Boundary Problems in 1D: Part 1

Related lectures (26)

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Covers the analysis and solution of diffusion equations using Green's function approach and discusses boundary conditions and dimensional analysis.

Discusses the numerical analysis of pollutant transport equations and their applications in environmental modeling.

Covers the Cauchy problem in differential equations, focusing on initial conditions and their impact on solution uniqueness.

Introduces tempered distributions, covering acceleration, force, impulse, and short duration shocks.

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Discusses electrostatics, Green's functions, and the application of complex analysis in deriving potentials.

Explores Magnetohydrodynamic equilibrium and stability, ideal MHD solutions, 'hairy ball' theorem, and boundary conditions.

Explores uncertainty quantification using Quasi Monte Carlo methods and discrepancy measures for integral approximation and volume estimation.

Explores the Fokker-Planck and KPZ equations in stochastic processes and random growth models.

Covers the concept of elliptic problems and their applications in various scenarios.