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Related lectures (30)
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Matrix Construction and Function Manipulation
Covers tips on matrix construction and function manipulation using MATLAB.
Iterative Methods for Linear Equations
Explores iterative methods for linear equations, including Jacobi and Gauss-Seidel methods, convergence criteria, and the conjugate gradient method.
Solving the linear system - Nonlinearity
Explores solving linear systems and addressing nonlinearity in numerical flow simulations using multigrid and linearization methods.
Direct and Iterative Methods for Linear Equations
Explores direct and iterative methods for solving linear equations, emphasizing symmetric matrices and computational cost.
Linear Systems: Direct and Iterative Methods
Explores linear systems, covering direct and iterative methods for solving them with a focus on round-off errors and Richardson's algorithm.
Value Iteration Acceleration: PID and Operator Splitting
Explores accelerating the Value Iteration algorithm using control theory and matrix splitting techniques to achieve faster convergence.
Iterative Methods: Jacobi
Covers the Jacobi iterative method for solving electrostatic problems and discusses convergence and practical examples.
Newton's Method: Convergence and Criteria
Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Newton-Krylov-hookstep Methods
Covers Newton-Krylov-hookstep methods for finding roots of high-dimensional systems.