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Lecture
Iterative Methods: Error Control and Linear Systems Resolution
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Iterative Methods: Linear Systems
Covers iterative methods for solving linear systems and discusses convergence criteria and spectral radius.
Numerical Analysis: Linear Systems
Covers the analysis of linear systems, focusing on methods such as Jacobi and Richardson for solving linear equations.
Numerical Methods: Iterative Techniques
Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.
Computational Geomechanics: Unconfined Flow Analysis
Explores unconfined flow analysis in geomechanics, emphasizing iterative solution methods and boundary condition considerations.
Newton's Method: Convergence
Explores the convergence of Newton's method for solving nonlinear equations and the importance of selecting appropriate initial guesses.
Root Finding Methods: Secant, Newton, and Fixed Point Iteration
Covers numerical methods for finding roots, including secant, Newton, and fixed point iteration techniques.
Construction of an Iterative Method
Covers the construction of an iterative method for linear systems, emphasizing matrix decomposition and convexity.
Linear Systems: Iterative Methods
Covers iterative methods for solving linear systems, including Jacobi and Gauss-Seidel methods.
Picard Method: Fixed Point Iterative Technique
Covers the Picard method for solving nonlinear equations using fixed point iteration.