Lecture
Numerical Methods: Iterative Techniques
Related lectures (47)
Runge-Kutta Methods: Approximating Differential Equations
Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.
Numerics: semester project
Covers the semester project on numerics, focusing on adaptive algorithms and multistep methods.
Newton Method: Convergence and Quadratic Care
Covers the Newton method and its convergence properties near the optimal point.
System of ODEs: High Order ODEs
Covers high order ODEs, numerical methods, and stability criteria.
Iterative Methods: Jacobi
Covers the Jacobi iterative method for solving electrostatic problems and discusses convergence and practical examples.
Implicit or Explicit
Explores implicit and explicit methods in numerical analysis using Euler's paths.
Newton's Method: Convergence Analysis
Explores the convergence analysis of Newton's method for solving nonlinear equations, discussing linear and quadratic convergence properties.
Computation, Verification and Validation
Explains verification and validation in CFD simulations, focusing on Richardson extrapolation and accuracy checking.
Bisection Method: Iterative Search for Zeros
Covers the bisection method for finding zeros of continuous functions through iterative narrowing of intervals.
Thomas algorithm, accuracy of direct methods
Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.