What’s Next?

Quite a lot! Here are some research directions I am looking forward to pursuing next:

  • Applying forward simulation techniques I’ve developed to novel scientific contexts

  • Efficient forward simulations for solving inverse problems

  • Incorporating data science of observations to better guide numerical simulations to the right initial hypotheses

  • Combining Machine Learning surrogate modeling with multiscale simulation frameworks with reliable error control

  • Adaptive subgrid methods that more efficiently use computational resources by adapting our accuracy to each term in the PDE system we model

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