Projects per year

# Organization profile

### Organisation profile

The department is committed to excellence in undergraduate and graduate training as well as in research and scholarship in pure and applied mathematics. Additionally, we serve the entire student population at the National Cheng Kung University by providing required courses in Mathematics. The Department population includes approximately 60 graduate students, over 240 undergraduate majors, and numerous students completing minors.
Our faculty conducts active research in a broad range of areas, from algebra, analysis, and geometry to numerical analysis and scientific computing, operation research, probability and statistics. The department's faculty includes a University Distinguished Professor, and recipients of national awards. Over the 2 years, a large percentage of the faculty has been awarded grants and contracts from external funding agencies, with total awards averaging about NT$14.7 million per year. The commitment in both teaching and research is also recognized by the QS (Quacquarelli Symonds) World University Ranking. In 2012, 2013, the department is ranked in the top 51-100, and in 2014 the department is ranked in the top 101-150 in the QS World University Ranking by Subject-Mathematics.
During the academic year we hold a weekly department colloquium and a number of research seminars. Also, we sponsor or organize several regular workshops, or conferences each year on topics including algebra, geometry, numerical computation, operation research, or partial differential equations.
The department actively promotes mathematics to the broader community through a variety of activities, including organizing a series of courses and Math Camps activities for high school students and teachers.

## Fingerprint The fingerprint is based on mining the text of the scientific documents related to the associated persons. Based on that an index of weighted terms is created, which defines the key subjects of research unit

Unique Continuation
Mathematics

Near-ring
Mathematics

Estimate
Mathematics

Invariant
Mathematics

Moduli Space
Mathematics

Carleman Estimate
Mathematics

Boltzmann Equation
Mathematics

Genus
Mathematics

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Network
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## Profiles

## Projects 1995 2018

## Research Output 1987 2018

## An accelerated technique for solving one type of discrete-time algebraic Riccati equations

Lin, M. M. & Chiang, C. Y., 2018 Aug 15, In : Journal of Computational and Applied Mathematics. 338, p. 91-110 20 p.Research output: Contribution to journal › Article

Positive Definite Solution

Algebraic Riccati Equation

Riccati equations

Discrete-time

H∞ Control

## An algebraic construction of solutions to the mean field equations on hyperelliptic curves and its adiabatic limit

Liou, J-M. & Liu, C-C., 2018 Jul, In : Proceedings of the American Mathematical Society. 146, p. 3693 3707 p.Research output: Contribution to journal › Article

Weierstrass Point

Mean Field Equation

Hyperelliptic Curves

Pi

Genus

## An iterative method for solving the stable subspace of a matrix pencil and its application

Lin, M. M. & Chiang, C. Y., 2018 Jul 3, In : Linear and Multilinear Algebra. 66, 7, p. 1279-1298 20 p.Research output: Contribution to journal › Article

Matrix Pencil

Subspace

Iteration

Square root

Matrix Square Root