ARES for 3D turbulent flows modeling on high performance computing systems. This work is a continuation of the series of author's works dedicated to the supersonic wingtip vortices. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
12. Asymptotic Properties of Solutions of Nonlinear Systems of Dynamic Equations on Time Scales.
- Author
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Vítovec, Jiří
- Subjects
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NONLINEAR dynamical systems , *FUNCTIONS of bounded variation , *EQUATIONS , *DYNAMICAL systems , *APPLIED mathematics - Abstract
In this paper we study asymptotic properties of solutions of nonlinear dynamic systems on time scales of the form yΔ(t) = f(t, y(t)), where f: 핋 x ℝn → ℝn, and 핋 is a time scale. For a given set Ω ⊂ 핋 x ℝn, we formulate conditions for function f which guarantee that at least one solution y of the above system stays in Ω. Unlike previous papers, we assume the set Ω in more general shape or we formulate the conditions guaranteeing an existence of bounded solution in easier and better verifiable form. Thanks to this, we can find a wider range of equations with bounded solutions. The example illustrating this type of equations is added. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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13. Spectrum Analysis on Fisher-Kolmogorov-Petrovsky-Pischunov Equation Using Evans Function Approach.
- Author
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Lestari, I. I., Bachtiar, A. A., and Wibowo, A.
- Subjects
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EIGENVALUES , *APPLIED mathematics , *NUMERICAL solutions to equations , *DIFFERENTIAL equations , *MATHEMATICAL models of spectrum analysis - Abstract
The eigenvalue of a dynamical system can be used to determine the stability of such system. In general, the eigenvalues will form two kinds of spectrum, i.e. the continuous and point spectra. This paper will presents two methods for determining the spectrum of eigenvalues, i.e., the Sturm-Liouville Theory and the Evans function. In this paper we use the Fisher-Kolmogorov-Petrovsky--Pischunov equation, as well as the Newton Raphson and Runge Kutta methods for numerical calculations. [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF
14. Comments on the Epsilon and Omega cumulative distributions: "Saturation in the Hausdorff sense".
- Author
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Kyurkchiev, Nikolay and Slavova, Angela
- Subjects
- *
APPLIED mathematics , *DISTRIBUTION (Probability theory) , *RISK (Insurance) , *ACTUARIAL risk , *ASYMPTOTES - Abstract
In this paper we study the asymptotic behavior of the Hausdorff distance between Heaviside function and the Epsilon and Omega distribution functions, introduced in [24], [28]. Investigations of "saturation to the horizontal asymptote a = 1, in the Hausdorff sense" is important for professionals working in the field of financial mathematics. We prove precise bound d = ln m m + O (1 m) . One of the most significant goals of any insurance risk activity is to achieve a satisfactory model for the probability distribution of the total claim amount. The estimates for the value of the best Hausdorff approximation of Heaviside function by fixed cumulative distribution function give more insight on the parameters in the strategy "Insurance responsibility". The results are relevant for applied insurance mathematics. Numerical examples using CAS Mathematica, illustrating our results are given. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
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15. Applying Structural Mathematics in Physics: Case of Parallel Connection.
