Computational Methods in Theoretical Science by George Em. Karniadakis and Linda Petzold

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Explore rigorous mathematical formulations, stochastic simulations, hybrid deterministic-stochastic systems, and more in the field of theoretical and computational methods led by George Em. Karniadakis and Linda Petzold. Dive into topics such as memory statistical thermodynamics, machine learning, numerical methods, and incorporating cellular substructure into reaction-diffusion models.

  • Computational Methods
  • Theoretical Science
  • Stochastic Simulations
  • Mathematical Formulations
  • Machine Learning

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Presentation Transcript


  1. WG on Theoretical & Computational Methods George Em Karniadakis (Brown U) & Linda Petzold (UCSB)

  2. Possible Topics/Directions Rigorous Mathematical Formulations Coarse-Graining Formulations, e.g. Mori-Zwanzig; memory Statistical Thermodynamics; beyond Mean Field theory Theorem-proofing using simulations Uncertainty & Stochastics Model uncertainty vs parametric uncertainty Hybrid deterministic-stochastic systems Inference in stochastic networks Data-Driven Multi-Fidelity Stochastic Simulation Machine learning & Kriging-coKriging Numerical Methods Taxonomy of methods used in MSM More emphasis on mesoscopic methods (SPH, DPD, LBM, )

  3. Incorporating Cellular Substructure into Reaction-Diffusion Models Presenter: Samuel Isaacson, Boston University Webinar Date: Monday, November 9, 2015 - 2:30pm Stochastic Simulation at Your Service Presenter: Linda R. Petzold, University of California Santa Barbara Webinar Date: Monday, December 14, 2015 - 3:00pm Theory, Algorithms and Applications of Dissipative Particle Dynamics Meeting Date: Monday, September 21-23, 2015 Meeting Location: Shanghai University

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