Numerical Methods for Boundary Value Problems

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Introduction to MATLAB Tools and Installation

Covers the introduction to MATLAB tools and provides installation instructions for Thermodynamics-based Flux Analysis, including pre-requirements like GIT and CPLEX.

Numerical Methods for Physics: Iterative Solutions and Mesh Convergence

Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.

Internal Forced Convection: Hydrodynamic Aspects

Covers the hydrodynamic and thermal aspects of internal forced convection.

Parabolic Heat Equation: Modeling and Simulation

Explores the parabolic heat equation evolution and numerical solution methods.

Tissue-level Wave Patterns: Cellular Oscillators and Genetic Waves

Explores tissue-level wave patterns, cellular oscillators, genetic waves, and gene expression patterns in cellular differentiation.

Statistical Signal Processing

Covers Gaussian Mixture Models, Denoising, Data Classification, and Spike Sorting using Principal Component Analysis.

Finite Differences in Advection-Diffusion

Explores the explicit 2-level scheme for advection-diffusion and the convergence of digital solutions.

Matlab: Interactive Mode and Project Steps

Introduces Matlab basics, error handling, and billiards project concepts.