- Author
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Sokolowski, Andrzej
- Subjects
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PARALLEL electric circuits , *APPLIED mathematics , *ELECTRIC resistance , *PHYSICS education , *MATHEMATICAL domains , *MATHEMATICAL physics - Abstract
Research identifies two domains by which mathematics allows learning physics concepts: a technical domain that includes algorithmic operations that lead to solving formulas for an unknown quantity and a structural domain that allows for applying mathematical knowledge for structuring physical phenomena. While the technical domain requires employing only students' technical skills, the structural domain requires activating students' algebraic reasoning and applying it to learn more about physical systems beyond evaluating formulas. Students' technical skills in mathematics do not convert into structural skills automatically, and this is perceived as an obstacle that prevents complete appreciation of physics knowledge. There can be various ways to activate or to develop students' mathematical structural domain in physics. Most common are: (a) mathematical modeling that involves experimental activities concluding with algebraic relations; (b) stimulating students to work with symbols in limiting situations; or (c) developing the understanding of physics formulas (e.g., see Ref. 5). While all these methods are valuable, students still face difficulties with transferring their structural math skills to physics, thus new attempts are made. The process of developing students' algebraic structural skills proposed in this paper is a combination of the current approaches; however, as a means of developing mathematical reasoning, a mathematical structure is used that is derived from a physics formula. More specifically, this paper presents an attempt to interpret formula for the equivalent resistance of a parallel electric circuit using the properties of a rational function. Such formulated aim reflects not only recommendations of the physics education research community but also mathematics because it guides students in how to merge mathematical knowledge with the behavior of a physical system to learn more about the system. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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16. Stability of the Third Order Partial Differential Equations with Time Delay.
- Author
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Ashyralyev, Allaberen, Hincal, Evren, and Ibrahim, Suleiman
- Subjects
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PARTIAL differential equations , *APPLIED mathematics , *BOUNDARY value problems , *PARABOLIC differential equations , *DERIVATIVES (Mathematics) - Abstract
In the present paper, the initial value problem for the third order partial differential equations with time delay in a Hilbert space with self-adjoint positive definite operator is investigated. The main theorem on stability of this problem is established. The application of this theorem is presented. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
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17. Preface of the "2nd Edition of Mathematical Problems in Engineering".
- Author
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Collotta, Mario, Milazzo, Cristina L.R., and Orlando, Calogero
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ENGINEERING , *PROBLEM solving , *MATHEMATICAL analysis , *APPLIED mathematics , *COMPUTER engineering ,ENGINEERING conferences - Abstract
The second edition of the symposium on Mathematical Problems in Engineering focuses on new results of engineering researches carried out by using mathematical techniques. The aim of the Session is to collect relevant papers dealing with important approaches of applied mathematics, which have relevance to the engineering in the field of Computer Engineering, Engineering Applications of Aerospace and Intelligent Transportation Systems in order to create new collaborations between mathematicians and engineers. Papers are characterized by innovative models, methods and approaches that can found practical application to the engineering field or by new useful application of existing models to solve engineering problems. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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18. Parallelized Implementation of Dynamical Particle System.
- Author
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Mašek, Jan, Frantík, Petr, and Vořechovský, Miroslav
- Subjects
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DYNAMICAL systems , *SIMULATION methods & models , *CUDA (Computer architecture) , *APPLIED mathematics , *COMPUTER architecture - Abstract
The paper presents approaches to implementation of solution of discrete dynamical system of mutually repelling particles. Two platforms: a single-thread JAVA process and parallelized CUDA C solution, are employed for the dynamical simulation. Qualities of both platforms are discussed and explained as their performance when solving two proposed interaction laws is compared. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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19. On Some Recent Results in the Exact Controllability of Second Order Infinite Dimensional Semilinear Deterministic Systems.
- Author
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Klamka, Jerzy, Zawiski, Radosław, and Niezabitowski, Michał
- Subjects
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CONTROLLABILITY in systems engineering , *CONTROL theory (Engineering) , *DYNAMICAL systems , *APPLIED mathematics , *DYNAMICS - Abstract
This paper presents a short survey on the recent result in the area of exact controllability of selected types of second order semilinear infinite dimensional dynamical systems. In particular, it shows the current state of knowledge in the area of trajectory controllability, boundry controllability and impulsive controllability, all for deterministic systems. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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20. Some operational properties of the Laguerre transform.
- Author
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Rodrigues, M. M., Huy, V. N., and Tuan, N. M.
