Lectures related to Parametric Continuation of Invariant Solutions

Explores uniformly elliptic operators, their properties, and applications in solving differential equations and boundary value problems.

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

Explores the applications of the Fourier equation in heat transfer phenomena.

Explores beam buckling, moment-curvature relation, deflection, and fundamental beam solutions in structural mechanics.

Explores casting ODEs into self-adjoint form and the role of boundary conditions in ensuring self-adjointness.

Covers the theory and applications of Green's function in solving differential equations.

Explains the differential method for calculating internal forces in beams and handling discontinuities at point loads.

Covers the material point model, initial conditions, and Newton's laws in physics.