Introduction to Partial Differential Equations

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Page 3 of 3

Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.

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

Covers the numerical approximation of PDEs and examples of nonlinear behavior.

Explores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.

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

Explores numerical methods for solving partial differential equations computationally, emphasizing their importance in predicting various phenomena.

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.