
Solution of Physicsbased Bayesian Inverse Problems with Deep Generative Priors
Inverse problems are notoriously difficult to solve because they can hav...
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A pressurecorrection and boundpreserving discretization of the phasefield method for variable density twophase flows
In this paper, we present an efficient numerical algorithm for solving t...
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A discontinuous Galerkin method for a diffuseinterface model of immiscible twophase flows with soluble surfactant
A numerical method using discontinuous polynomial approximations is form...
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Multilevel Monte Carlo Finite Difference Methods for Fractional Conservation Laws with Random Data
We establish a notion of random entropy solution for degenerate fraction...
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Iterative Surrogate Model Optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks
We present a novel active learning algorithm, termed as iterative surrog...
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On the approximation of rough functions with deep neural networks
Deep neural networks and the ENO procedure are both efficient frameworks...
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ConstraintAware Neural Networks for Riemann Problems
Neural networks are increasingly used in complex (datadriven) simulatio...
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Deep learning observables in computational fluid dynamics
Many large scale problems in computational fluid dynamics such as uncert...
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