Relevant bibliographies by topics / Mathematical modeling in economics

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Mathematical modeling in economics'

Author: Grafiati
Published: 24 April 2022

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Journal articles on the topic "Mathematical modeling in economics"

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Guerrini, Luca. "Mathematical modeling in economics." Physics of Life Reviews 9, no. 4 (December 2012): 415–17. http://dx.doi.org/10.1016/j.plrev.2012.08.005.

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Makarov, Sergey I. "Mathematical modeling skills development among students of universities of economics." Samara Journal of Science 9, no. 2 (May 29, 2020): 254–57. http://dx.doi.org/10.17816/snv202307.

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This paper discusses approaches to economic and mathematical modeling skills development among students of universities of economics. The need for this competency among specialists in the digital economy is shown. The motivation of the student the future specialist in the digital economy in mastering the basic techniques of economic processes and systems modeling is outlined. The sections of the school course in mathematics are given, which are the basis for the development of these skills. Mathematical courses are examined; their study is considered to be the foundation for the development of the competence in economic processes modeling. The author describes the main types of mathematical models that are studied at the present stage at universities of economics and are widely used in the digital economy. The author also presents a classification of the models used in the educational process while studying mathematical courses. The main requirements for economic-mathematical models are discussed and substantiated. The author has listed necessary requirements for teachers of mathematical departments of universities. These requirements can help them to teach basic mathematics and its applied sections (e.g. mathematical modeling) to students successfully. The main conclusions and results of the study can be used in the practical work of teachers of mathematical departments at universities of economics when creating electronic teaching aids of economic and mathematical modeling and methods of their application in the educational process.
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Köhler, Angela D. A. "The Dangers of Mathematical Modeling." Mathematics Teacher 95, no. 2 (February 2002): 140–45. http://dx.doi.org/10.5951/mt.95.2.0140.

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When setting long-term goals, mathematics teachers face a constant dilemma. Most of us realize that our students will need to be mathematically literate in their future jobs, be able to see the real world through mathematical eyes, and be ready to handle the huge quantities of numbers that will be presented to them in their company's reports and in the news. During most of the school year, however, we give our students problems that are already written in mathematical language. Even the socalled real-life applications often consist of just an equation from physics, medicine, or economics that students are expected to analyze algebraically or graphically. They do not learn how the equation was originally derived, and they can often solve such problems without giving any thought to the application. To truly connect their mathematical skills with the outside world, we need to confront them with problems that have not yet been translated into the language of mathematics. We should just say “Now what?” and give them the necessary time to try out several mathematical models for the given situation.
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Трофименко, Ганна Сергіївна. "Comparison of economics and mathematical modeling of economic structures in health area." Technology audit and production reserves 4, no. 2(6) (September 18, 2012): 19–20. http://dx.doi.org/10.15587/2312-8372.2012.4708.

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Zinnes, Dina A. "Musings on Mathematical Modeling." Conflict Management and Peace Science 11, no. 2 (February 1991): 1–16. http://dx.doi.org/10.1177/073889429101100201.

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Palotás, Béla. "Mathematical Modeling on Welding Phenomena." Materials Science Forum 659 (September 2010): 435–40. http://dx.doi.org/10.4028/www.scientific.net/msf.659.435.

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The development of computer technology has been followed by welding as well, in the last 15 years. It is true for software development and it is true for hardware application. The paper gives a summary of computer technology application and mathematical modeling in welding, with a demonstration of software development and modeling activities carried out in Hungary. After some statistical data about software application in welding, this paper demonstrates the differences between handling databases, calculation software and elements of Artificial Intelligence. Some of the most important results of software development carried out at the Budapest University of Technology and Economics (BUTE) are also introduced in this paper. Mathematical modeling is a very important part of information technology development in the case of welding as well.
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Dow, S. "The Use of Mathematics in Economics." Voprosy Ekonomiki, no. 7 (July 20, 2006): 53–72. http://dx.doi.org/10.32609/0042-8736-2006-7-53-72.

