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Elliptic partial differential equation
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Related lectures (31)
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Linear Partial Differential Equations
Explores linear partial differential equations, elliptic PDEs, Laplace equation, boundary conditions, and classical solutions.
Partial Differential Equations and Hessians
Covers partial differential equations, Hessians, and the Implicit Function Theorem, with a focus on exam question resolution.
The Black-Scholes-Merton Model
Covers the Black-Scholes-Merton model, dynamics, self-financing strategies, and the PDE.
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.
Numerical Approximation of PDEs
Covers the numerical approximation of PDEs, including Poisson and heat equations, transport phenomena, and incompressible limits.
Laplace Transforms in Chemistry and Engineering
Covers Laplace transforms in chemistry and engineering, exploring their applications and properties.
Extension Theorems: Sobolev Spaces and Poincaré Inequality
Covers extension theorems in Sobolev spaces and Poincaré inequality, emphasizing the importance of understanding these concepts in partial differential equations.
Biomechanics Modeling: Musculoskeletal System
Explores biomechanical modeling of the musculoskeletal system using differential equations and finite element modeling.
Boundary Conditions and Basis Decomposition
Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.
Parabolic Equations in Structural Engineering
Explores the use of parabolic equations in structural engineering, emphasizing span geometry and prestressing forces.