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Journal articles on the topic 'Mathematical software problems'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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1

Pruess, Steven, and Charles T. Fulton. "Mathematical software for Sturm-Liouville problems." ACM Transactions on Mathematical Software 19, no. 3 (1993): 360–76. http://dx.doi.org/10.1145/155743.155791.

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2

Chizhukhin, G. N., Yu G. Bochkareva, and O. V. Kulagin. "Mathematical Problems of Information Protection in Software." Telecommunications and Radio Engineering 68, no. 13 (2009): 1161–68. http://dx.doi.org/10.1615/telecomradeng.v68.i13.40.

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3

Rakhmatov, Dilmurod. "PROBLEMS IN MATHEMATICAL THEOREMS AND SOFTWARE TECHNOLOGY." PHYSICAL AND MATHEMATICAL SCIENCES 3, no. 1 (2020): 19–22. http://dx.doi.org/10.26739/2181-0656-2020-3-4.

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4

Lutovac, Miroslav, and Dejan Tosic. "Symbolic signal processing and system analysis." Facta universitatis - series: Electronics and Energetics 16, no. 3 (2003): 423–31. http://dx.doi.org/10.2298/fuee0303423l.

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We present new software in MATLAB and Mathematica for symbolic signal processing and system analysis. Our mission is to encapsulate high-tech engineering and sophisticated mathematical knowledge into easy-to-use software that effectively solves practical problems.

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5

Syahmarani, Aghni, and Putri Khairiah Nasution. "Training in using maple and geogebra software for mathematics teachers in the environment SMA Negeri 15 Medan." ABDIMAS TALENTA: Jurnal Pengabdian Kepada Masyarakat 5, no. 1 (2020): 13–18. http://dx.doi.org/10.32734/abdimastalenta.v5i1.4019.

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Currently there are lots of softwares to solve problems including math problems. Mathematics teachers are now starting to be demanded to be able to operate some mathematical software to be considered capable of adapting to scientific developments, especially information technology at this time. For this reason training is needed for mathematics teachers so that they can master some mathematical software so that they become professional and more competent teachers. Dedication to this community will provide training to mathematics teachers, especially mathematics teachers in SMA Negeri 15 Medan to be able to use two pieces of mathematical software namely MAPLE and GEOGEBRA so that the competencies of these mathematics teachers increase and be more updated with technology.

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6

Kim, Youngdae, and Michael C. Ferris. "Solving equilibrium problems using extended mathematical programming." Mathematical Programming Computation 11, no. 3 (2019): 457–501. http://dx.doi.org/10.1007/s12532-019-00156-4.

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7

Bessonov, O. A., and N. A. Kharchenko. "Software Platform for Supercomputer Modeling of Aerothermodynamics Problems." Programmnaya Ingeneria 12, no. 6 (2021): 302–10. http://dx.doi.org/10.17587/prin.12.302-310.

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Numerical solution of aerothermodynamics problems requires a lot of processor time, and for this reason, the numerical codes for such simulations must be efficiently parallelized. This paper presents a software platform based on a technological approach that greatly simplifies the parallelization of problems with unstructured grids. The paper formulates the principle of a unified mathematical address space of the problem for all used cluster nodes. The formalization of the presented technological approach and the implementation of its software basis in the form of data structures, exchange routines and work rules form a software platform on the basis of which parallel computational programs can be built. This approach is implemented and tested for the problem of modeling the characteristics of aircrafts, but it can be applied to other problems using unstructured grids with one-dimensional cell numbering. In this case, the physical and mathematical specifics of the problem are not important. Parallelization of the code with the new approach is carried out with minimal effort, without changing the main parts of the program. As a result, a single computational code can be created for all regimes — sequential, multi-threaded, and cluster. The performance results obtained with the new code confirm the good scalability of the parallelization method.

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Ray, Gautam. "Computer Aided Problem Based Learning in Engineering Dynamics." Applied Mechanics and Materials 704 (December 2014): 148–53. http://dx.doi.org/10.4028/www.scientific.net/amm.704.148.

