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Elliptic partial differential equation
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Related lectures (31)
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Partial Differential Equations: Basics
Covers the basics of Partial Differential Equations, including well-posedness, operators, and classification of physical PDEs.
Numerical Methods: Boundary Value Problems
Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.
Partial Differential Equations: Classification and Solutions
Covers the classification and solutions of partial differential equations, including Laplace transform and separation of variables techniques.
Density Results in Sobolev Spaces
Explores density results in Sobolev spaces, emphasizing their applications and proof techniques.
Finite Difference Methods: Linear Systems and Band Matrices
Covers the application of finite difference methods to solve partial differential equations.
Variational Methods in Mechanics
Covers variational methods in mechanics, focusing on the Ritz-Galerkin method.
Fundamental Solutions
Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.
Partial Differential Equations: Characteristics and Solutions
Explores characteristic curves and solutions in partial differential equations, emphasizing uniqueness and existence in various scenarios.
Partial Differential Equations: Laplace Equation
Explains the Laplace equation in 2D with mixed boundary conditions.
Partial Differential Equations: Solutions and Applications
Explores solutions to partial differential equations and their applications in various scenarios.