Lectures in course PHYS-203: Computational physics I

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

Covers digital physics topics such as pair formation, report writing, and MATLAB configuration.

Introduces Latex, a document preparation system for scientific and technical fields, focusing on content over formatting.

Digital Physics I: Magnus Effect and Iterative Solutions

Explores the Magnus effect, lift force, and iterative solutions in digital physics.

Harmonic Oscillator: Numerical Stability Analysis

Explores numerical methods for the harmonic oscillator, focusing on stability and convergence in solving oscillatory systems.

Harmonic Oscillator: Numerical Stability Analysis

Explores the numerical stability of the harmonic oscillator and the importance of improving digital diagrams.

Verlet Scheme: Magnetic Fields and Speed Dependent Forces

Explores the Verlet scheme, magnetic fields, speed-dependent forces, and nonlinear physics through simulations and exercises.

Chaos and Sensitivity in Double Pendulum

Delves into chaos and sensitivity in the double pendulum system, exploring unpredictability and exponential divergence of trajectories.

Nonlinear Phenomena in Physics

Explores Poincaré sections, chaos, and strange attractors in nonlinear physics.

Stability of a Planet's Orbit

Covers the examination of the stability of a planet's orbit using Runge-Kutta numerical integration.

Digital Physics: Convergence and Error Analysis

Discusses evaluation feedback, convergence, error analysis, and adaptive time steps in physics simulations.

Celestial Mechanics: Three-Body Problem

Explores the dynamics of three-body systems in celestial mechanics, emphasizing stability, equilibrium points, and gravitational interactions.

Stability of Lagrange Points

Explores the stability of Lagrange points in celestial mechanics, focusing on equilibrium in rotating frames and the dynamics of celestial bodies.

Numerical Methods for Physics: Iterative Solutions and Mesh Convergence

Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.

Iterative Methods: Jacobi

Covers the Jacobi iterative method for solving electrostatic problems and discusses convergence and practical examples.

Numerical Methods: Weak Variational Form and Integration by Parts

Explores approximation methods and weak variational forms in numerical methods.

Finite Elements: Variational Formulation

Explains the variational form in finite elements and the use of basic functions.

Finite Differences in Advection-Diffusion

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

Advection-Diffusion Equations

Explores numerical solutions and stability analysis of advection-diffusion equations, emphasizing properties of analytical solutions and their behavior over time.

Advection-Diffusion Equations: Explicit 2-Level Scheme

Explores advection-diffusion equations and the explicit 2-level scheme, emphasizing stability in numerical simulations.