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The article examines the history of mathematical methods in economic science and their impact on the structure and factors of development of the modern economic theory. The author considers different features of mathematical modeling in it, giving some examples and analyzing theoretical and methodological issues arising in the process of economic and mathematical research.
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Tang, Xinyun. "Exploration and Practical Research on the Integration of Modeling Thought into Economics Teaching in Colleges and Universities." Frontiers in Business, Economics and Management 2, no. 3 (December 21, 2021): 112–16. http://dx.doi.org/10.54097/fbem.v2i3.210.

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How to make students apply their theoretical knowledge to practice and complete the teaching objectives of macro and micro economics through economics teaching reform is a common concern of teachers majoring in economic management in many colleges and universities. Starting from the necessity and significance of modeling thought in economics teaching, this paper demonstrates the practical application of mathematical modeling in economics teaching, and puts forward the way of integrating modeling thought into economics teaching in Colleges and universities.
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Hodgson, G. "On the Problem of Formalism in Economics." Voprosy Ekonomiki, no. 3 (March 20, 2006): 111–24. http://dx.doi.org/10.32609/0042-8736-2006-3-111-124.

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The author analyses "critical realist" economic methodology with respect to application of mathematical modeling. He indicates strong and weak sides of critical realist argument, putting emphasis on the works by T. Lawson. An alternative view on the role of formal technique in economics is proposed, taking into account the diversity of interpretative contexts while applying mathematical models.
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Alukhanyan, Arthur, and Olga Panfilova. "Mathematical modeling in economics for selection of optimum investment solution." E3S Web of Conferences 273 (2021): 08003. http://dx.doi.org/10.1051/e3sconf/202127308003.

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This work is devoted to development of economic and mathematical models for selection of the optimum investment solution. Moreover, it states the basis for development of model examples and correction of the model considering the results obtained in the examples. In the work the problem is set for selection of the investment sources and objects, which is limited to the linear programming problem. The controlled variable and basic limitations simulating real credit and monetary relations are distinguished in the provided model. The discounted profit obtained from implementation of the optimum investment portfolio is considered as a target function. The economic and mathematical model presented in the article allows finding the optimum investment solution within the limits of the credit and monetary relations taking place both at the micro- and macroeconomic level.
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Dissertations / Theses on the topic "Mathematical modeling in economics"

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Menzies, Nicolas Alan. "Mathematical Modeling to Evaluate Disease Control Policy." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11356.

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In this dissertation I assessed three distinct policy questions: the implications of introducing a new tuberculosis diagnostic in southern Africa, the potential value of research related to HIV treatment policy in South Africa, and the causal effect of state cigarette taxes imposed between 1996 and 2013 on health outcomes in the United States.
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Fatouros, Dimitrios Michael. "Mathematical modelling for international tax planning." Thesis, Imperial College London, 1998. http://hdl.handle.net/10044/1/7954.

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Shockley, Jordan Murphy. "WHOLE FARM MODELING OF PRECISION AGRICULTURE TECHNOLOGIES." UKnowledge, 2010. http://uknowledge.uky.edu/gradschool_diss/105.

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This dissertation investigated farm management concerns faced by grain producers due to the acquisition of various precision agriculture technologies. The technologies evaluated in the three manuscripts included 1) auto-steer navigation, 2) automatic section control, and 3) autonomous machinery. Each manuscript utilized a multifaceted economic model in a whole-farm decision-making framework to determine the impact of precision agriculture technology on machinery management, production management, and risk management. This approach allowed for a thorough investigation into various precision agriculture technologies which helped address the relative dearth of economic studies of precision agriculture and farm management. Moreover, the research conducted on the above technologies provided a wide array of economic insight and information for researchers and developers to aid in the advancement of precision agriculture technologies. Such information included the risk management potential of auto-steer navigation and automatic section control, and the impact the technologies had on optimal production strategies. This dissertation was also able to provided information to guide engineers in the development of autonomous machinery by identifying critical characteristics and isolating the most influential operating machine. The inferences from this dissertation intend to be employed in an extension setting with the purpose of educating grain producers on the impacts of implementing such technologies.
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Blix, Magnus. "Essays in mathematical finance : modeling the futures price." Doctoral thesis, Handelshögskolan i Stockholm, Finansiell Ekonomi (FI), 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:hhs:diva-534.

