Lectures related to Transport of Pollutants: Numerical Analysis and Equations

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.

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

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

Explores the equations and numerical solutions in climate modeling, highlighting uncertainties in climate projections.

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Covers the resolution of a Cauchy problem using a general solution approach for differential equations.

Covers linear differential equations with constant coefficients and introduces the method of good choice for finding particular solutions.

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

Explores the parabolic heat equation evolution and numerical solution methods.

Covers the numerical resolution of a Cauchy problem using separation of variables and discusses the conditions for the solution's validity.

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Explores power series solutions in quantum mechanics for differential equations and energy quantization.

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.