Data Driven Modeling
&
Scientific Computation

Mathematical Methods for Networked Dynamical Systems

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    Time-Stepping Schemes for Future State Prediction

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    Local and Global Error in Time-Stepping

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    Stability Regions for the Euler Numerical Scheme

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    Systems of Differential Equations for Time-Stepping

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    Dynamical Systems that Exhibit Chaotic Behavior, i.e. the 3-body Problem

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    Two-Dimensional Quadrature for Integration

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    Cummulative Integration Rules

Certified Reduced Basis Methods and Finite Element Methods

 

The development of numerical solution techniques for parametric elliptic problems.
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