Research Achievements

The Reverse-Tracking Problem Solver

Professor Park Won-Kwang, Department of Information Security, Cryptography and Mathematics

  • Field

    Science, Engineering

  • Project Leading Organization

    Ministry of Science and ICT

Date Hit

Solving Real-World Problems with Computational Science

Professor Park Won-Kwang of the Department of Information Security, Cryptography and Mathematics at Kookmin University leads the Scientific Computing Lab, conducting research in the applied mathematics field of Inverse Problems. His recent work centers on Microwave Imaging, developing theories and computational algorithms to mathematically track invisible internal information.

Inverse problems involve deducing the cause from a given effect, forming the core foundation for diverse technologies such as medical imaging, structural safety diagnostics, and underground space detection. Professor Park researches methods to solve these problems more accurately and efficiently through computational science approaches.

 

Research Direction of the Scientific Computing Lab

Most real-world problems are complex and computationally intensive. The Scientific Computing Lab develops algorithms to solve inverse problems using numerical analysis and computer-based methods, with a primary goal of establishing mathematical theories to analyze and improve upon the limitations of existing methods.

 

Combining Microwave Imaging and Artificial Intelligence

Microwave imaging leverages the penetrative properties of electromagnetic waves to analyze internal structures, holding significant potential for application in medical, industrial, and safety-related fields. Recently, by integrating machine learning and physics-based artificial intelligence, the lab is researching methods to solve inverse problems quickly and accurately while reducing computational burden.

 

Research Philosophy and Approach to Education

Professor Park places the utmost importance on critical thinking and communication in both education and research. He believes that constantly questioning existing research and engaging in mathematical dialogue with researchers from other disciplines leads to new research.

Rather than prioritizing outcomes, he emphasizes the process of thinking independently and challenging themselves, encouraging students to gain experience solving real-world problems through mathematics.

 

Park Won-Kwang Research Lab Introduction Page

Kookmin University Department of Information Security, Cryptography and Mathematics Homepage

 

 

The Reverse-Tracking Problem Solver: Professor Park Won-Kwang, Department of Information Security, Cryptography and Mathematics Scientific Computing Lab

The lab conducts research on inverse problems within applied mathematics, developing computational algorithms and establishing mathematical theories that identify limitations and paths for improvement.
Computational science provides tools for solving complex problems that cannot be addressed by hand, using numerical methods or computer engineering.

This video covers the following topics:
00:10Introduction to the lab
00:34Primary research areas
01:05Key research theme: Inverse Problems
01:37 ✅Research field: Microwave Imaging
02:25Real-world applications of computational science, inverse problems, and microwave imaging
03:12 ✅How AI and machine learning contribute to solving inverse problems
04:42Reasons for selection among the Ministry of Education's Top 50 Outstanding Achievements Academic Research Support Program
05:24Aspect most considered when teaching students
06:32Core research philosophy or belief
07:31New research topics and ultimate research goal
08:05Advice and encouragement for students who wish to change the world through mathematical and scientific inquiry
 

TOP