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In this paper we demonstrated the use of Problem Based Learning (PBL) in undergraduate Engineering Dynamics. In PBL, the students enhance their learning by solving problems. In some engineering courses, often the students are not able to explore real life and somewhat complex problems due to inability to handle the mathematical rigor. By using software such as Mathematica® we created modules for some Engineering Dynamics problems. These modules allowed students to concentrate on the formulation and “Physics” and interpretation of the problems of the rather than the rigors of mathematical solutions.

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9

Kastornova, Vasilina. "Recursion as a Mathematical Problems Solving Method Using Instrumental Software Resources." Russian Digital Libraries Journal 23, no. 1-2 (2020): 72–82. http://dx.doi.org/10.26907/1562-5419-2020-23-1-2-72-82.

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The article discusses the recursive ratios implementation in solving mathematical problems using instrumental software resources. It is emphasized that programs development for solving such problems contributes to a deeper understanding of the recursion process essence.

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10

Kalantarnia, Zahra, Mohsen Rostamy-Malkhalifeh, Ahmad Ahmad Shahvarani, and Mohammad-Hassan Behzadi. "The study of application of algebrator software for mathematical problems solving." Mathematics Education Trends and Research 2012 (2012): 1–7. http://dx.doi.org/10.5899/2012/metr-00003.

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11

Kachiashvili, K. J., and D. I. Melikdzhanian. "Software realization problems of mathematical models of pollutants transport in rivers." Advances in Engineering Software 40, no. 10 (2009): 1063–73. http://dx.doi.org/10.1016/j.advengsoft.2009.03.016.

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12

Tischendorf, C., and D. Est�vez Schwarz. "Mathematical Problems in Circuit Simulation." Mathematical and Computer Modelling of Dynamical Systems 7, no. 2 (2001): 215–23. http://dx.doi.org/10.1076/mcmd.7.2.215.3647.

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13

Voisei, M. D. "Mathematical Programming Problems Governed by Nonlinear Elliptic PDEs." SIAM Journal on Optimization 18, no. 4 (2008): 1231–49. http://dx.doi.org/10.1137/050635730.

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14

Гулевська, К. В., Л. О. Шумова, and В. І. Мохонько. "Mathematical model of diffusion process for solving hydroecological problems." ВІСНИК СХІДНОУКРАЇНСЬКОГО НАЦІОНАЛЬНОГО УНІВЕРСИТЕТУ імені Володимира Даля, no. 5(253) (September 5, 2019): 44–46. http://dx.doi.org/10.33216/1998-7927-2019-253-5-44-46.

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The article discusses the actual tasks of adaptive control of local water treatment plants to ensure the rational use of water. The software solutions for modeling the diffusion process in a porous medium with the absorption of a diffusing substance on the pore surface are considered in detail.

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15

Semenikhina, Olena, Volodymyr Proshkin, and Olha Naboka. "Application of Computer Mathematical Tools in University Training of Computer Science and Mathematics Pre-service Teachers." International Journal of Research in E-learning 6, no. 2 (2020): 1–23. http://dx.doi.org/10.31261/ijrel.2020.6.2.06.

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The requirements for the training of mathematics and computer science teachers to use specialized mathematical software in professional activities are substantiated in the article. Among them: the ability to creatively choose the forms and methods of teaching for the use of specialized software; ability to find non-standard or creative mathematical problems; ability to make an informed choice of specialized software; ability to see possible ways to check the result obtained by the pupil; the ability to eliminate common mistakes when pupils use computer tools, etc. The specialized mathematical software, which is used today in mathematical training of mathematics and computer science teachers in Ukraine, has been specified. The specialized mathematical software which is used today for teaching mathematics in schools of Ukraine is given. The analysis of computer tools used by the teacher in the most common mathematical software is carried out. The most urgent problems faced by mathematics teachers in their professional activities are highlighted. The experiment with ninth-grade pupils proved the positive impact of using dynamic geometry software and appropriate mathematical tools on the level of pupils’ mathematical training, which is reason to talk about the importance of computer science and mathematics pre-service teacher training to involve such tools in professional activities. Prospects for further research in the direction of developing methods for using computer mathematical tools in a research-based learning environment are presented.