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This thesis consists of four papers dealing with the futures price process. In the first paper, we propose a two-factor futures volatility model designed for the US natural gas market, but applicable to any futures market where volatility decreases with maturity and varies with the seasons. A closed form analytical expression for European call options is derived within the model and used to calibrate the model to implied market volatilities. The result is used to price swaptions and calendar spread options on the futures curve. In the second paper, a financial market is specified where the underlying asset is driven by a d-dimensional Wiener process and an M dimensional Markov process. On this market, we provide necessary and, in the time homogenous case, sufficient conditions for the futures price to possess a semi-affine term structure. Next, the case when the Markov process is unobservable is considered. We show that the pricing problem in this setting can be viewed as a filtering problem, and we present explicit solutions for futures. Finally, we present explicit solutions for options on futures both in the observable and unobservable case. The third paper is an empirical study of the SABR model, one of the latest contributions to the field of stochastic volatility models. By Monte Carlo simulation we test the accuracy of the approximation the model relies on, and we investigate the stability of the parameters involved. Further, the model is calibrated to market implied volatility, and its dynamic performance is tested. In the fourth paper, co-authored with Tomas Björk and Camilla Landén, we consider HJM type models for the term structure of futures prices, where the volatility is allowed to be an arbitrary smooth functional of the present futures price curve. Using a Lie algebraic approach we investigate when the infinite dimensional futures price process can be realized by a finite dimensional Markovian state space model, and we give general necessary and sufficient conditions, in terms of the volatility structure, for the existence of a finite dimensional realization. We study a number of concrete applications including the model developed in the first paper of this thesis. In particular, we provide necessary and sufficient conditions for when the induced spot price is a Markov process. We prove that the only HJM type futures price models with spot price dependent volatility structures, generically possessing a spot price realization, are the affine ones. These models are thus the only generic spot price models from a futures price term structure point of view.
Diss. Stockholm : Handelshögskolan, 2004
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Chow, Fung-kiu, and 鄒鳳嬌. "Modeling the minority-seeking behavior in complex adaptive systems." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2003. http://hub.hku.hk/bib/B29367487.

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Catney, Denise Catherine. "Mathematical modelling of abbatoir condemnation data." Thesis, Queen's University Belfast, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.388044.

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Melegaro, Alessia. "Epidemiology, mathematical modelling and economics of Streptococcus pneumoniae : assessing the potential impact of vaccination." Thesis, University of Warwick, 2005. http://wrap.warwick.ac.uk/61760/.

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This thesis explores aspects of Streptococcus pneumoniae (pneumococcus) epidemiology and control, in view of the possible widespread introduction of conjugate vaccines in England and Wales. A review and analysis of a range of different epidemiological data sources showed that the burden of pneumococcal disease in England and Wales is high and remains mostly a condition of the very young and the elderly. A meta-analysis demonstrated the effectiveness of the polysaccharide vaccine against invasive pneumococcal disease among healthy elderly, to whom vaccination was not recommended at the start of this work. Using this result, a costeffectiveness analysis assessed the economic acceptability of such a programme, from the public health perspective. A better understanding of pneumococcal carriage and transmission is required to assess the effectiveness and cost-effectiveness of mass vaccination strategies with the pneumococcal conjugate vaccine. A novel model framework was developed and fitted to a longitudinal dataset of carriage in UK families. The results demonstrated an inverse relationship between duration of carriage and age and highlighted the importance of both family size and composition for persistence in a household. Great dissimilarities were estimated among the specific serotypes in terms of transmissibility, duration of carriage and level of competition. Realistic age structured dynamic models were developed and used to investigate the impact of a range of vaccine strategies. The importance of serotype replacement, as a consequence of vaccination, was demonstrated. The economic acceptability of alternative interventions with the conjugate vaccine depended on the magnitude of its indirect effects. Herd immunity had a considerable impact on the overall cost-effectiveness of the programmes since it may substantially reduce the burden of disease in older age groups. However, serotype replacement may counterbalance this reduction and lead to a non cost-effective result.
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Tucker, Joseph James. "A Three Sector, Integrated Approach To Economic Growth Modeling: Production, Human Capital, and Health Education." University of Akron / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=akron1216491725.