- Subjects
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LAGUERRE geometry , *LAGUERRE polynomials , *INTEGRAL transforms , *APPLIED mathematics , *HEAT conduction - Abstract
This paper is devoted to the study of some properties of the Laguerre transform.We define new properties of the Laguerre transform in a weighted L2-space. Moreover, we present some results concerning the action of this integral transform over some class of polynomials. [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF
21. Unidirectional semi-analytic continuation in the probabilistic evolution approach to Van der Pol equation.
- Author
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Hunutlu, Fatih and Baykara, N. A.
- Subjects
- *
PROBABILITY theory , *CONTINUATION methods , *VAN der Pol equation , *APPROXIMATION theory , *STOCHASTIC convergence , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
Probabilistic Evolution Approach (PEA) is a method recently developed for the solution of explicit ODEs. There is now a comprehensive knowledge accumulation for PEA. It is well known that the PEA truncation approximants converge to a unique limit representing the solution of the considered ODE in a finite region of the complex planes of the unknowns. The complement of the union of these regions to entire complex plane(s) is the subject of analytic continuation. In this paper we focus on this issue for the Van der Pol Equation. Paper gives the importance rather to the formalism and conceptuality. True implementations are left to future works. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
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22. Identifying partial topology of complex dynamical networks via a pinning mechanism.
- Author
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Zhu, Shuaibing, Zhou, Jin, and Lu, Jun-an
- Subjects
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DYNAMICAL systems , *SYNCHRONIZATION , *FEEDBACK control systems , *TOPOLOGY , *APPLIED mathematics - Abstract
In this paper, we study the problem of identifying the partial topology of complex dynamical networks via a pinning mechanism. By using the network synchronization theory and the adaptive feedback controlling method, we propose a method which can greatly reduce the number of nodes and observers in the response network. Particularly, this method can also identify the whole topology of complex networks. A theorem is established rigorously, from which some corollaries are also derived in order to make our method more cost-effective. Several numerical examples are provided to verify the effectiveness of the proposed method. In the simulation, an approach is also given to avoid possible identification failure caused by inner synchronization of the drive network. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
23. New Insights into Classical Solutions of the Local Instability of the Sandwich Panels Problem.
- Author
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Pozorska, Jolanta and Pozorski, Zbigniew
- Subjects
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SANDWICH construction (Materials) , *CLASSICAL solutions (Mathematics) , *DIFFERENTIAL equations , *ANALYTICAL solutions , *MATHEMATICAL analysis - Abstract
The paper concerns the problem of local instability of thin facings of a sandwich panel. The classic analytical solutions are compared and examined. The Airy stress function is applied in the case of the state of plane stress and the state of plane strain. Wrinkling stress values are presented. The differences between the results obtained using the differential equations method and energy method are discussed. The relations between core strain energies are presented. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
24. Advances in Santill's Isonumber Theory.
- Author
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Muktibodh, Arun S.
- Subjects
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EPOCHE , *PHENOMENOLOGY , *DYNAMICAL systems , *APPLIED mathematics , *GEOMETRY - Abstract
In this paper, we present a comprehensive study of Santilli's epoch making discoveries of isonumbers and their isoduals along with their application to isomechanics and its isodual for matter and antimatter, respectively [1]. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF
25. DERIVATIONS IN A TETRAHEDRON.
- Author
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Vladeva, Dimitrinka I. and Trendafilov, Ivan D.
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SEMIRINGS (Mathematics) , *ALGEBRA , *DERIVATIVES (Mathematics) , *MATHEMATICAL models , *APPLIED mathematics - Abstract
One of the natural questions which often appeared in algebra and analysis whether a map can be defined by its "local" properties. In this paper we consider maps which acts like a derivation on semirings of a special type. [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
26. On some unified integrals involving Fox's H-function.
- Author
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Ali, Shoukat
- Subjects
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H-functions , *GAMMA functions , *PARAMETER estimation , *NUMBER theory , *INTEGRALS , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
In a recent paper [On Some Unified Integrals, Advances in Comput. Math. and Its Applications, Vol. 1, No. 3, PP. 151-153 (2012)], the author has evaluated three very interesting integrals involving hypergeometric function in terms of gamma function. In this paper, three new unified integrals involving Fox's H-function have been evaluated. By specializing the parameters, we can easily obtain a large number of new and known integrals including one obtained earlier by Garg and Mittal. The results established in this paper are simple, interesting, easily established and may be useful. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
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27. Portfolio optimization using fuzzy linear programming.