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16

Rešić, Sead, Marina Šušnja, Ahmed Palić, and Edisa Korda. "FMSLOGO AND SOLVING GEOMETRY PROBLEMS USING THE FMSLOGO SOFTWARE PACKAGE." Journal Human Research in Rehabilitation 10, no. 1 (2020): 58–69. http://dx.doi.org/10.21554/hrr.042007.

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This paper presents stereometry (prism) using the software “FMSLogo”, as well as its application and implementation in mathematics teaching. The introductory section describes how to approach mathematical problems according to George Polya. The following describes the creation, installation and use of the “FMSLog” software. At the very end of the paper are the research settings and its results, which through the empirical model shows the current state of affairs and therefore provides recommendations for its improvement.

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17

Matúšová, Miriam, Erika Hrušková, and Karol Velíšek. "Analyse of Flexible Assembly Cell via Software Witness." Applied Mechanics and Materials 120 (October 2011): 65–69. http://dx.doi.org/10.4028/www.scientific.net/amm.120.65.

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This Computer simulation models allow to solve the problems by their complexity beyond the capacity of other mathematical and analytical methods. WITNESS is suitable software for simulation and optimization of production, service and logistics systems.

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18

Tikhomirov, S. G., O. V. Karmanova, Y. V. Pyatakov, and A. A. Maslov. "The software package for solving problems of mathematical modeling of isothermal curing process." Proceedings of the Voronezh State University of Engineering Technologies, no. 3 (January 1, 2016): 93–99. http://dx.doi.org/10.20914/2310-1202-2016-3-93-99.

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19

Tikhomirov, S. G., O. V. Karmanova, Y. V. Pyatakov, and A. A. Maslov. "The software package for solving problems of mathematical modeling of isothermal curing process." Proceedings of the Voronezh State University of Engineering Technologies, no. 3 (January 1, 2016): 93–99. http://dx.doi.org/10.20914/2310-1202-2016-3-99.

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20

Lee, Ang Wee, Nayef Mohamed Ghasem, and Mohamed Azlan Hussain. "Utilization of Mathematical Software Packages in Chemical Engineering Research." ASEAN Journal of Chemical Engineering 5, no. 2 (2005): 125. http://dx.doi.org/10.22146/ajche.50180.

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Using Fortran taken as the starting point, we are now on the sixth decade of high-level programming applications. Among the programming languages available, computer algebra systems (CAS) appear to be a good choice in chemical engineering can be applied easily. Until the emergence of CAS, the assistance from a specialized group for large-scale programming is justified. Nowadays, it is more effective for the modern chemical engineer to rely on his/her own programming ability for problem solving. In the present paper, the abilities of Polymath, Maple, Matlab, Mathcad, and Mathematica in handling differential equations are illustrated for differential-algebraic equations, large system of nonlinear differential equations, and partial differential equations. The programming of solutions with these CAS are presented, contrasted, and discussed in relation to chemical engineering problems. Keywords: Computer algebra systems (CAS),computer simulation,Mathcad, Mathematica,Mathlab and numerical methods.

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21

Marpaung, Marwan, Ani Minarni, and Togi Panjaitan. "The Effect of Mathematics Realistic Education Aided by Mathematics Software towards the Process of Solving Mathematical Communication Problems of Junior High School Students." Budapest International Research and Critics in Linguistics and Education (BirLE) Journal 3, no. 3 (2020): 1445–55. http://dx.doi.org/10.33258/birle.v3i3.1213.

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One factor that has a big influence on mathematics learning outcomes and how students provide solutions to mathematical problems, among others, is the learning factor as well as initial mathematical knowledge (IMK). So, the objectives of the research are to find out: (1) the influence of the Realistic Mathematics Education (RME) Approach aided by Microsoft Mathematics software on students' mathematical communication ability (MCA), (2) an interaction between IMK and RME approach to mathematical communication ability, (3) the students' completion process in solving mathematical communication problems. The third objective is very important because it can reveal whether horizontal and vertical mathematization as the ideas of RME benefit the students. The results of the research show that: (1) there is a significant effect of the RME Approach aided by Mathematics software on students' mathematical communication ability, (2) there is no significant interaction between the initial mathematical knowledge and the learning approach to students' mathematical communication ability, (3) the students' completion process in solving mathematical communication problems attain the "good" category.