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Pitcher, Ashley Brooke. "Mathematical modelling and optimal control of constrained systems." Thesis, University of Oxford, 2009. http://ora.ox.ac.uk/objects/uuid:044a26ab-99dc-4b34-b4a3-04e5c0d61ba0.

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This thesis is concerned with mathematical modelling and optimal control of constrained systems. Each of the systems under consideration is a system that can be controlled by one of the variables, and this control is subject to constraints. First, we consider middle-distance running where a runner's horizontal propulsive force is the control which is constrained to be within a given range. Middle-distance running is typically a strategy-intensive race as slipstreaming effects come into play since speeds are still relatively fast and runners can leave their starting lane. We formulate a two-runner coupled model and determine optimal strategies using optimal control theory. Second, we consider two applications of control systems with delay related to R&D expenditure. The first of these applications relates to the defence industry. The second relates to the pharmaceutical industry. Both applications are characterised by a long delay between initial investment in R&D and seeing the benefits of R&D realised. We formulate models tailored to each application and use optimal control theory to determine the optimal proportion of available funds to invest in R&D over a given time horizon. Third, we consider a mathematical model of urban burglary based on the Short model. We make some modifications to this model including the addition of deterrence due to police officer presence. Police officer density is the control variable, which is constrained due to a finite number of police officers. We look at different control strategies for the police and their effect on burglary hot-spot formation.
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Lindgren, Jonathan. "Modeling credit risk for an SME loan portfolio: An Error Correction Model approach." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-136176.

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Sedan den globala finanskrisen 2008 har flera stora regelverk införts för att säkerställa att banker hanterar risker på sunt sätt. Bland dessa regelverk är Basel II som infört kapitalkrav för kreditrisk som baseras på Sannolikhet för Fallissemang och Förlust Givet Fallissemang. Basel II Advanced Internal-Based Approach ger banker möjligheten att skatta dessa riskmått för enskilda portföljer och göra interna kreditriskvärderingar. I överensstämmelse med Advanced Internal-Based-rating undersöker denna uppsats användningen av en Error Correction Model för modellering av Sannolikhet för Fallissemang. En modell som visat sin styrka inom stresstestning. Vidare implementeras en funktion för Förlust Givet Fallissemang som binder samman Sannolikhet för Fallissemang och Förlust Givet Fallissemang med systematisk risk. Error Correction Modellen modellerar Sannolikhet för Fallissemang av en SME-portfölj från en av de "fyra stora" bankerna i Sverige. Modellen utvärderas och stresstestas med Europeiska Bankmyndighetens  stresstestscenario 2016  och analyseras, med lovande resultat.
Since the global financial crisis of 2008, several big regulations have been implemented to assure that banks follow sound risk management. Among these are the Basel II Accords that implement capital requirements for credit risk. The core measures of credit risk evaluation are the Probability of Default and Loss Given Default. The Basel II Advanced Internal-Based-Rating Approach allows banks to model these measures for individual portfolios and make their own evaluations. This thesis, in compliance with the Advanced Internal-Based-rating approach, evaluates the use of an Error Correction Model when modeling the Probability of Default. A model proven to be strong in stress testing. Furthermore, a Loss Given Default function is implemented that ties Probability of Default and Loss Given Default to systematic risk. The Error Correction Model is implemented on an SME portfolio from one of the "big four" banks in Sweden. The model is evaluated and stress tested with the European Banking Authority's 2016 stress test scenario and analyzed, with promising results.
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Books on the topic "Mathematical modeling in economics"

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Champ, Bruce. Modeling monetary economics. New York: Wiley, 1994.

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Hritonenko, Natali. Mathematical modeling in economics, ecology, and environment. Dordrecht: Kluwer Academic Publishers, 1999.

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P, I︠A︡t︠s︡enko I︠U︡, ed. Mathematical modeling in economics, ecology, and environment. Dordrecht: Kluwer Academic Publishers, 1999.