- Author
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Pandit, Purnima K.
- Subjects
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MATHEMATICAL optimization , *APPLIED mathematics , *LINEAR programming , *PORTFOLIO management (Investments) , *FUZZY numbers - Abstract
Portfolio Optimization (PO) is a problem in Finance, in which investor tries to maximize return and minimize risk by carefully choosing different assets. Expected return and risk are the most important parameters with regard to optimal portfolios. In the simple form PO can be modeled as quadratic programming problem which can be put into equivalent linear form. PO problems with the fuzzy parameters can be solved as multi-objective fuzzy linear programming problem. In this paper we give the solution to such problems with an illustrative example. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
28. The fractional transportation problem with interval demand, supply and costs.
- Author
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Kocken, Hale Gonce, Emiroğlu, İbrahim, Güler, Coşkun, Taşçı, Fatih, and Sivri, Mustafa
- Subjects
- *
INTERVAL analysis , *TAYLOR'S series , *OPERATIONS research , *APPLIED mathematics , *MATHEMATICAL optimization - Abstract
The data of real world applications generally cannot be expressed strictly. An efficient way of handling this situation is expressing the data as intervals. Thus this paper focuses on the Interval Fractional Transportation Problem (IFTP) in which all the parameters i.e. cost and preference coefficients of the objective function, supply and demand quantities are expressed as intervals. A Taylor series approach is presented for IFTP by means of the expression of intervals with its left and right limits. Also a numerical example is executed for the linear case to illustrate the procedure. [ABSTRACT FROM AUTHOR]
- Published
- 2013
- Full Text
- View/download PDF
29. Multi-dimensional linear stability analysis of S-ROCK methods for Itô stochastic differential equations.
- Author
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Komori, Yoshio and Burrage, Kevin
- Subjects
- *
STABILITY of linear systems , *NUMERICAL solutions to stochastic differential equations , *CHEBYSHEV systems , *NUMERICAL solutions to equations , *NUMERICAL analysis , *EXISTENCE theorems , *APPLIED mathematics - Abstract
In this paper, stochastic orthogonal Runge-Kutta Chebyshev methods are dealt with for strong approximations to solutions of Itô stochastic differential equations (SDEs). Recently, strong first order methods for non-commutative Itô SDEs have been proposed by the present authors. It is known that when the number of stages is large, the methods have very large stability domains in mean square (MS) for a scalar linear test equation. On the other hand, Buckwar and Sickenberger (2012) have recently proposed MS stability analyses for systems of Itô SDEs. Our aim is to investigate MS stability properties of these methods and other existing numerical schemes by their approach. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
30. Virtual stability: A general complex systems principle?
- Author
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Voorhees, Burton
- Subjects
- *
STABILITY theory , *CONTROL theory (Engineering) , *CALORIC expenditure , *MATHEMATICAL models , *APPLIED mathematics , *MATHEMATICAL analysis , *SYSTEMS theory - Abstract
This paper presents the concept of virtual stability, suggested as a fundamental characteristic of complex adaptive systems. A complex adaptive system is in a virtually stable state if, through self-monitoring and adaptive control, it maintains itself in a configuration or state that would otherwise be unstable. The energy expenditure required in order to sustain this condition gains the advantage of greater behavioral flexibility in the face of random environmental contingencies. A toy population model illustrating virtual stability is described. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
