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Introductory Lecture to Applied Mathematics Stream

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AACIMP 2010 Summer School lecture. "Applied Mathematics" stream. …

AACIMP 2010 Summer School lecture. "Applied Mathematics" stream.
More info at http://summerschool.ssa.org.ua

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  • 1. Applied Mathematics Introductory lecture Speaker: Dmitry Krushinsky Summer school AACIMP-2010, Kyiv, KPI, August, 4
  • 2. Main ideas of program formation Applied Mathematics Actuality and novelty Diversity Quality of topics, fields, approaches, teaching methods, studying etc.
  • 3. Stream information Applied Mathematics Stream courses: 1. The p-median problem and its applications (4 h.), Prof, B. Goldengorin, D. Krushinsky 2. Dynamic systems of bonding mappings. Theory and possible applications (1 h.), Prof. Y. Maistrenko 3. Stochastic Programming and Applications (9 h.), Prof. L. Sakalauskas 4. Modern Operational Research and Its Mathematical Methods (10 h.), Prof. G.W. Weber 5. Selected models of transport processes. Methods of solving and properties of solutions (6 h.), Prof. V. Vladimirov 6. Financial mathematics (2 h.), Prof. V. Gorbachuk 7. General tasks and problems of modeling of social systems (8 h.), Prof. A. Makarenko 8. On the models of uncertainty in decision and control problems (2 h.), Prof. V. Ivanenko Total hours: 42
  • 4. Stream information Applied Mathematics  Stream language: English  except Prof. V. Ivanenko course which will be conduct in Russian  Stream room: Great Physics Hall, build.#1  Plenary lectures at the stream program:  Presentation of EURO XXV conference in Vilnius, Prof. L. Sakalauskas  P&G master-class on logistics  Euroscience Open Forum (ESOF) Presentation, Dr. Z. Klestova  Chemoinformatics. Introduction, Dr. I. Tetko
  • 5. Applied Mathematics Teachers and courses
  • 6. Countries & Universities Applied Mathematics METU, Ankara, Turkey Groningen University, The Netherlands KPI, Ukraine
  • 7. Countries & Universities Applied Mathematics AGH University of Science and Technology, Poland Vilnius University, Lithuania
  • 8. The p-median problem and its applications Applied Mathematics Organizations: Faculty of Economics and Business, University of Groningen, Groningen, The Netherlands; Honorary Doctor of Science at Khmelnitsky National University, Ukraine. Areas of scientific researches: Exact and approximation algorithms based on data correcting and tolerances for solving the Traveling Salesman, design and scheduling of flexible manufacturing systems, Simple Plant Location, P-Median, Max- Cut, Quadratic Cost Partition. Theory and applications of submodular functions on decision analysis. Pricing theory and e-commerce. Professor, Dr., Course information: Boris The objective of the p-Median problem (PMP) is to locate p facilities Goldengorin (medians) such that the sum of the distances from each demand point to its nearest facility is minimized. A justification for this research is that there is an evidence (see e.g. Brusco and Kohn 2008) that the PMP can provide better cluster reconstruction than alternative clustering procedures (the complete and average linkage, minimum variance, and K-means). Summer school AACIMP-2010 http://summerschool.ssa.org.ua
  • 9. The p-median problem and its applications Applied Mathematics Organizations Department of Operations , University of Groningen, Groningen, The Netherlands; Institute for Applied System Analysis at NTUU “KPI”, Kyiv, Ukraine. Areas of scientific researches: Mathematical modeling of large social systems, design and application of cellular automata and artificial neural networks, optimization problems on graphs, algorithms and computational complexity. Course information: Master of applied The objective of the p-Median problem (PMP) is to locate p facilities mathematics, (medians) such that the sum of the distances from each demand point PhD student, to its nearest facility is minimized. A justification for this research is Dmitry that there is an evidence (see e.g. Brusco and Kohn 2008) that the PMP Krushinsky can provide better cluster reconstruction than alternative clustering procedures (the complete and average linkage, minimum variance, and K-means). Summer school AACIMP-2010 http://summerschool.ssa.org.ua
  • 10. Stochastic Programming and Applications Applied Mathematics Organizations: Institute of Mathematics and Informatics, Head of Operational Research Department, Lithuania. Areas of scientific researches: stochastic nonlinear and linear programming, Bayesian analysis, linear and nonlinear optimization, data mining, Monte-Carlo method, heuristic optimization, applied probability, importance sampling, Monte-Carlo Markov chain, stochastic approximation, queuing theory, network analysis and optimization, circuit optimization, engineering optimization. Course information: Professor, Dr., The course is aimed to give a knowledge for undergraduted or Phd Leonidas students about statistical simulation, stochastic modeling and stochastic Sakalauskas programming methods towards applications to finance, business and statistics, including such applied topics as supply chain management, financial management, chance constrained optimization, Monte-Carlo Markov chain, etc. The course is focused on topics of nonlinear and linear continuous programming that aren’t widely highlighted in traditional tutorials on stochastic optimization. Summer school AACIMP-2010 http://summerschool.ssa.org.ua
