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Numerical Techniques for Atmospheric Modeling on Accelerators
Fully Nonlinear Second Order PDEs and Their Numerical Solutions
Entropy Stable Schemes for Nonlinear Conservation Laws: High Order Discontinuous Galerkin Methods and Reduced Order Modeling
Theory and Implementation of Local Boundary Conditions in Nonlocal Problems
Neural network integral representations.
Neural Network Integral Representations
Reduction of 3D axisymmetric models to 2D in peridynamics
Topological Data Analysis of Complex Networks
On strong stability of explicit Runge-Kutta methods
Deep Neural Networks motivated by PDEs
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