Computational Mathematical Sciences

계산수리과학

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계산수리과학

We are interested in developing and analyzing computational algorithms that are working in solving mathematical modeling problems including (fractional) partial differential equations and integral equations describing physical, biological, chemical, and engineering phenomena. We want to see the world beyond the experimental world with mathematical theories and computer simulation.

계산수리과학' 연구실은 (분수) 편미분 방정식과 물리, 생물학적, 화학적, 공학 현상을 설명하는 적분 방정식을 포함한 수학적 모델링 문제를 해결하는 데 사용되는 계산 알고리즘을 개발하고 분석하는 데 관심이 있습니다. 수학적 이론과 컴퓨터 시뮬레이션으로 실험적 세계를 넘어서는 연구를 목표로 하고 있습니다.

관심분야

Numerical analysis methods, Nonlinear Dynamics, Mathematical Data Analysis

희망분야

Fractional and Partial Differential Equations, Biodiversity, Networks, Text mining, Reservoir computing

Research Keywords and Topics

Numerical analysis methods: Fractional, Partial Differential & Integral equations

Nonlinear Dynamics: Biodiversity, fractional dynamics, networks

Mathematical Data Analysis: Text mining, Deep learning & Reservoir computing

Research Publications
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Kim, Hyunju; Kim, Keon Ho; Lee, Seyeon; Jang, Bongsoo*, " New explicit and accelerated techniques for solving fractional order differential equations", Appl. Math. Comput. 379 (2020), 125228, 21 pp.

H.A.A, El-Saka, Seyeon Lee, Bongsoo Jang*, "Dynamic analysis of fractional-order predator-prey biological economic system with Holling type II functional response", Nonlinear Dyn. 96, 407–416 (2019)

Junpyo Park, Younghae Do, Bongsoo Jang*, and Ying-Cheng Lai, "Emergence of unusual coexistence states in cyclic game systems", Scientific Reports 7 (2017) 7465.

Patents

System and Method for Transferring Style of Recognition Area: Application No, 10-2019-0059322, Registered No, 10-2057713, Kyunghoon Kim, Bongsoo Jang
(인식 영역의 스타일을 트랜스퍼하는 시스템 및 방법)

Korean Text Clustering System and Method: Application No, 10-2016-0036552, Registration No/date, 10-1769035/Kyunghoon Kim, Bongsoo Jang
(한국어 텍스트 클러스터링 시스템 및 방법)