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Dupačová, Jitka. Stochastic modeling in economics and finance. Dordrecht: Kluwer Academic Publishers, 2002.

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Hritonenko, Natali. Mathematical Modeling in Economics, Ecology and the Environment. Boston, MA: Springer US, 1999.

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M, Hannon Bruce, ed. Modeling dynamic economic systems. New York: Springer, 1997.

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ova, Jitka Dupac. Stochastic modeling in economics and finance. Dordrecht: Kluwer Academic Publishers, 2002.

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Optimization modeling with spreadsheets. 2nd ed. Hoboken, NJ: Wiley, 2011.

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Morimoto, Hiraoki. Stochastic control and mathematical modeling: Applications in economics. New York: Cambridge University Press, 2010.

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Hritonenko, Natali, and Yuri Yatsenko. Mathematical Modeling in Economics, Ecology and the Environment. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4419-9733-3.

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Book chapters on the topic "Mathematical modeling in economics"

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Serovajsky, Simon. "Mathematical model of economics." In Mathematical Modelling, 129–48. Boca Raton: Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003035602-8.

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Gil Martín, Samuel. "Fundamental Principles of Modeling in Macroeconomics." In Trends in Mathematical Economics, 163–207. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32543-9_9.

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Winkelmann, Rainer. "Econometric Modeling — Extensions." In Lecture Notes in Economics and Mathematical Systems, 110–58. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-21735-1_4.

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Gersovitz, Mark. "Mathematical Epidemiology and Welfare Economics." In Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases, 185–202. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-5474-8_12.

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Leopold-Wildburger, Ulrike. "Experimental Economics." In Mathematical Modelling in Economics, 673–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-78508-5_64.

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Winkelmann, Rainer. "Econometric Modeling — Basic Issues." In Lecture Notes in Economics and Mathematical Systems, 64–109. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-21735-1_3.

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Hritonenko, Natali, and Yuri Yatsenko. "Mathematical Models of Biological Populations." In Mathematical Modeling in Economics, Ecology and the Environment, 133–56. Boston, MA: Springer US, 2013. http://dx.doi.org/10.1007/978-1-4614-9311-2_6.

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Jeliazkov, Ivan, and Mohammad Arshad Rahman. "Binary and Ordinal Data Analysis in Economics: Modeling and Estimation." In Mathematical Modeling with Multidisciplinary Applications, 123–50. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118462706.ch6.

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Hritonenko, Natali, and Yuri Yatsenko. "Introduction: Principles and Tools of Mathematical Modeling." In Mathematical Modeling in Economics, Ecology and the Environment, 1–22. Boston, MA: Springer US, 2013. http://dx.doi.org/10.1007/978-1-4614-9311-2_1.

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Gouda, A., D. Monhor, and T. Szántai. "Stochastic Programming Based PERT Modeling." In Lecture Notes in Economics and Mathematical Systems, 241–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-35262-7_14.

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Conference papers on the topic "Mathematical modeling in economics"

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Popova-Krumova, Petya, Sofia Yankova, and Biliana Ilieva. "Mathematical modeling of glycerol biotransformation." In 39TH INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS AMEE13. AIP, 2013. http://dx.doi.org/10.1063/1.4854744.

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Gushchin, Valentin A., and Pavel V. Matyushin. "Mathematical modeling of the incompressible fluid flows." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'14). AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4902468.

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Velmisov, Petr A., Andrey V. Ankilov, and Elizaveta P. Semenova. "Mathematical modeling of aeroelastic systems." In PROCEEDINGS OF THE 43RD INTERNATIONAL CONFERENCE APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: (AMEE’17). Author(s), 2017. http://dx.doi.org/10.1063/1.5013977.

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Durcheva, Mariana, and Elena Nikolova. "Modeling mathematical logic using MAPLE." In PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE ON APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: (AMEE’18). Author(s), 2018. http://dx.doi.org/10.1063/1.5082125.

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Sun, Xiaoying, and Chongkun Xu. "Research on the teaching of advanced mathematics into the idea of mathematical modeling." In 4th International Conference on Management Science, Education Technology, Arts, Social Science and Economics 2016. Paris, France: Atlantis Press, 2016. http://dx.doi.org/10.2991/msetasse-16.2016.75.

