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The essence of science is to derive principles from observations, thus revealing simple structures behind what appears to be a complex phenomenon. Mathematical sciences, in particular, use mathematical approaches to investigate "mathematical models", which are derived experimentally. The modern frontier of mathematical sciences considers various new mathematical models including those for biological and social phenomena, in addition to more traditional ones in natural sciences. These models are investigated through analytical approaches as well as numerical simulations for understanding of the phenomena. The knowledge thus obtained is employed to develop innovative technologies or to predict the future, while new methodologies are devised for deeper understanding of phenomena. Our department pays particular attention to large scale and/or highly non-linear complex phenomena in its research and education. Particularly in education, we aim at providing students with both scientific viewpoints which help them understand principles as well as engineering viewpoints which are useful in solving real problems in manufacturing. These double viewpoints will give students comprehensive perspectives over science and engineering in mathematical sciences. We look forward to ambitious applicants interested in advanced mathematical sciences.

Sub-department of Applied Analysis


 ISO, Yuusuke, D.Sc.(Kyoto Univ.),
 Numerical Analysis, 
 Mathematical Analysis of Inverse and Ill-posed Problems

 KIGAMI, Jun, D.Sc.(Kyoto Univ.),
 Analysis and Dynamical System,
 Analysis on Fractals

Associate Professor
 FUJIWARA, Hiroshi, Ph.D.(Informatics, Kyoto Univ.),
 Numerical Analysis of Inverse and Ill-Posed Problems,
 Computer Arithmetic

Senior Lecturer
 KUBO, Masayoshi, D.Sc.(Kyoto Univ.),
 Mathematical Analysis of Inverse and Ill-posed Problems,
 Numerical Analysis

Senior Lecturer
 SHIRAISHI, Daisuke, Ph.D. (Science, Kyoto Univ.),
 Probability Theory

Senior Lecturer
 CHEN, I-Kun, Ph.D. (Univ. Maryland),
 Mathematical Analysis of Partial Differential Equations

Sub-department of Nonlinear Physics


 AOYAGI, Toshio, D.Sc.(Kyoto Univ.), Theory of Neural Networks,
 Nonlinear Dynamics, Nonequilibrium Statistical Physics

Senior Lecturer
 MIYAZAKI, Syuji, D.Sc.(Kyushu Univ.), Large Deviation Theoretical Analysis,   
 Spatiotemporal Dynamics

Assistant Professor
 HARADA, Kenji, D.Eng.(Kyoto Univ.), Computational Physics

Assistant Professor
 TUTU, Hiroki, D.Sc.(Kyushu Univ.), Ordering Process and Pattern Formation

Current research activities cover the following fields:

Group of Nonlinear Dynamics and Computational Physics
(Senior Lecturer: MIYAZAKI Syuji, Assistant Professor: HARADA Kenji)
  1. Nonlinear dynamics and chaos
  2. Nonequilibrium statistical physics
  3. Condensed matter theory
  4. Numerical algorithm for many-body problem : Monte Carlo, tensor network
Group of Nonequilibrium Physics and Theoretical Neuroscience
(Professor: AOYAGI Toshio, Assistant Professor: TUTU Hiroki)
  1. Theoretical neural science (mathematical modeling of the brain)
  2. A collection of dynamical systems linked through a network with evolving structure (neurons, social networks, etc.)
  3. Analysis of rhythm phenomena (entrainment transition)
  4. Stochastic modeling for molecular machines
  5. Modeling social systems based on game dynamics on networks

Sub-department of Applied Mathematical Sciences

Computational Mechanics

 NISHIMURA, Naoshi, D.Eng.(Kyoto Univ.), 
 Computational Mechanics, Applied Mechanics, 
 Boundary Integral Equation Methods, Fast Multipole Methods

Associate Professor
 YOSHIKAWA, Hitoshi, D.Eng.(Kyoto Univ.),
 Computational Mechanics, Applied Mechanics

Assistant Professor
 NIINO, Kazuki, Ph.D.(Informatics, Kyoto Univ.),
 Boundary Integral Equation Methods, Computational Electromagnetics

Computer simulations provide powerful means of solving various problems in science and engineering. Computational mechanics is one of such approaches which, along with theoretical and experimental mechanics, investigates mechanical phenomena efficiently. This division develops various approaches of the Boundary Integral Equation Method (BIEM), which is one of major techniques of computational mechanics and is considered suitable for the analyses of phenomena such as waves, fracture, etc. We are currently interested in fast BIEMs and their applications to large scale problems.

Fluid Dynamics, Non-equilibrium Gas Dynamics, Kinetic Theory

Associate Professor
 TAGUCHI Satoshi, D.Eng.(Kyoto Univ.),
 Fluid Dynamics, Non-equilibrium Gas Dynamics, Kinetic Theory

Our main research interest is to clarify the behavior of non-equilibrium gas flows and to establish theories to describe them. Through theoretical and/or computational investigations applied to kinetic equations, describing the statistical behavior of many particles, we elaborate new continuum theories applicable to non-equilibrium flows. We also derive and construct related mathematical models for non-equilibrium flows and clarify the relations between various fluid models.