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22

Cordova, Jose L. "Mathematical proofs as graph search problems in theory courses." ACM SIGCSE Bulletin 31, no. 1 (1999): 110–13. http://dx.doi.org/10.1145/384266.299707.

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23

Scherbakov, Alexander G., and Olga V. Arkhipova. "The problems of using Autonomous power plants based on induction machines with short-circuit rotor." Yugra State University Bulletin 12, no. 3 (2016): 97–103. http://dx.doi.org/10.17816/byusu201612397-103.

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This article describes the mathematical model of the Autonomous power supply system based on asynchronous generator and the description of a software product that implements the proposed mathematical model.

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24

Ibrahim, Moukouop Nguena, and Ngassa Kaam Cedric. "Mathematical Model and Algorithms for some Type of Concurrency Control Problems in Database Applications." International Journal of Software Engineering and Its Applications 12, no. 2 (2018): 31–46. http://dx.doi.org/10.14257/ijseia.2018.12.2.03.

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25

Pyatkov, S. G., and S. N. Shergin. "Inverse Problems for Some Sobolev-Type Mathematical Models." Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 9, no. 2 (2016): 75–89. http://dx.doi.org/10.14529/mmp160207.

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26

Niess, Margaret L., Pejmon Sadri, and Kwangho Lee. "Mathematical Explorations: Variables and Spreadsheets Connect with Real-World Problems." Mathematics Teaching in the Middle School 13, no. 7 (2008): 423–31. http://dx.doi.org/10.5951/mtms.13.7.0423.

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Spreadsheet software is generally available in schools and is in wide-spread use in business. The use of spreadsheets can help students make mathematical connections with problems in the world around them. Many real-life quantitative problems require algebra for decision making. Examples include the impact of rising gas prices on family budgets; the amount of gasoline left in the tank of a car and the distance to the nearest gas station; and the level of monthly income versus money needed to pay for food, rent, utilities, and clothing. Although these issues do not require complex mathematics, they do require knowledge of basic algebra involving variables and equations.

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27

Toyirov, A., N. Tuxtayeva, and B. Toyirova. "THE USAGE OF SOFTWARE PRODUCTS TO TEACHING MATHEMATICAL KNOWLEDGE TO PRESCHOOLERS: PROBLEMS AND SOLUTION." JOURNAL OF INNOVATIONS IN PEDAGOGY AND PSYCHOLOGY 3, no. 1 (2019): 29–34. http://dx.doi.org/10.26739/2181-9513-2019-3-7.

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28

Ito, Kazufumi, and Karl Kunisch. "A Sequential Method for a Class of Stable Mathematical Programming Problems." SIAM Journal on Optimization 26, no. 2 (2016): 1262–92. http://dx.doi.org/10.1137/140985597.

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29

Shirokova, Olga. "Object-Oriented Projects With the Creation of Classes for Mathematical Objects." Russian Digital Libraries Journal 23, no. 1-2 (2020): 216–23. http://dx.doi.org/10.26907/1562-5419-2020-23-1-2-216-223.

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30

Lyra, Marcelo Simplício de, and Thiago Alves de Queiroz. "PROGRAMAÇÃO LINEAR: UMA CONTEXTUALIZAÇÃO A PARTIR DE SISTEMAS LINEARES." Ciência e Natura 37 (August 7, 2015): 103. http://dx.doi.org/10.5902/2179460x14491.

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http://dx.doi.org/10.5902/2179460X14491This paper presents a proposal for the introduction of linear programming in high school considering teaching methods, the teacher and student profiles, and a non-flexibilization of the curriculum. This proposal came as a result of a Stricto Sensu research, which deals with simple problems that encourage high school students to understand Linear Programming by means of a contextualization of studied topics, as resolution of linear equations. The aim is to show to these students the range of real-world problems that can be solved using Linear Programming, with the application of methods to solve systems of linear equations and the support of mathematical softwares. The proposal presented here has not been applied in classrooms yet, but it is expected that students will be able to understand in a contextualized view where linear systems can be applied, the importance of mathematical modeling and the need of to use a mathematical software to solve real big data problems.

