The Mathematics and Engineering Division drives innovation through advanced research in mathematical modeling, computational methods, and engineering solutions for complex challenges in science and industry. The division’s mission is to create mathematical frameworks and engineering designs that address issues ranging from fluid dynamics and thermal systems to large-scale structural engineering projects, aiming to enhance sustainability and resilience.

• High-Performance Computing (HPC) Algorithms: Designing and optimizing algorithms for data-intensive applications, enabling faster and more accurate modeling in fields like fluid mechanics, structural analysis, and energy systems.
• Optimization and Control Theory: Developing methods to enhance the performance, efficiency, and resilience of engineering systems in areas like mechanical and civil engineering.
• Sustainable Engineering Innovations: Creating solutions that promote sustainability and resilience across engineering disciplines, with applications in renewable energy, smart infrastructure, and environmental engineering.

• Fluid Dynamics and Thermal Systems: Simulating fluid flow, heat transfer, and related processes to support research in natural and engineered systems.
• Structural and Mechanical Design: Designing and analyzing structural and mechanical systems for applications in various fields, with a focus on safety and efficiency.
• Advanced Numerical Methods: Developing numerical methods to solve complex engineering problems, particularly those requiring HPC resources.
• Optimization for Engineering Applications: Applying optimization techniques and control theory to improve the performance and stability of engineering systems.
• Interdisciplinary Applications of Mathematical Models: Working with other divisions to apply mathematical frameworks in areas such as robotics, biology, and digital twins.