MATLAB tutorials

View the .m files in MATLAB.

The following are HTML files created with the publishing option in MATLAB. We suggest you read them in this order.

Introductions

• Definitions and operations
• Differentiation and integration
• Sparse and full matrices
• Structures
• Eigenvalue problems
• Solving linear systems
• ODEs
  • Solving an ODE
  • Lotka-Volterra equations
  • Two-box LV system
  • Forced damped pendulum
• Time Series
  • Time series analysis
  • Wavelet coherence
• Spectral Analysis
  • 1D spectral analysis
  • 1D spectral windowing
  • 2D spectral analysis
• Parallel and GPU
  • 3D graphics
  • Graphics annotation
  • Graphics changes
  • Exporting graphics
  • Large datasets
  • Graphics structures

PDEs

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• 3D wave equation
• Waves on an annular domain
• Burger's equation and filtering
• Reaction-diffusion equation
• Helmholtz problem
  • Spectral Helmholz solver
  • Finite difference preconditioned Helmholtz solver
• Boundary Conditions
  • Boundary conditions with diffusion operator
  • Boundary conditions with the diffusion operator step
  • Evolving the variable-diffusivity diffusion equation
• Sturm-Liouville eigenvalue problem

Stochastics

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• Ito vs Stratonovich
• Ito convergence
  • Convergence of Ito scheme
  • Convergence of multiplicative Ito scheme
• Stochastic potential well with driving and red noise
• Gillespie's algorithm (SSA)
• Pendulum (red and white noise)
  • Stochastic pendulum with white noise
  • Stochastic pendulum with red noise
• Stochastic hunter-prey model in 2D