Partial Differential Equations

Neural Networks to Accelerate Scientific Computing
Development and application of neural networks to accelerate scientific computing in areas of mechanistic simulation, parameter estimation, model selection, and optimization of materials and structures.
Neural Networks to Accelerate Scientific Computing
Residual-based error corrector operator to enhance accuracy and reliability of neural operator surrogates of nonlinear variational boundary-value problems
This work focuses on developing methods for approximating the solution operators of a class of parametric partial differential …
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Mutual-Information Based Optimal Experimental Design for Hyperpolarized 13C-Pyruvate MRI
A key parameter of interest recovered from hyperpolarized (HP) MRI measurements is the apparent pyruvate-to-lactate exchange rate, kPL, …
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