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

Home

Lecture

Numerical Analysis: Solving Linear Systems in Higher Dimensions

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (47)

Linear Statics of Deformable Solids Log in to Mediaspace to watch this video

Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.

Nonlinearity: Methods and Examples Log in to Mediaspace to watch this video

Explores nonlinearity in numerical flow simulation, covering linearization methods and practical examples.

Finite Differences in Advection-Diffusion Log in to Mediaspace to watch this video

Explores the explicit 2-level scheme for advection-diffusion and the convergence of digital solutions.

Waves in Inhomogeneous Medium Log in to Mediaspace to watch this video

Explores waves in inhomogeneous media, covering initial and boundary conditions, numerical stability, eigen modes, and propagation principles.

Internal Heat Transfer Effects Log in to Mediaspace to watch this video

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

Modeling Water Transfers with Richards Equation Log in to Mediaspace to watch this video

Discusses modeling water transfers with the Richards equation, including soil hydraulic functions, numerical methods, boundary conditions, and irrigation impact.

Compatibility of Stress and Strain: Form Expressions Log in to Mediaspace to watch this video

Explores stress and strain compatibility, closed-form expressions, and constant strain components.

Uniqueness of Electromagnetic Field Log in to Mediaspace to watch this video

Delves into the conditions for the uniqueness of solutions to Maxwell's equations in different media and sources, emphasizing the role of boundary conditions and material losses.

Rectangular waveguides: TM Modes Log in to Mediaspace to watch this video

Covers the propagation modes in rectangular waveguides, focusing on TM modes and discussing basic equations and solutions.

Beam Bending and Buckling Problems Log in to Mediaspace to watch this video

Explores beam bending and buckling problems in structural mechanics, addressing written corrections and exam questions.

Navier-Stokes Equations: Incompressible Flow Log in to Mediaspace to watch this video

Explores the solution of the Graetz problem and Navier-Stokes equations for incompressible flow.

Equidistribution of CM Points Log in to Mediaspace to watch this video

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Involutes and Bezier Curves Log in to Mediaspace to watch this video

Explores involutes and Bezier curves, essential in computer-aided design.

Linear Regression: Least Squares Method Log in to Mediaspace to watch this video

Explains the method of least squares in linear regression to find the best-fitting line to a set of data points.

Introduction to Information, Computation, and Communication Log in to Mediaspace to watch this video

Introduces the fundamental principles of Information, Computation, and Communication theory, covering genomics, medical imaging, and assistive technology.

Convex Optimization: Linear Algebra Review Log in to Mediaspace to watch this video

Provides a review of linear algebra concepts crucial for convex optimization, covering topics such as vector norms, eigenvalues, and positive semidefinite matrices.

Support Vector Regression: Kernel Tricks Log in to Mediaspace to watch this video

Explores Ridge and SVR regression, emphasizing kernel tricks for non-linear regression.

Finite Differences: Definition and Proof Log in to Mediaspace to watch this video

Covers the definition of the center of a function using finite differences and provides step-by-step proofs.

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.

Calculus of Variations: Introduction Log in to Mediaspace to watch this video

Introduces calculus of variations with examples like the Brachistochrone problem in an applied context.

Page 2 of 3