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Heat Equation: Core and Solutions
Explores the heat equation core, solutions, and diffusion behavior over time.
Diffusion Equation: Continuum Description
Covers the diffusion equation and its applications in various coordinate systems.
Boundary Conditions and Basis Decomposition
Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.
Maximum Entropy Principle: Stochastic Differential Equations
Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.
Diffusion on a Limited Domain
Covers time-dependent diffusion on a limited domain with boundary conditions and solution methods.
Diffusion in Concentration Coordinates
Explores diffusion in concentration coordinates and boundary conditions in different systems.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Heat Equation: Basics and Stability Estimates
Explores the basics of the heat equation, focusing on diffusion and stability estimates.
Diffusion of Neutrons
Explores Fick's law, neutron balance, scattering, and diffusion length in the context of neutron diffusion.
Heat Diffusion with Heat Sources
Explores heat diffusion in 1D steady-state conduction with heat sources and discusses thermal resistance and Kirchhoff's laws.