31. Bernoulli polynomial approach to high-order linear differential-difference equations.
- Author
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Erdem, Kübra and Yalçinbaş, Salih
- Subjects
- *
BERNOULLI polynomials , *LINEAR systems , *NUMERICAL solutions to differential equations , *APPROXIMATION theory , *MATHEMATICAL variables , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
In this paper, a Bernoulli matrix method is developed to find an approximate solution of high-order linear differential-difference equations with variable coeffcients under the mixed conditions. The solution is obtained in terms of Bernoulli polynomials. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
32. Extractor of software networks from enriched concrete syntax trees.
- Author
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Savic, Milosˇ, Rakic, Gordana, Budimac, Zoran, and Ivanovic, Mirjana
- Subjects
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COMPUTER software , *COMPUTER networks , *SYNTAX in programming languages , *ISOMORPHISM (Mathematics) , *COMPUTER programming , *FORMAL languages , *APPLIED mathematics - Abstract
Software networks are directed graphs of dependencies among entities (packages, classes, methods, etc.) found in a software system. These structures are used to study organizational software complexity and evolution. In this paper the prototype of software networks extractor - SNEIPL is described. SNEIPL uses enriched concrete syntax tree (eCST) representation of a source code. The benefit of such representation is that it enables independency of programming language. First experiences using SNEIPL showed that it correctly extracted isomorphic software networks from the source code of two structurally and semantically equivalent programs written in different programming languages. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
33. Landmark-based image registration using Gneiting's compactly supported functions.
- Author
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Cavoretto, Roberto and De Rossi, Alessandra
- Subjects
- *
IMAGE registration , *RADIAL basis functions , *GLOBAL analysis (Mathematics) , *MATHEMATICAL transformations , *NUMERICAL analysis , *APPLIED mathematics , *COMPARATIVE studies - Abstract
In this paper we consider landmark-based image registration with compactly supported radial basis functions. Since using globally supported functions, as for example radial basis functions, a single landmark pair change may influence the whole registration result, in 2001 Fornefett et al. introduced the use of Wendland's compactly supported functions to define landmark-based image transformations [6]. Here we propose transformations defined by means of another family of compactly supported radial basis functions, known as Gneiting's functions [7, 5]. Firstly, we briefly review their definitions and properties. Secondly, numerical experiments are presented, where we compare Gneiting's functions with other interpolants. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
34. On a special finite element based on holomorphic functions.
- Author
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Bock, S., Gürlebeck, K., and Legatiuk, D.
- Subjects
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FINITE element method , *HOLOMORPHIC functions , *NUMERICAL solutions to boundary value problems , *MATHEMATICAL singularities , *FRACTURE mechanics , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
The idea of this paper is to discuss some problems in coupling of analytical solutions and the finite element method for boundary value problems with a singularity. As an example we consider a problem from fracture mechanics in the plane. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
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35. Confidence regions for variance components using inducing pivot variables.
- Author
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Ferreira, Dário, Ferreira, Sandra S., and Nunes, Célia
- Subjects
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MATHEMATICAL variables , *MULTILEVEL models , *PROBABILITY theory , *MEASURE theory , *LINEAR systems , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
The goal of this paper is to present what we think to be an interesting development of the concept of pivot variable. The inducing pivot variables induce probability measures which may be used to carry out inference. As illustration of this approach we will show how to obtain confidence intervals for the variance components of mixed linear models [ABSTRACT FROM AUTHOR]
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- 2012
- Full Text
- View/download PDF
36. An approximation of stochastic telegraph equations.
- Author
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Ashyralyev, Allaberen and Akat, Muzaffer
- Subjects
- *
APPROXIMATION theory , *STOCHASTIC systems , *NUMERICAL solutions to equations , *STOCHASTIC convergence , *ESTIMATION theory , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
In the present paper the two-step difference scheme for the telegraph equation is presented. The convergence estimate for the solution of the difference scheme is established. In applications, the convergence estimates for the solution of difference scheme for the numerical solution of two problems for hyperbolic equations are obtained. The theoretical statements for the solution of this difference scheme are supported by the results of the numerical experiment. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
