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Related lectures (30)
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Linear Systems: Iterative Methods
Covers iterative methods for solving linear systems, including Jacobi and Gauss-Seidel methods.
Matrix Construction and Function Manipulation
Covers tips on matrix construction and function manipulation using MATLAB.
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.
Jacobi Method: Part I
Introduces the Jacobi method for solving linear systems by iteratively updating the diagonal elements of a matrix.
Solving the linear system - Nonlinearity
Explores solving linear systems and addressing nonlinearity in numerical flow simulations using multigrid and linearization methods.
Iterative Methods for Linear Equations
Explores iterative methods for linear equations, including Jacobi and Gauss-Seidel methods, convergence criteria, and the conjugate gradient method.
Jacobi Method: Convergence Conditions
Explores the Jacobi method for linear systems, emphasizing convergence conditions and matrix properties.
Newton's Method: Convergence and Applications
Covers the convergence of Newton's method and its applications in numerical analysis.
Jacobi Method: Part I
Introduces the Jacobi method for solving linear systems and determining convergence.
Linear Systems: Richardson's Method
Covers Richardson's method for solving linear equations and its applications in system solutions and error control.