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ICMMES Presentation On: Rise of Intelligent Algorithms in Science and Engineering

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Last month I gave a talk at ICMMES on The Rise of Intelligent Algorithms in Science and Engineering, check it out here: Talk at ICMMES   

Computer Simulations and Space Weather

In the 1990s, the use of computer simulations as a virtual environment to model complex physical systems was gaining momentum, driven to a large extent by increase in computational power.   A common simulation technique consists of dividing the simulation domain into a computational grid, initializing the system and then updating the state of the system over time. At the time, I was looking into computer simulation techniques with an eye towards applications in plasma physics, such as fusion, space physics such as space weather, among others. A common characteristic among these applications is that different parts of the system evolve at different rates in time. An ideal algorithm would intelligently adapt the time step at each computational grid based on local conditions to achieve a desired accuracy. As it turns out, this is a very challenging task for the algorithms. The standard techniques, generally called time-stepped based, faithfully update the system at equal time steps