37. Some topological and geometric properties of sequence spaces involving lacunary sequence in n-normed spaces.
- Author
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Konca, Şükran and Öztürk, Mahpeyker
- Subjects
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TOPOLOGICAL spaces , *MATHEMATICAL sequences , *FUNCTION spaces , *LINEAR systems , *GEOMETRY , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
The aim of this paper is to study subsets of real linear n-normed spaces involving lacunary sequence and examine some topological and geometric properties of these sequence spaces. [ABSTRACT FROM AUTHOR]
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- 2012
- Full Text
- View/download PDF
38. Solutions behavior of the system of rational difference equations xn+1 = <FRACTION><NUM>a</NUM><DEN>xn+yn</DEN></FRACTION>, yn+1 = <FRACTION><NUM>byn</NUM><DEN>xn</DEN></FRACTION>.
- Author
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Kadry, Seifedine and Joumaa, Chibli
- Subjects
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NUMERICAL solutions to difference equations , *STOCHASTIC convergence , *DIVERGENCE theorem , *SYSTEMS theory , *FRACTIONS , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
In this paper, we study the convergence and divergence of the positive solutions of the system of difference equations, xn+1 =
, yn+1 =a xn+yn where x0,y0,a,b∈[0∞). [ABSTRACT FROM AUTHOR]byn xn - Published
- 2012
- Full Text
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39. Solving systems of inequalities and equalities by a nonmonotone hybrid tabu search method.
- Author
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Ramadas, Gisela C. V. and Fernandes, Edite M. G. P.
- Subjects
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MATHEMATICAL inequalities , *MONOTONE operators , *GLOBAL optimization , *ALGORITHMS , *NUMERICAL analysis , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
This paper presents a derivative-free nonmonotone hybrid tabu search to compute a solution of overdetermined systems of inequalities and equalities through the global optimization of an appropriate merit function. The proposed algorithm combines global and local searches aiming to reduce computational effort. Preliminary numerical results show the effectiveness of the combined heuristic. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
40. Center and focus problem and Hopf bifurcation for planar polynomial systems.
- Author
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Han, Maoan
- Subjects
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HOPF bifurcations , *POLYNOMIALS , *SYSTEMS theory , *LIMIT theorems , *NUMBER theory , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
In this paper we introduce some methods on the problem of distinguishing between a center and a focus and the theory of Hopf bifurcation for polynomial systems on the plane, and pose some open problems on the number of limit cycles. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
41. Dynamics of time-dependent conformally breathing billiards.
- Author
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Batistic, Benjamin and Robnik, Marko
- Subjects
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CHAOS theory , *DYNAMICAL systems , *PARTICLES (Nuclear physics) , *LINEAR systems , *QUANTUM theory , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
The result of the general theory of the velocity dynamics of time-dependent chaotic billiards, according to the theory of Gelfriech and Turaev (2008), is that the average velocity of an ensemble of particles in a generic time-dependent billiard grows linearly with time [1]. This paper deals with the class of conformally driven time-dependent chaotic billiards which do not satisfy the assumptions of the theory about the properties of a generic system, which is analyzed in details. It is shown why the average velocity of an ensemble of conformally breathing billiards grows as ν∝t1/5. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
42. Further results on partition dimension of corona products.
- Author
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Darmaji and Baskoro, Edy Tri
- Subjects
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GRAPH theory , *GRAPH coloring , *DIMENSIONAL analysis , *GRAPH connectivity , *PATHS & cycles in graph theory , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
The problem of finding of the partition dimension for a general graph is an NP-hard problem. Therefore, many studies of partition dimension of graphs are focused on particular classes of graphs. In this paper, we are interested in determining the partition dimension for the resulting graphs produced by the corona product between two graphs. In specific, we consider the partition dimension of the corona graphs K1⊙mKn, Pm⊙K1,n and K1,m⊙Kn where Pm,K1,n and Kn are a path order m, a star order n+1 and a complete graph order n, respectively. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
43. Profit sharing ratio modeling for islamic hire-purchase contract: Robust optimization and chance constraint approach.