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Sučkovs, Iļja, Aleksandrs Pikurs, and Ilmārs Kangro. "MATHEMATICAL MODELLING OF THE ANALYTICAL AND NUMERICAL SOLUTION OF NON-STATIONARY INITIAL-VALUE PROBLEMS BY MAPLE SOFTWARE." HUMAN. ENVIRONMENT. TECHNOLOGIES. Proceedings of the Students International Scientific and Practical Conference, no. 23 (April 24, 2019): 87. http://dx.doi.org/10.17770/het2019.23.4398.

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With the passage of time and the development of technology, humanity is exploring new unknown problems that require complex analytical and numerical mathematical solutions. Due to their complexity differential equations are often used for this purpose. The aim of this work is to solve mathematical models of initial value problems of ordinary differential equations using the analitical method and numerical solution using MAPLE software. Also authors have provided general information about differential equations and diferent ways how they can be solved. As a result have been created two mathematical models which describe process of Determination of the cooling time of a shot animal and decomposition of the radioactive substance. Similar methods are also used to determine the age of objects as well

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32

Крюков, V. Kryukov, Зольников, Konstantin Zolnikov, Евдокимова, and S. Evdokimova. "Problems of modeling the basic elements CMOS LSI dual-purpose CAD." Modeling of systems and processes 6, no. 4 (2014): 41–44. http://dx.doi.org/10.12737/4045.

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The paper considers problems of modeling the basic elements of micro-schemes, creation of mathematical, informational and software taking into account the division of responsibilities between enterprises and modeling capabilities of ionizate-organizational and structural effects.

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33

Istomin, Andrey, Maksim Krivov, and Alena Andreevna Istomina. "DEVELOPMENT OF A SOFTWARE AND HARDWARE COMPLEX FOR THE DESIGN OF CHEMICAL AND TECHNOLOGICAL SYSTEMS." Scientific Papers Collection of the Angarsk State Technical University 2021, no. 1 (2021): 19–23. http://dx.doi.org/10.36629/2686-7788-2021-1-1-19-23.

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34

Calixto, Wesley Pacheco, Bernardo Alvarenga, Jesus Carlos da Mota, et al. "Electromagnetic Problems Solving by Conformal Mapping: A Mathematical Operator for Optimization." Mathematical Problems in Engineering 2010 (2010): 1–19. http://dx.doi.org/10.1155/2010/742039.

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Having the property to modify only the geometry of a polygonal structure, preserving its physical magnitudes, the Conformal Mapping is an exceptional tool to solve electromagnetism problems with known boundary conditions. This work aims to introduce a new developed mathematical operator, based on polynomial extrapolation. This operator has the capacity to accelerate an optimization method applied in conformal mappings, to determinate the equipotential lines, the field lines, the capacitance, and the permeance of some polygonal geometry electrical devices with an inner dielectric of permittivityε. The results obtained in this work are compared with other simulations performed by the software of finite elements method, Flux2D.

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35

Zakirova, G. A. "Inverse Spectral Problems and Mathematical Models of Continuum Mechanics." Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 12, no. 2 (2019): 5–24. http://dx.doi.org/10.14529/mmp190201.

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36

Bonic, Zoran, Todor Vacev, Verka Prolovic, Marina Mijalkovic, and Petar Dancevic. "Mathematical modeling of materially nonlinear problems in structural analyses, Part II: Application in contemporary software." Facta universitatis - series: Architecture and Civil Engineering 8, no. 2 (2010): 201–10. http://dx.doi.org/10.2298/fuace1002201b.

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The paper presents application of nonlinear material models in the software package Ansys. The development of the model theory is presented in the paper of the mathematical modeling of material nonlinear problems in structural analysis (part I - theoretical foundations), and here is described incremental-iterative procedure for solving problems of nonlinear material used by this package and an example of modeling of spread footing by using Bilinear-kinematics and Drucker-Prager mode was given. A comparative analysis of the results obtained by these modeling and experimental research of the author was made. Occurrence of the load level that corresponds to plastic deformation was noted, development of deformations with increasing load, as well as the distribution of dilatation in the footing was observed. Comparison of calculated and measured values of reinforcement dilatation shows their very good agreement.

