Lectures related to Shells III: Reissner's Solution

Introduction to Nonlinear Systems Control

Covers the analysis and control of nonlinear systems, including methods like phase plan and passivity.

Physical Meaning of Terms in Acoustic Waves

Explores the physical interpretation of terms in acoustic wave equations and the balance between wave steepening and linear dispersion.

Advanced Numerical Analysis: Space Discretization

Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.

Scalar Linear Higher Order ODEs

Covers scalar linear higher order ODEs, focusing on properties of solutions and the superposition principle.

Linear Algebra in 3D: Images and Kernels

Explores linear applications in 3D, emphasizing images, kernels, and solution uniqueness in systems.

Applications of Laplace Transform: State Space Modeling

Explores the application of Laplace transform in state space modeling of linear systems and the control of dynamic systems.

Plasma Instabilities: Microinstabilities in Magnetized Plasmas

Explores microinstabilities in magnetized plasmas, emphasizing drift waves and resonant wave-particle interactions.

Vectorization in Python: Efficient Computation with Numpy

Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.

Circle Criterion: Stability and Nonlinearity

Covers the concept of passivity in linear systems and the circle criterion for absolute stability.

Shells III: Nonlinear Theory and Zoelly's Solution Log in to Mediaspace to watch this video

Explores the nonlinear theory of spherical shells and Zoelly's solution for pressure buckling.

Shells III: Nonlinear Theory and Pressure Buckling Log in to Mediaspace to watch this video

Explores the nonlinear theory of spherical shells and Zoelly's solution for pressure buckling, covering topics like strain measures and critical buckling pressure.

Stability of ODE Log in to Mediaspace to watch this video

Explores the stability of Ordinary Differential Equations, focusing on solution dependence, critical data, linearization, and control of nonlinear systems.

Linear Applications: Matrices and Transformations Log in to Mediaspace to watch this video

Covers linear applications, matrices, transformations, and the principle of superposition.

Linear Systems: Direct Methods Log in to Mediaspace to watch this video

Covers the formulation of linear systems, direct and iterative methods for solving them, and the cost of LU factorization.

Dynamical Systems for Engineers Log in to Mediaspace to watch this video

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Continuous-Time Stochastic Processes: Linear System Log in to Mediaspace to watch this video

Covers the analysis of continuous-time stochastic processes in the context of linear systems.

Linear Algebra: Systems and Subspaces Log in to Mediaspace to watch this video

Covers linear systems, vector subspaces, and the kernel and image of linear applications.

Singular Value Decomposition: Applications and Interpretation Log in to Mediaspace to watch this video

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Vector Spaces and Linear Applications Log in to Mediaspace to watch this video

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

Matrix Operations: Linear Systems and Solutions Log in to Mediaspace to watch this video

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.