Advanced topics in the theory and application of computational science and engineering. Three lecture hours a week for one semester. May be repeated for credit when the topics vary.
Recent topics
- Computational Imaging/Inverse Problems (Fall 2023)
- Computational Methods in Radiation Transport (Fall 2022)
Transport equation, Monte Carlo method, energy and time discretization, discrete ordinates, integral methods, and even-parity methods.
- Computational MRI (Spr 2023)
Explores the principles of MRI, including basic system hardware, spin physics, signal formation, contrast mechanisms, pulse sequence design, image detection, and image reconstruction.
- Dynamics of Turbulent Flow (Spr 2021)
- Foundations of Predictive Computational Science (Spr 2020)
- Introduction to Dynamic Medical Image Analysis (Fall 2022)
Computational and image processing methods commonly used to infer patient-specific biomechanical properties from dynamic medical imaging. Examine the clinical advantages of image-processing and computationally-based functional imaging over traditional imaging modalities. Emphasis on pulmonary function applications in radiation oncology and radiology, numerical implementations, and current limitations.
- Solving PDE-based Problems in Biomedical Engineering (Fall 2024)
Discuss the finite element method in the context of conducting proof of principal biomedical engineering projects, in addition to basics of neural networks and their application in solving many classes of partial differential equations.