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37

Cutlip, Michael B., John J. Hwalek, H. Eric Nuttall, et al. "A collection of 10 numerical problems in chemical engineering solved by various mathematical software packages." Computer Applications in Engineering Education 6, no. 3 (1998): 169–80. http://dx.doi.org/10.1002/(sici)1099-0542(1998)6:3<169::aid-cae6>3.0.co;2-b.

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38

Ochkov, V. F. "Applied mathematical software and a web-based interactive handbook for thermal engineering: Problems and solutions." Thermal Engineering 53, no. 6 (2006): 485–92. http://dx.doi.org/10.1134/s0040601506060176.

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39

Olsson, Jan. "The Contribution of Reasoning to the Utilization of Feedback from Software When Solving Mathematical Problems." International Journal of Science and Mathematics Education 16, no. 4 (2017): 715–35. http://dx.doi.org/10.1007/s10763-016-9795-x.

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40

Deuflhard, Peter, Anton Schiela, and Martin Weiser. "Mathematical cancer therapy planning in deep regional hyperthermia." Acta Numerica 21 (April 19, 2012): 307–78. http://dx.doi.org/10.1017/s0962492912000049.

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This paper surveys the mathematics required for a typically challenging problem from computational medicine: cancer therapy planning in deep regional hyperthermia. In the course of many years of close cooperation with clinics, the medical problem has given rise to many subtle mathematical problems, some of which were unsolved when the project started. Efficiency of numerical algorithms, i.e., computational speed and monitored reliability, plays a decisive role in the medical treatment. Off-the-shelf software had turned out to be insufficient to meet the requirements of medicine. Instead, new mathematical theory as well as new numerical algorithms had to be developed. In order to make our algorithms useful in the clinical environment, new visualization software, i.e., a ‘virtual lab’, including three-dimensional geometry processing of individual virtual patients, had to be designed and implemented. Moreover, before the problems could be attacked by numerical algorithms, careful mathematical modelling had to be done. Finally, parameter identification and constrained optimization for the PDEs had to be newly analysed and realized over the individual patient's geometry. Our new techniques had an impact on the specificity of the treatment of individual patients and on the construction of an improved hyperthermia applicator.

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Jurotun, Jurotun. "Meningkatkan Komunikasi Matematis Peserta Didik Melalui “Disco LeMPer” berbantuan Software GeoGebra." Kreano, Jurnal Matematika Kreatif-Inovatif 6, no. 1 (2015): 1. http://dx.doi.org/10.15294/kreano.v6i1.4471.

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<p align="justify">Peserta didik belum menguasai kemampuan komunikasi matematika, baik kemampuan matematika lisan maupun kemampuan matematika secara tertulis. Peserta didik sulit membedakan penggunaan simbol dan lambang matematika, mengubah masalah nyata ke dalam bahasa matematika, serta mentransfer bentuk matematika ke dalam masalah nyata, peserta didik jarang mengajukan pertanyaan ataupun memberikan pendapatnya dalam proses pembelajaran matematika. Penelitian ini bertujuan untuk meningkatkan komunikasi matematis melalui “Disco LeMPer” berbantuan Software GeoGebra. Penelitian ini adalah jenis penelitian tindakan kelas dengan Jenis penelitian ini adalah penelitian tindakan kelas yang terdiri dari silkus 1 dan siklus 2. Penelitian Tindakan Kelas ini dilaksanakan di kelas XI MIA3 SMA Negeri 1 Dempet. Alat pengumpulan data yang digunakan adalah lembar observasi dan tes tertulis. Hasil penelitian diperoleh bahwa terjadi peningkatan komunikasi matematis lisan sebesar 45% pada siklus 1 dan 22% pada siklus 2. Sedangkan untuk komunikasi tertulis terjadi peningkatan sebesar 30% untuk siklus 1 dan 42% untuk siklus 2. Dengan demikian pembelajaran Disco LeMPer berbantuan software GeoGebra dapat meningkatkan komunikasi matematis peserta didik SMA untuk materi irisan kerucut. </p><p align="justify"><em>Learners have not mastered the mathematical communication skills, both verbal and math skills math skills in writing. Learners are difficult to distinguish the use of symbols and mathematical symbol, changing the real problems into mathematical language, as well as the transfer form to the real problems of mathematics, students rarely ask questions or give opinions in the process of learning mathematics. This study aims to improve mathematical communication through "Disco Lemper" aided software GeoGebra.This research is a classroom action research with the type of research is a class action consisting of cycle 1 and cycle 2. Class Action Research was conducted in class XI MIA3 SMA Negeri 1 Dempet. Data collection tools used were observation sheet and a written tes. The results showed that an increase in oral mathematical communication by 45 % in cycle 1 and 22 % in cycle 2. As for written communication an increase of 30 % for the first cycle and 42 % for cycle 2. Thus Disco Lemper aided learning software GeoGebra can improve communication mathematical high school students to the material conic sections. </em></p>