- Author
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Halim, Nurfadhlina Abdul, Jaaman, Saiful Hafizah, Ismail, Noriszura, and Ahmad, Rokiah
- Subjects
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PROFIT-sharing , *MATHEMATICAL models , *CONDITIONAL sales , *MATHEMATICAL optimization , *STOCHASTIC programming , *NUMERICAL analysis , *APPLIED mathematics - Abstract
This paper presents an approach which maximizes the profits of Islamic hire-purchase contract named Al-Ijarah Thumma Al-Bai' or AITAB. Details of modus operandi for the AITAB contract and the optimization model for profit sharing ratio determination using stochastic programming is the result of this study. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
44. Multi-centered metric on (n+1)-dimensional static spacetimes.
- Author
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Wahyoedi, Seramika Ari and Gunara, Bobby Eka
- Subjects
- *
SPACETIME , *DIMENSIONAL analysis , *RIEMANNIAN manifolds , *OPERATOR theory , *HYPERBOLIC geometry , *SET theory , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
In this paper, we construct explicitly a multi-centered metric in (n+1)-dimensional static spacetimes which belong to a class of (pseudo)-Riemannian manifolds. Our starting point is to embed an n-dimensional complete manifold into an (n+1)-dimensional manifold which admits a timelike Killing vector. Then, the scalar curvature depends on the Laplace-Beltrami operator of the n-dimensional submanifold. This operator is set to be equals to the linear combination of the Dirac-delta function on the submanifold which can be thought of as remove points on (n+1)-dimensional manifold. Using completeness of the n-dimensional submanifold it can be shown that the solution does indeed exist. As an example we give the explicit form for flat Euclidean geometries, sphere, and hyperbolic geometries. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
45. Struggles with the beginnings of a national curriculum in the United States.
- Author
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Lott, Johnny W.
- Subjects
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NATIONAL curriculum , *SECONDARY education , *APPLIED mathematics , *MATHEMATICAL analysis - Abstract
Over 100 years ago, E. H. Moore (1903), in his presidential address to the Mathematical Association of America, called for a unified mathematics curriculum built around the notion of functions but rejecting a completely axiomatic approach at the secondary level. Moore's address followed a major move to standardize the secondary school curriculum in 1894 in the report of the 'Committee of Ten.' Successive other calls for change and unification came across the decades but until 1989, the United States had little national direction about what the mathematics curriculum either could or should be at the pre-collegiate level. Since 1989, there has been a growing move to establish a national curriculum for the country, but the move continues to struggle. This paper outlines some of the recent history of the movement and suggests some barriers still in the way of achieving it. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
46. Differential attack on mini-AES.
- Author
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Ajeng Gemellia, Asadini Dwi and Indarjani, Santi
- Subjects
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ALGORITHMS , *PROBABILITY theory , *CRYPTOGRAPHY , *PARAMETER estimation , *COMPARATIVE studies , *MATHEMATICAL analysis , *APPLIED mathematics - Abstract
This paper presents the results of differential attack on Mini-AES algorithm. The differential trails are constructed using all combinations of propagation ratio without repetition. To give practical results, we implement the key extraction for differential characteristics which have the highest and lowest probability as a comparison. Based on total propagation ratio and complexity resulted, Mini-AES algorithms are vulnerable to differential attack. The best differential characteristic is the differential characteristic using a single active s-box with the propagation ratio of 8 / 16. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
