Multiscale Analysis, Modelling and Simulation
Making Physics and Mathematics a Driving Force of Civilization
Multiscale Analysis, Modelling and Simulation Unit focuses on various fields such as quantum mechanics, biophysics, nonlinear dispersive equation research, mathematical fluid dynamics, rigorously validated computational mathematics, and fluid mechanics. As a result, we have established a doctoral program of education and research that will produce human resources capable of performing mathematically rigorous modelling based on physics, basic engineering, and simulations based on numerical analyses, enabling them to contribute to science and technology.
ACCOMPLISHMENTS
1 Teaching and Research Guidance at an International Level
The Unit has six joint appointment professors (the University of Pisa, Rice University, Flensburg University, the State University of New York, Darmstadt Technical University, and National Taiwan Normal University) and eight visiting professors who have been giving intensive lectures, special lectures, and international workshops, including online courses. The program has continuously provided students with an international standard of education. In addition, the Unit has been promoting publicity for its activities by posting select lectures on its YouTube channel. Waseda University has established the "Course in Mathematical and Physical Sciences" and sends students from the University to work as researchers abroad through organized efforts to promote international joint research.
In particular, we promote the development of internationally competitive young researchers and have sent 32 students abroad to date.
2 Enhancing Our Reputation Through Continuous International Workshops Hosted by Waseda University
The international workshop on "Fundamental Problems in Mathematical and Theoretical Physics" and the international workshop on “Multiphase Flows: Analysis, Modelling and Numerics" have been hosted by Waseda University since 2015.
In 2020, we held a joint session with the University of Oxford titled “Oxford-Waseda in Mathematics,” and from 2019 to 2022, we held online symposia in collaboration with the Positive/Empirical Analysis of Political Economy Unit to promote interest in mathematics and to promote interdisciplinary research. The symposia were catalysts for promoting interest in mathematics and interdisciplinary research in different fields.
3 Establishing the TGU course on Mathematical and Physical Sciences
The course (a doctoral program of the Faculty of Science and Engineering) promotes research and education in collaboration with prominent researchers and partner universities from around the world and is supported by the Multiscale Analysis, Modelling and Simulation Unit, Waseda University Top Global University Project. We have actively guided the students in presenting their research at international conferences, supporting their overseas travel, and helping them obtain research funding. As a result, 13 students have completed the program as of March 2023.
4 Establishing the International Joint Teaching Program
We have established the "Cotutelle program," an international joint mentoring program for doctoral students, in collaboration with Professor Vladimir Georgiev (University of Pisa and Waseda University).
In February 2022, a new online joint research program was established and implemented, and doctoral students in the Department of Physics/Applied Physics were awarded degrees from the two universities in the Cotutelle program. In 2023, we dispatched new doctoral students in Physics and Applied Physics. We will continue to promote the development of young researchers and international collaboration through this program.
5 Joint Publishing of Lecture Transcripts and Dissertation Collections
Professor Emeritus Yoshihiro Shibata (first head of the unit) and Professor Matthias Hieber (Technical University of Darmstadt and Waseda University) have collaborated to publish a textbook on the maximum regularity principle, Mathematical Analysis of the Navier-Stokes Equations (Springer) in 2020.
In addition, Swiss publisher Spring Nature’s Birkhäuser published the “Collected Papers in Honor of Yoshihiro Shibata” (Ed. Tohru Ozawa)in January 2023. The papers were authored by 32 world-renowned experts and leading researchers who have made significant contributions to the international activities of the Unit, including researchers who were graduate students in the International Externship Program “Mathematical Fluid Dynamics" (2009-2018). Additionally, Professor Tayfun E. Tezduyar (Joint Appointment Professor, Rice University and Waseda University) has edited Computational Fluid-Structure Interaction and Flow, highlighting cutting-edge research in simulation. The book『Frontiers in Computational Fluid-Structure Interaction and Flow Simulation』was published by Birkhäuser in 2018 and 2023.
GLOBAL RELATIONSHIPS
OUR LAST SYMPOSIUM
In academic year 2023, the final year of MEXT support period, we held a series of symposia to highlight the successful outcomes to date in the unit. The following is a report of the symposium.
MOVING FORWARD
Striving for uniformity in mathematics education in all schools of Waseda
We aim to provide cutting-edge mathematics education at Waseda with a forward-looking curriculum preparing our students for cutting-edge research. We aim to serve as a central coordination point for all research and education activities using mathematics so that we bring uniformity in all schools of Waseda. We will develop for master's students a training similar those for doctoral students, so that they can move seamlessly move to the doctoral program.
As an international research unit, always looking at ten years into the future
Our goal is not research contribution only in the near future, but also to give back to the society in the long term. International collaboration is essential for such novel research and education. We will continue our efforts in global research and education through our international network. To this end, we will establish a framework for collaborative research and create workspace that will enable researchers from Japan and abroad to work together at Waseda.