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Ignat'ev, S., A. Folomkin, and E. Muratbakeev. "Descriptive Geometry Problems Visualization by Wolfram Mathematica." Geometry & Graphics 8, no. 4 (2021): 74–84. http://dx.doi.org/10.12737/2308-4898-2021-8-4-74-84.

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The possibilities of Wolfram Mathematica (WM), which is a package of symbolic mathematics, are endless. In this paper are investigated the possibilities of WM software product contextualization in the process of geometric-graphic teaching of students; is considered the experience for using a set of WM computational algorithms in teaching practice. The source codes and output data of our own WOLFRAM projects are offered, which are illustrative, in the form of interactive graphs, visualization of the solution for one of DG course’s basic problems on construction of points A, B, C and D, given by coordinates in space; construction a plane of general position passing through points A, B and C; determining positions of these points and the constructed plane in space; and also on determining the point D belonging to this plane. Have been presented examples of several of the existing WOLFRAM projects in the form of interactive graphs used in teaching. The study of applied issues and the ability to translate a professional problem into mathematical language, working in WM, provides a student with an opportunity to assimilate the necessary competencies. Interactive visualization of solving DG problems, which can be carried out using WM, together with traditional problem solving, enriches the content of geometric education, introduces new opportunities in organization of the educational process, allows stimulate, maintain and increase students' interest in studying the discipline and further research in the area of DG. However, the ability to work in WM cannot replace the fundamental knowledge obtained by students of a technical high educational institute from the traditional course, but only complements the DG course by WM acquaintance.

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Xu, Ying. "Research on MATLAB and its Application in Mathematical Modeling." Applied Mechanics and Materials 687-691 (November 2014): 1202–5. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.1202.

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With the rapid development of society and computer technology, the combination of mathematics with computer technology is playing an increasingly important role in each field of society. In this paper, we mainly discusses the important role of MATLAB software in mathematical modeling, so as to raise the understanding of MATLAB and the efficiency of mathematical modeling with MATLAB software, and then improve the ability to solve practical problems. This paper explains the general process of mathematical modeling, studies the function and characteristic of MATLAB and its application in mathematical modeling. There are analysis of the key technologies and solutions required in the development process. Practice has proved that the MATLAB mathematical modeling can be used to improve the efficiency and quality of mathematical modeling, enriching the ways and means of mathematical modeling, and has great effect on the teaching of mathematical modeling course.

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Блонский, А. В. "A software package for the simulation of fluid flows in discrete fracture networks with vugs." Numerical Methods and Programming (Vychislitel'nye Metody i Programmirovanie), no. 4 (December 18, 2018): 405–15. http://dx.doi.org/10.26089/nummet.v19r436.

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Представлен программный комплекс для математического моделирования течений в дискретных системах трещин. Описана математическая модель течения, приведено краткое изложение вычислительных алгоритмов и сформулированы особенности программной реализации. Рассмотрена структура разработанного программного комплекса, обсуждаются аналогичные программные комплексы и указаны их отличия от представленного в настоящей статье. На ряде задач продемонстрирована работоспособность предложенных в статье математической модели, алгоритмов и программного комплекса. A software package for the mathematical simulation of fluid flows in discrete fracture networks is proposed. The mathematical model of flows is analyzed, a brief description of the computational algorithms is given, and the features of software implementation are formulated. The structure of the developed software package is considered, a number of similar software packages are discussed, and their differences from the proposed one are shown. A number of model problems are solved to demonstrate the efficiency of the proposed mathematical model, algorithms, and software implementation.