  • 11. Modern Operational Research and Its Mathematical Methods (focus on Financial Mathematics) Applied Mathematics Organizations: Department of Financial Mathematics and Department of Scientific Computing, Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey; Past chair of EWG EUROPT of EURO (Association of European Operational Research Societies). Areas of scientific researches: Continuous Optimization, Financial Mathematics, Operations Research, Optimal Control, Dynamical Systems, Statistical Learning and Computational Statistics, Inverse Problems, Complexity Theory, Computational Biology and Bioinformatics, Environmental Protection, Professor, ScD, the sector of Development and Societal Complexity. Gerhard Wilhelm Weber Course information: Operational research is a discipline that deals with development and implementation of methods hat find optimal solutions on the basis of mathematical modeling, statistic modeling and heuristic approaches in various different fields of activity. Among the classical problems of operational research – "traffic problem", "traveling salesman problem”, scheduling task, etc. Summer school AACIMP-2010 http://summerschool.ssa.org.ua
  • 12. Selected Models of Transport Processes. Methods of Solving, and Properties of Solutions Applied Mathematics Organizations: Faculty of Applied Mathematics, AGH University of Science and Technology, Poland. Areas of scientific researches: Non-local models of transport phenomena, exact solutions to non-linear PDEs, conservation laws, multi-dimensional dynamical systems, stability and attracting properties of self-similar solutions. Course information: The course is devoted to non-linear models of such processes, the Professor, Dr., means of their projection, research and modeling. The description of Vsevolod models of transport theory is limited with the simple model equations, Vladimirov and the emphasis is made on demonstration of analytical methods that give an opportunity to understand the essence of the mechanism put in the basis of the model. The approaches represented within the lectures are universal enough as well as model equations. The area of their application is not limited with "physically motivated examples" represented and analyzed in details within the course. Summer school AACIMP-2010 http://summerschool.ssa.org.ua
  • 13. General tasks and problems of modelling of social systems. Problems and models in sustainable development Applied Mathematics Organizations: Institute of applied system analysis of NTUU «KPI», Kyiv, Ukraine. Areas of scientific researches: Hyperbolic equation of heat conduction, development of numerous methods for differential equation of mathematical physics, measures of complexity and informational content of individual objects, mathematic modeling of global processes in large social and economic systems, modeling and prognostication of geopolitical relations, construction and application of different artificial neural network in theory and in practice, cellular automaton, sustainable development. Professor, Dr., Course information: Alexander Course of lectures covers the whole description of possibilities, that Makarenko exact sciences represent: Physics, Mathematics, Synergetic, Informatics for understanding of behavior, modeling and prediction of maybe the most complicated systems and at the same time the systems, which are difficult to formalize, systems, formed by people and, particularly, grand unifications of people. Social, economical, political and global systems. Summer school AACIMP-2010 http://summerschool.ssa.org.ua
  • 14. Financial mathematics Applied Mathematics Organizations: Cybernetics Institute, Kyiv Polytechnic Institute, Kyiv Mohyla Academy , Kyiv, Ukraine. PhD in Mathematical Cybernetics (Cybernetics Institute, Ukraine), PhD courseload in Economics (Michigan State University, USA) Areas of scientific researches: Nash, Cournot, Stacklelberg, Bertrand equilibria; game theory; nonsmooth, nonstationary, stochastic and bilevel optimization; economic modeling; ecology; corporate and public finance; law and economics; industrial organization; macroeconomics; energy; Professor, Dr., Vas informatics; financial mathematics. yl Gorbachuk Course information: Financial mathematics is a young applied mathematical discipline which uses mathematical methods and models for financial calculations, market growth prediction, and risk analysis. The course is an overview of main ideas of stochastic approach to financial analysis and prediction and use of contemporary operations research methods in problems of financial decision-making. Summer school AACIMP-2010 http://summerschool.ssa.org.ua
  • 15. Decision Making under Uncertainty Applied Mathematics Organizations: Management and Marketing Department, National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine. Areas of scientific researches: Theory and systems of decisionmaking, control theory and systems, systems analysis. Course information: The decision theory is the constellation of mathematical and numerical methods, oriented on finding optimal variants from set of alternatives and allowing to avoid their full examination. The main task of decision Professor, Dr., theory is selection of alternatives (possible variants of actions), their Viktor Ivanenko sorting, clustering and choosing the optimal ones. Researches in this sphere are closely connected to the concepts and methods used in mathematics, statistics, economics, management and psychology. Nowadays methods of decision theory are widely used in decision- making in public and corporative management, macroeconomics, political science, cognitive psychology, solving the problems of operations research, stochastic optimization, etc. Summer school AACIMP-2010 http://summerschool.ssa.org.ua
  • 16. Organizing committee. Contacts Applied Mathematics Responsible on a work with participants – Iryna Sagaidak +38 (097) 843 8486; +38(093) 213 7943. Technical support – Maksym Shepel +38(093) 745 4457. Student Science Association Room 299(15), build.#1 +38(044) 454 9243