Concept

Physical layer

Related lectures (32)

Explores strategic decisions for Smart City policy-makers, covering technological, financial, political, and social aspects.

Physical Model: Elbow of the Rhône Martigny

Focuses on the physical model of the Elbow of the Rhône in Martigny, covering river eco-morphology, construction aspects, safety measures, and modeling techniques.

Quasi-newton optimization

Covers gradient line search methods and optimization techniques with an emphasis on Wolfe conditions and positive definiteness.

Numerical methods: runge-kutta

Covers the Runge-Kutta method and its variations, discussing error minimization and stability in non-linear systems.

Optimization Methods

Covers optimization methods without constraints, including gradient and line search in the quadratic case.

Optimization Methods

Covers unconstrained and constrained optimization, optimal control, neural networks, and global optimization methods.

Optimization with Constraints

Covers the optimization with constraints and the KKT theorem.

Structural Analysis: Trusses

Covers the analysis of trusses, defining node positions, connectivity matrices, and stiffness matrices.

Finite Element Modeling: Dynamics

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.

Finite Element Modeling

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Finite Element Method

Covers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.

Optimal Control: KKT Conditions

Explores optimal control and KKT conditions for non-linear optimization with constraints.

Relative Positions in Space

Covers the precise description of the relative positioning of objects in space.

Runge Kutta Method

Covers the Runge Kutta method and its application to optimal control and neural networks.

Deep Neural Networks: Optimization and Approximation

Explores optimization and approximation in deep neural networks, including optimal control and numerical experiments.

Numerical analysis

Covers advanced numerical analysis topics including deep neural networks and optimization methods.

Linear Algebra: Compositions of Applications

Explores compositions of applications and injectivity conditions in linear algebra, including restriction of applications and combinatorial proof of injections.

Sub-Layer Stack for IoT and Advantages

Explores the advantages of a compacted OSI model for IoT communication and the techniques to ensure reliable data transmission.

Cylinder Balancing on Step

Explores the physics of a cylinder balancing on a step and a counterweight system with a rotating vertical cylinder.

Smart Urban Energy Systems: Data Layer

Explores the data layer of urban energy systems and the challenges it poses.