This project was performed to practice a common approach to using the Spectral Method with the fourier Galerkin approach to solving PDE's. Specifically, we'll be ...

1 Department of Mathematics and Statistics, University of Massachusetts Amherst, Amherst, MA, United States 2 School of Mathematics, Georgia Institute of Technology, Atlanta, GA, United States ...

Abstract: Mean field game theory was developed to analyze Nash games with large numbers of players in the continuum limit. The master equation, which can be seen as the limit of an N-player Nash ...

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I have two rectangular regions, the constant alpha of the pde equation is equal to 0.025 on the inside and 0 on the outside, how should I define it, I tried tf.where, tf.greater/less, tf.cond, ...

Structural mechanics is commonly modeled by (systems of) partial differential equations (PDEs). Except for very simple cases where analytical solutions exist, the use of numerical methods is required ...

PDE discovery shows promise for uncovering predictive models of complex physical systems but has difficulty when measurements are noisy and limited. We introduce a new approach for PDE discovery that ...