Research on Mathematical modeling (National Institute for Mathematical Sciences)

Research on Mathematical modeling

  • Policy features
    Mathematical scientific modeling to increase fundamental understanding and prediction of various phenomena in natural science and social science.
    Fundamental research on collective behavior, forest fires, and polar ice sheets through method using dynamics and actor-based modeling to explain social phenomena.
    Research and development of a mathematical model analysis method and utilizing a method of quantifying the uncertainty of a mathematical model to improve the precision of prediction through mathematical modeling.
    Mathematical science modeling can provide a fundamental understanding of phenomena when it is difficult to solve the fundamental problem with data analysis alone and improve the precision and predictive performance of data analysis results.

    - Dynamical Systems Modeling: Modeling to deal with natural or social phenomena mathematically, a tool for understanding the fundamental problems and predictions of phenomena.
    - Wave dynamics: A research technique of models expressed in partial differential equations to implement phenomena that appear in various real systems such as earthquakes and polar ice flows.
    - Agent Based Modeling: Modeling that analyzes social/macro phenomena through characteristics that appear when characteristics are assigned to multiple actors.
    - Uncertainty Quantification: A technique that analyzes the predictive ability of a mathematical model by analyzing the characteristics between the predicted value and the input value existing in the model in a given mathematical model.

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Policy details

- Study on collective behavior by using dynamical systems: Research on various collective behaviors that appear during natural or social phenomena, such as flocking of birds and stock market crash, etc.


- Simulation model of forest fire by using Agent Based Modelling(ABM): Due to global warming and environmental disturbances, the frequency and scale of wildfires in Korea are gradually increasing. For an effective extinguishing strategy of a forest fire fighting, it is especially important to predict the path of the forest fire and the intensity of the forest fire.The forest fire is transformed into a complex form according to the forest composition such as the slope of the forest topography, weather such as wind speed, wind direction, humidity, and tree type. Therefore, it is difficult to make precise predictions. Therefore, it contributes to minimizing forest fire damage by understanding the characteristics of the spread of forest fires, inferring the probability of occurrence of forest fires, estimating the spread path, and developing a predictive model for the possibility of enlargement.


- Development of a tunneling simulation model for termite characteristics based on ABM: Currently, environmental disturbances such as global warming are common, and ecosystem instability is rapidly increasing, and the problem of ecosystem conservation is seriously emerging. These issues should be dealt with at the national level, and it is considered reasonable to conduct research conducted by the cast. In particular, since termite problem is a major cause of carbon dioxide generation and a cause of damage to major wooden structures, there is a need to establish an alternative to this. Examples of using hydraulic models for termite control strategies are very limited both domestically and internationally. This is because there is not enough understanding of termite ecosystem dynamics, and because termite species live and reproduce underground, it is difficult to observe and analyze directly. Developing an actor-based termite hydraulic model is considered an appropriate approach as an alternative to overcoming the limitations of understanding the termite ecosystem. The developed intelligent actor-based model is applied to the termite population behavior to estimate the subterranean termite habitat status. In addition, an effective and efficient termite control technique is proposed based on prediction through model simulation.



-​ Wave Analysis Finite Element Simulation: Seismic/Acoustic Wave Metamaterial Analysis and Wave Attenuation-Design metamaterial structures for attenuation of earthquakes and acoustic waves, and simulate the effects through finite element analysis.



Government Organization Information

국가수리과학연구소National Institute for Mathematical Sciences

Address : 70, Yuseong-daero 1689 beon-gil, Yuseong-gu, Daejeon, 34047, Korea

Website :

Mathematics provides the most simple and perfect expression of all phenomena that occur in the world we live in. It has thus entered our lives having a great influence in all aspects of daily life and its functions and roles have become increasingly more important.

With the 4th Industrial Revolution coming, society at large demands that mathematics serve an expanded role beyond the laboratory. This has led to the emergence of public opinion regarding the necessity of related mathematics research and education as well as the strengthening of the functions of mathematics.

To meet such national and social demands, NIMS places its goal of conducting strategic R & D, including industrial mathematics, finding and solving mathematical problems in industry and the public sector, and returning the results, and thereby we are trying to contribute to the world through mathematics.

NIMS actively pursues R&D partnerships with businesses to promote innovative ideas in mathematics and assist in the development of start-ups that have the potential to surprise the world over, and also aims to establish a problem-solving system and develop specialized programs for start-ups engaging in mathematics.

n addition, medical mathematics, which is a new field of study combining medical field and mathematics, is responding to the increasing demands of mathematical solutions for the difficulties of the medical field and making efforts to contribute to the improvement of the health and quality of life.

Through appropriate modeling, all problems of the world including those faced by industry lead to mathematics. To find solutions to such problems, the knowledge and methodologies of all fields of mathematics need to be utilized. Upon leveraging its partnerships and by balancing growth across all fields of mathematics as its assets, NIMS will maximize mathematical problem solving ability with balanced growth and cooperation in all fields of mathematics, and will endeavor to contribute directly to the nation and society through industrial mathematics.

To this end, NIMS will maximize its efforts to contribute to the daily life of the public by expanding the role of mathematics upon combining the will and capabilities of all its members.