Applied Mathematics

Faculty and students working on the applications of mathematics are an integral part of the Department of Mathematical Sciences; there is no formal separation between pure and applied mathematics, and the Department takes pride in the many ways in which they enrich each other. Researches in applied mathematics focus on ordinary and partial differential equations and their numerical solution, mathematical biology, scientific computing, mathematical image processing, stochastic simulation, financial mathematics, complex networks, and nonlinear complex systems.

Undergraduate courses

  • MTH202 Ordinary Differential Equations
  • MTH251 Mathematical Analysis I
  • MTH271 Methods of Applied Mathematics
  • MTH311 Complex Analysis I
  • MTH321 Numerical Analysis
  • MTH331 Scientific Computing
  • MTH341 Financial Mathematics
  • MTH361 Mathematical Modeling and Applications
  • MTH412 Dynamical Systems
  • MTH421 Introduction to Partial Differential Equations
  • MTH420 Fourier Analysis
  • MTH461 Stochastic Processes

Graduate Courses

  • MTH501 Real analysis
  • MTH503 Probability and stochastic processes
  • MTH505 Numerical Analysis and applications
  • MTH507 Numerical linear algebra
  • MTH509 Partial Differential Equations
  • MTH511 Numerical Methods for partial differential equations I
  • MTH512 Numerical Methods for partial differential equations II
  • MTH513 Dynamical systems
  • MTH515 Mathematical Methods for Engineers
  • MTH517 Stochastic Calculus and applications
  • MTH521 Computational Statistics for Bioscience
  • MTH531 Scientific Computing
  • MTH532 Advanced Scientific Computing

Seminars

2014 Fall

  • InKyung Ahn, Korea University, Population models in heterogeneous environments
  • Jung-Kyoo Choi, Kyungpook National University, Assortation and the evolution of altruism
  • Dongho Chae, Chung-Ang University, Liouville type theorems in the fluid mechanics
  • Yong-Jung Kim, KAIST, Non-uniform random dispersal and its application to mathematical biology and physics
  • Myungjoo Kang, SNU, Level Set Method and its Numerical Techniques
  • Jin Keun Seo, Yonsei University, Medical image computing and experimental mathematics

2014 Spring

  • Masahiro Suzuki, Tokyo Institute of Technology, Stationary solutions to the Euler-Poisson equations for a multicomponent plasma
  • Imbo Sim National Institute for Mathematical Sciences, Analytical and Numerical Methods for Wave Propagation
  • Eui Soon Kim, Korea Institute for Defense Analyses, Decision Support System for C4I system
  • Moon-Jin Kang, The University of Texas at Austin, L^2 contraction for shocks of a scalar viscous conservation law
  • Eunha Shim, University of Tulsa, Mathematical modeling of infectious diseases
  • Jae Kyoung Kim, MBI, The Ohio State University, The validity of quasi steady-state approximations in discrete stochastic simulations
  • Dukbin Cho, Dongguk University, Isogeometric Analysis

2013 Fall

  • Sunmi Lee, Kyung Hee University, Epidemiological Models and Optimal Control Theory
  • Young-Pil Choi, Imperial College London, Complete synchronization of 1st and 2nd order of Kuramoto oscillators
  • Jae Ryong Kweon, POSTECH, What is the singular behavior of compressible viscous flows at the vertices?
  • Chaeshin Chu, KCDC(질병관리본부), 한국 법정감염병의 현황과 발생 예측
  • Hunseok Kang, Soongsil University, Three species modeling for Wormlike Micellar Fluid
  • Yangjin Kim, Konkuk University, How to cure a cancer?: Practical modeling for eradicating tumor cells

2013 Spring

  • Shinya Nishibata, Tokyo Institute of Technology, Shock waves for a model system of the radiating gas
  • Hunki Baek, Catholic University of Daegu, On the dynamics in a predator-prey system
  • Tae-soo Chon, Pusan National University, Variance and Invariance in Response Behaviors of Animals under Chemical Stress

2012 Fall

  • Hyeonbae Kang, Inha University, Spectral analysis of Neumann-Poincare operator and applications
  • Minkyu Kwak, Chonnam National University, Some results related to Navier-Stokes equations
  • Hyung-Chun Lee, Ajou Universiy, A Stochastic sparse grid collocation method for stochastic optimal control problems
  • Hyun-Min Kim, Pusan National University, Numerical Methods for Solving Nonlinear Matrix Equations
  • Byung-Chun Shin, Chonnam National University, Spectral element collocation method for interface problems
  • Il Hyo Jung, Pusan National University, Mathematical Models and their Applications to Biology
  • Chongseok Hyun, Ajou University, Optimal Hedging of a Contingent Claim with Ambiguity Aversion
  • Young Mok Jeon, Ajou University, The hybridized numerical schemes for PDE's
  • Kang Kyungkeun, Yonsei University, On regularity for coupled chemotaxis-fluid equations
  • Hyeong-ohk Bae, Ajou University, The Cucker-Smale flocking model interacting with an incompressible viscous fluid
  • Sungik Sohn, Ganuneung-Wonju National University, Modeling and Simulations of Hydrodynamic Instability
  • Younghae Do, Kyungpook National University, Resonance problems on slow passage
  • Seung-Yeol Ha, Seoul National University, Collective behaviors of many-body particle systems
  • Dongwoo Sheen, Seoul National University

2012 Spring

  • Masahiro Suzuki, Tokyo Institute of Technology, The hierarchy of models for semiconductors
  • Eun-Jae Park, Yonsei University, Adaptive Finite Element Methods
  • Yongkuk Kim, Kyungpook National University, Mathematical epidemiology and its applications
  • Inbo Sim, University of Ulsan, Introduction to global bifurcation theory and its applications to p-Laplacians with singular weight functions
  • Kyeong-Hun Kim, Korea University, Introduction to stochastic differential equations and their applications I
  • Kijung Lee, Ajou University, Introduction to stochastic differential equations and their applications II
  • Yonghan Kang, Catholic University of Daegu, Optimal control of an SIR epidemic model
  • Juan Lopez, Arizona State University and Kyungpook National University, Instabilities and inertial waves in rapidly rotating flows