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Related lectures (30)
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Function Approximations
Covers continuous functions with compact support, density, and approximation, focusing on the heat equation.
Laplacian: Basics and Examples
Covers the basics of the Laplacian operator applied to scalar fields and its importance in mathematical models.
Heat Equation: Stationary Distribution
Explores the heat equation, equilibrium equations, heat flux, and harmonic functions in heat distribution.
Heat Equation: Diffusion
Covers the heat equation for diffusion and conservation of thermal energy.
Optimal Transport: In-Depth Evaluation
Explores optimal transport theory with a focus on heat equations and Wasserstein distance.
Heat Equation: Core and Solutions
Explores the heat equation core, solutions, and diffusion behavior over time.
Modeling Heat Equation
Covers the modeling of the heat equation using Laplacian operator and Riemann varieties.
Thermal and Atomic Diffusion
Covers thermal and atomic diffusion, including heat equation, activation energy, and diffusion coefficient.
Thermal FEM: Steady State and Transient Analysis
Explores steady-state and transient thermal analysis of silicon beams, including convection effects and practical exercises.
Thermo-mechanics: Thermal and Mechanical Problems
Explores thermal and mechanical problems in thermo-mechanics, covering the heat equation, total strain, and stress analysis modeling.