Classification of PDEs: Linear, Semi-linear, Quasi-linear

Related lectures (29)

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Explores linear partial differential equations, elliptic PDEs, Laplace equation, boundary conditions, and classical solutions.

Discusses eigenvalues, their calculation methods, and their applications in optimization and numerical analysis.

Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.

Covers the model problem of elliptic PDEs with weak formulation and classical solutions.

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

Introduces the basics and classification of partial differential equations, including notation, definitions, and examples.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Covers ODE RK schemes, including explicit RK stages and accuracy computation.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.