Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Home

Lecture

Casting ODEs into Sturm-Liouville form

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (51)

Buckling of Beams: Moment-Curvature Relation Log in to Mediaspace to watch this video

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

Heat Transfer Applications Log in to Mediaspace to watch this video

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

Analysis IV: Laplace Equation Solutions Log in to Mediaspace to watch this video

Explores Laplace equation solutions through separation of variables and general solution writing for complex problems.

Differential Relations for Internal Forces Log in to Mediaspace to watch this video

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

Climate Modeling: Equations, Numerical Solutions, and Uncertainties Log in to Mediaspace to watch this video

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

Parametric Continuation of Invariant Solutions Log in to Mediaspace to watch this video

Explores parametric continuation of invariant solutions and influence matrix in differential equations.

Vibrating Strings: Mathematical Analysis and Fourier Series Log in to Mediaspace to watch this video

Provides an overview of the mathematical analysis of vibrating strings using Fourier series and Laplace transforms.

Poisson Equation: Uniqueness and Green Function Log in to Mediaspace to watch this video

Discusses the uniqueness of solutions for the Poisson equation and introduces the concept of Green function.

Distribution & Interpolation Spaces Log in to Mediaspace to watch this video

Explores distribution and interpolation spaces, differential operators, Fourier transform, Schwartz space, fundamental solutions, Farrier transform, and uniform continuity.

Homogeneous Differential Equations Log in to Mediaspace to watch this video

Explores solving homogeneous differential equations using polynomials to find solutions step by step.

Ordinary Differential Equations Log in to Mediaspace to watch this video

Covers the solution of ODEs using Picard's iteration and Riccati equations.

Method of Plates with Coefficients Log in to Mediaspace to watch this video

Covers the method of plates with coefficients to find solutions of differential equations.

Introduction to PDES Log in to Mediaspace to watch this video

Covers harmonic functions, Laplacian operator, Dirichlet and Robin problems, and sub-harmonic functions in Partial Differential Equations.

Weak Formulation of Elliptic PDEs Log in to Mediaspace to watch this video

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Frames & Arches: Internal Loads Log in to Mediaspace to watch this video

Covers the matching conditions for frames and arches, discussing the discontinuities in V and M.

Finite Elements Method: Error Estimation Log in to Mediaspace to watch this video

Explores a priori error estimation in the finite elements method, covering convergence analysis, orthogonality, weak formulations, and optimal precision.

Finite Element Modeling: Introduction Log in to Mediaspace to watch this video

Introduces finite element modeling for numerical solutions to complex problems.

Example: 1D steady diffusion Log in to Mediaspace to watch this video

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

Translation Groups on [0,1]Log in to Mediaspace to watch this video

Covers the study of translation groups on the interval [0,1] with different phases and the Riesz representation theorem on Hilbert space.

Existence of Minimizers: Direct Methods Log in to Mediaspace to watch this video

Covers direct methods for finding minimizers in the Poisson equation, emphasizing the importance of convexity and boundary conditions.

Page 2 of 3