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Tanu Wijaya, Tommy, Zhou Ying, and Aditya Purnama. "Using Hawgent Dynamic Mathematic Software in Teaching Trigonometry." International Journal of Emerging Technologies in Learning (iJET) 15, no. 10 (2020): 215. http://dx.doi.org/10.3991/ijet.v15i10.13099.

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Learning media is a help assistant for students to understand mathematics concept. Sometimes textbooks are very boring and not interesting therefore an innovation using a technology based media is needed. This research aims to make a learning media to improve students’ ability on the topic of trigonometry. The learning process will use hawgent dynamic mathematic software as a mathematics learning media. The problems that we are going to find out through this research are 1) can developing a learning media such as hawgent dynamic mathematic software improve students’ mathematical ability? and 2) did the student show a positive response in the learning process when using hawgent dynamic mathematic software? This research will use the ADDIE method. The target of this research are 30 high school students. The instruments use for this research are the cognitive test, interview and observation. According to the research result, there is an improvement in the students’ mathematical ability for trigonometry when using hawgent dynamic mathematic software. This means that the implementation of hawgent dynamic mathematic software in the learning process is successful. Students are more active and enthusiastic in class. In conclusion, developing hawgent dynamic mathematic software can improve the students’ mathematical ability in trigonometry as students’ show positive response when the learning process is helped by hawgent.

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Kuz'min, I. M., and L. E. Tonkov. "Distributed calculations in conjugated problems of interaction between gas flows and deformable bodies." Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta 56 (November 2020): 30–40. http://dx.doi.org/10.35634/2226-3594-2020-56-03.

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In the mathematical modeling of conjugated problems of gas dynamics and mechanics of a deformable solid body within the partitioned approach, each of the physical problems is solved independently using the appropriate software. In the article, we consider a distributed software model built on the basis of components approach that makes it possible to connect an arbitrary number of components related to physical problems. The mathematical formulation of the problems of gas dynamics, mechanics of a deformable rigid body, as well as the boundary conditions for the conjugation of physical regions are given. The programming model is based on the ZeroC Ice middleware, which implements a distributed client-server model. As an example, we consider the problems of interaction of a shock wave with an elastically deformable obturator, consisting of two thin plates, as well as the interaction of a hollow deformable cylinder with a flow of gas. The results of numerical solution are given.

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Mistry, Piyush R., Vikas H. Pradhan, and Khyati R. Desai. "Mathematical Model and Solution for Fingering Phenomenon in Double Phase Flow through Homogeneous Porous Media." Scientific World Journal 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/470174.

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The present paper analytically discusses the phenomenon of fingering in double phase flow through homogenous porous media by using variational iteration method. Fingering phenomenon is a physical phenomenon which occurs when a fluid contained in a porous medium is displaced by another of lesser viscosity which frequently occurred in problems of petroleum technology. In the current investigation a mathematical model is presented for the fingering phenomenon under certain simplified assumptions. An approximate analytical solution of the governing nonlinear partial differential equation is obtained using variational iteration method with the use of Mathematica software.

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Jongen, H. Th, Jan J. Rückmann, and V. Shikhman. "On Stability of the Feasible Set of a Mathematical Problem with Complementarity Problems." SIAM Journal on Optimization 20, no. 3 (2010): 1171–84. http://dx.doi.org/10.1137/08072694x.

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Wang, X., and V. Jeyakumar. "A Sharp Lagrange Multiplier Rule for Nonsmooth Mathematical Programming Problems Involving Equality Constraints." SIAM Journal on Optimization 10, no. 4 (2000): 1136–48. http://dx.doi.org/10.1137/s1052623499354540.

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Gurin, Artem L., Andrey G. Donets, and Sergey P. Zagorodnyuk. "Methods of Solving the Problems of Mathematical Safe on Elementary Graphs." Journal of Automation and Information Sciences 51, no. 7 (2019): 34–46. http://dx.doi.org/10.1615/jautomatinfscien.v51.i7.30.

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