Methods for Dimensionality Reduction and Model Reduction
LOADING
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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.