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Computational and Applied Mathematics Seminar

SAS 4201

Speaker: Carter T. Butts, UC Irvine Title: Network Hamiltonian Models for Protein Aggregation Abstract: The self-assembly of individual protein monomers into larger structures is a fundamental biophysical process of considerable functional importance; unfortunately, not all such structures are functional.  Pathological protein aggregation is a critical factor in the etiology of diseases ranging from Alzheimer's and Lewy Body Dementia…

Computational and Applied Mathematics: Anuj Abhishek, Case Western Reserve University, Operator Learning for Inverse Problems

SAS 4201

Neural operators such as Deep Operator Networks (DeepONet) and Convolutional Neural Operators (CNO) have been shown to be fairly useful in approximating an operator between two function spaces. In this talk, we will briefly review two inverse problems that arise in Medical Imaging, namely EIT and QPAT. We will also describe the relevant operator learning architectures.…

Computational and Applied Mathematics: Shriram Srinivasan, Los Alamos National Laboratory, Hierarchical Network Partitioning for Efficient Solution of Steady-State Nonlinear Network Flow Equations

SAS 4201

Natural gas production and distribution in the US is interconnected continent-wide, and hence the simulation of fluid flow in pipeline networks is a problem of scientific interest. While the problem of steady, unidirectional flow of fluid in a single pipeline is simple, it ceases to be so when we consider fluid flow in a large…