A Rich Society Opened Up by Computer Simulations
As part of my research on the boundary element method, I conducted studies on: 1) solving sequential shape optimization problems using the boundary element method, 2) optimal design of coil spring cross-sectional shapes using the boundary element method, and 3) research on adaptive mesh methods in the boundary element method. Additionally, I authored a text for engineering beginners on the boundary element method and finite element method titled "Numerical Methods for Partial Differential Equations," as well as a related text on linear algebra titled "Linear Algebra for Computation." The Trefftz method is a boundary-type analysis method, but it differs in that it uses integral equations without singularities. Therefore, I advanced research on the engineering applications of the Trefftz method, including: 1) proposing a sensitivity analysis method using the Trefftz method, 2) proposing a higher-order design sensitivity analysis method using the Trefftz method, 3) proposing an adaptive mesh method for the Trefftz method, 4) simulating the sloshing phenomenon of water surface waves using the Trefftz method, and 5) conducting thermal conduction analysis of functionally graded materials using the Trefftz method. I served as a guest editor for a special issue commemorating the 70th anniversary of the Trefftz method in an international journal. I also authored "Introduction to the Trefftz Method."
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【Features】 ○ Research on Traffic Simulation: Utilizing traffic simulation, I aim to design vehicle control algorithms aimed at alleviating traffic congestion, develop a unified traffic simulator for both people and vehicles, and evaluate the cognitive scientific impacts on traffic, as well as construct mathematical models of traffic accidents using this data. ○ Research on Economic Models and Simulations: There are several cognitive psychological effects considered in behavioral finance theory. Moving forward, I would like to study the modeling and impacts of other cognitive biases (such as anchoring bias and representativeness heuristic). ○ Proposal of an Element-Free Method based on the Trefftz Method: Through improvements in the formulation of the Trefftz method, I expect to propose a new Element-Free method based on it. ● For more details, please contact us.
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With the development of the information society, "information" has now become an important element that constitutes human society alongside material and energy. In this graduate school, we capture "information" from various perspectives such as engineering, natural sciences, computer science, humanities, social sciences, cognitive sciences, and life sciences, aiming to systematize "information" as an academic discipline and create new fields through the fusion of these domains. Our educational objective is to cultivate deep knowledge and exceptional abilities required for professions that demand high levels of expertise, through education and research on both the theory and application of information science, thereby contributing to the advancement of culture and training researchers, highly specialized technicians, and educators in information science. Additionally, our basic policy is not only to develop the ability to conduct cutting-edge research in information science but also to nurture individuals who understand the characteristics of society and culture and possess a social ethical perspective, engaging in comprehensive educational and research activities that incorporate various new initiatives.
