Reduced Order Modeling

Methods for Dimensionality Reduction and Model Reduction

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    Advanced Numerical Algorithms through MATLAB

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    Three-body Problem of Celestial Mechanics and Chaotic Behavior

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    Programming in MATLAB

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    Gradient Descent for Optimization

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    Fourier Transform and Applications

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    Quadrature Rules for Integration

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    Newton-Raphson Iteration Methods

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    Principal Component Analysis from SVD

About This Course

 

This webpage is designed to provide an introduction and overview of reduced order modeling (ROM) and dimensionality reduction for scientific computing applications. This is a work in progress and will have ongoing development over the academic year 2016 and 2017. Included are supplementary materials related to each lecture.

 

 

Topics Covered

Below are the mathematical subjects covered in ROMs.

  • Introduction to MATLAB and programming
  • SVD & Proper Orthogonal Decomposition
  • Nonlinear Model Reduction
  • Balanced Truncation (Fall 2016)
  • Reduced Basis Methods (Fall 2016)
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© 2016 kutz