47. H-magic covering on some classes of graphs.
- Author
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Roswitha, Mania and Baskoro, Edy Tri
- Subjects
- *
GRAPH theory , *ISOMORPHISM (Mathematics) , *GRAPH labelings , *PROOF theory , *APPLIED mathematics , *PATHS & cycles in graph theory , *MATHEMATICAL analysis - Abstract
For a graph G(V,E), an edge-covering of G is a family of different subgraphs H1,...Hk such that any edge of E belongs to at least one of the subgraphs Hi, 1 ≤ i ≤ k. If every Hi is isomorphic to a given graph H, then G admits an H-covering. Graph G is said to be H-magic if G has an H-covering and there is a total labeling f:V∪E→{1,2,...|V|+|E|} such that for each subgraph H′ = (V′,E′) of G isomorphic to H,ΣνƸV′f(ν)+ΣeƸE′f(e) is fixed constant. Furthermore, if f(V) = }1,2,...|V|{ then G is called H-supermagic. The sum of all vertex and edge labels on H, under a labeling f, is denoted by Σf(H). In this paper we study H-supermagic labeling for some classes of trees such as a double star, a caterpillar, a firecracker and a banana tree. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
48. On Ramsey (3K2,P3)-minimal graphs.
- Author
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Muhshi, Hadi and Baskoro, Edy Tri
- Subjects
- *
GRAPH theory , *MATHEMATICAL notation , *RAMSEY theory , *GRAPH coloring , *PROBLEM solving , *MATHEMATICAL analysis , *APPLIED mathematics - Abstract
For any given two graphs G and H, we use the notation F→(G,H) to mean that in any red-blue coloring of the edges of F, the following must hold: F contains either a red subgraph G or a blue subgraph H. A graph F is a Ramsey (G,H)-minimal graph if F→(G,H) but F*↛(G,H) for any proper subgraph F* of F. Let R(G,H) be the class of all Ramsey (G,H)-minimal graphs. In this paper, we derive the properties of graphs belonging to R(3K2,P3). By using these properties we determine all graphs belonging to this class. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
49. Numerical solution of FIE of the second kind with Cauchy kernel.
- Author
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Eshkuvatov, Z. K., Abdulkawi, M., and Nik Long, N. M. A.
- Subjects
- *
MATHEMATICAL functions , *SINGULAR integrals , *CHEBYSHEV polynomials , *NUMERICAL solutions to integral equations , *APPROXIMATION theory , *NUMERICAL analysis , *APPLIED mathematics - Abstract
In this paper, we present numerical method for solving the Fredholm Integral Equation of the second kind with Cauchy kernel. The weighted Chebyshev polynomials of the second kind are used to approximate the unknown function. Inconstant coefficients are approximated by Chebyshev polynomials of the first kind. Special type of regular integrals are computed analytically. Finally, numerical results show the exactness and accuracy of the numerical method presented. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
50. A characterization of the corona product of a cycle with some graphs based on its f-chromatic index.
- Author
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Adiwijaya, Salman, A. N. M., Suprijanto, Djoko, and Baskoro, Edy Tri
- Subjects
- *
GRAPH theory , *GRAPH coloring , *GENERALIZATION , *PROBLEM solving , *MAXIMA & minima , *APPLIED mathematics , *NUMERICAL analysis - Abstract
An f-coloring of graph G(V,E) is a generalized edge-coloring such that every vertex ν in V has at most f(ν) edges colored with a same color. There are many applications of the f-coloring, for instance we can use it in order to solve some scheduling problems and some network design problems. The minimum number of colors needed to f-color G is called an the f-chromatic index of G, denoted by χ′f(G). Any graph G has f-chromatic index equal to Δf(G) or Δf(G)+1, where Δf(G) = maxνƸV{[ceiling_left]d(ν)/f(ν)[ceiling_right]}. G is called in the class-1, denoted by G Ƹ Cf 1, if χ′f(G) = Δf(G); otherwise G is called in the class-2, denoted by G Ƹ Cf 2. In this paper, we show that the corona product of Cn with Sm is in Cf 1. Besides that, we characterize the corona product of Cn with either Wn or Kn based on f-coloring. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
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