Discretization

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Related lectures (31)

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Numerical Methods in Physics

Covers numerical methods in physics, focusing on solving complex problems and understanding limitations.

Floating Point Numbers: Representation and Errors

Explores the representation of floating point numbers and the importance of error analysis.

Finite Element Modeling: Introduction

Introduces finite element modeling for numerical solutions to complex problems.

Generalization Error

Discusses mutual information, data processing inequality, and properties related to leakage in discrete systems.

Computational Geomechanics: Week 4

Explores boundary conditions, time variation in porous media, and storage coefficients in matrices.

Neural networks under SGD

Explores the optimization of neural networks using Stochastic Gradient Descent (SGD) and the concept of dual risk versus empirical risk.

Numerical Flow Simulation: Introduction

Covers numerical flow simulation methodology, applications, challenges, and practical exercises with software like Matlab and OpenFOAM.

Numerical Flow Simulation: Fundamentals

Covers the fundamentals of numerical flow simulation, emphasizing the importance of understanding the methodology and practicing simulation techniques to run full simulations autonomously.

Exact and Approximate Sampling in Multivariable Control

Explores exact and approximate sampling in multivariable control systems, discussing stability, eigenvalues, and system properties.

Vibrating String: Mathematical Analysis

Covers the study of a vibrating string, wave equations, sinusoidal waves, and eigenvalue problems.