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Gao, Zheng, Xiaojing Tao, and Yubin Pan. "Quality Education of Political Thought in Mathematical Modeling." In Proceedings of the 2019 3rd International Conference on Education, Management Science and Economics (ICEMSE 2019). Paris, France: Atlantis Press, 2019. http://dx.doi.org/10.2991/icemse-19.2019.18.

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Zhang, Li. "Teaching Research in Probability Theory and Mathematical Statistics Modeling Idea." In 2015 3rd International Conference on Education, Management, Arts, Economics and Social Science. Paris, France: Atlantis Press, 2016. http://dx.doi.org/10.2991/icemaess-15.2016.60.

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Velmisov, Petr A., Yuliya V. Pokladova, and Usama J. Mizher. "Mathematical modeling of the mechanical system “pipeline - pressure sensor”." In PROCEEDINGS OF THE 45TH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’19). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5133495.

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Jiang, Xiaoping. "Mathematical Modeling Contest Based Innovative Talents Cultivation and Higher Mathematics Teaching Reform in Higher Vocational Colleges." In Proceedings of the 2019 3rd International Conference on Education, Economics and Management Research (ICEEMR 2019). Paris, France: Atlantis Press, 2019. http://dx.doi.org/10.2991/assehr.k.191221.106.

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Shorikov, Andrey F., Anna S. Filippova, and Vladimir A. Tyulyukin. "Application of dynamic economic-mathematical modeling in optimization problems in banking." In PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE ON APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS: (AMEE’18). Author(s), 2018. http://dx.doi.org/10.1063/1.5082023.

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Reports on the topic "Mathematical modeling in economics"

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Roberts, D. L., and D. E. Gottschlich. Mathematical modeling and economic analysis of membrane separation of hydrogen from gasifier synthesis gas. Mathematical modeling topical report. Office of Scientific and Technical Information (OSTI), October 1988. http://dx.doi.org/10.2172/10161735.

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Roberts, D. L., and D. E. Gottschlich. Mathematical modeling and economic analysis of membrane separation of hydrogen from gasifier synthesis gas. Office of Scientific and Technical Information (OSTI), October 1988. http://dx.doi.org/10.2172/5046000.

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Mitler, Henri E. Mathematical modeling of enclosure fires. Gaithersburg, MD: National Institute of Standards and Technology, 1991. http://dx.doi.org/10.6028/nist.ir.90-4294.

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Quiang, Ji. Mathematical modeling plasma transport in tokamaks. Office of Scientific and Technical Information (OSTI), January 1997. http://dx.doi.org/10.2172/565310.

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Rajagopal, K., M. Massoudi, and J. Ekmann. Mathematical modeling of fluid-solid mixtures. Office of Scientific and Technical Information (OSTI), March 1990. http://dx.doi.org/10.2172/7230272.

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Mitler, Henri E., and John A. Rockett. How accurate is mathematical fire modeling? Gaithersburg, MD: National Bureau of Standards, 1986. http://dx.doi.org/10.6028/nbs.ir.86-3459.

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Jin, D., R. G. Stachowiak, I. V. Samarasekera, and J. K. Brimacombe. Mathematical modeling of deformation during hot rolling. Office of Scientific and Technical Information (OSTI), December 1994. http://dx.doi.org/10.2172/34420.

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Lerman, Kristina, Maja Mataric, and Aram Galstyan. Mathematical Modeling of Large Multi-Agent Systems. Fort Belvoir, VA: Defense Technical Information Center, September 2005. http://dx.doi.org/10.21236/ada439172.

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Rehm, Ronald G., and Randall J. McDermott. Mathematical modeling of wildland-urban interface fires. Gaithersburg, MD: National Institute of Standards and Technology, 2011. http://dx.doi.org/10.6028/nist.ir.7803.

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Bras, R. L., G. E. Tucker, and V. Teles. Six Myths About Mathematical Modeling in Geomorphology. Fort Belvoir, VA: Defense Technical Information Center, January 2003. http://dx.doi.org/10.21236/ada416086.

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