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Lecture
Iterative Methods for Linear Equations
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Linear Systems: Convergence and Methods
Explores linear systems, convergence, and solving methods with a focus on CPU time and memory requirements.
Linear Systems: Iterative Methods
Covers iterative methods for solving linear systems, including Jacobi and Gauss-Seidel methods.
Convergence of Fixed Point Methods
Explores the convergence of fixed point methods and the implications of different convergence rates.
Conjugate Gradient Method: Iterative Optimization
Covers the conjugate gradient method, stopping criteria, and convergence properties in iterative optimization.
Iterative Methods for Linear Equations
Explores iterative methods for linear equations, including Jacobi and Gauss-Seidel methods, convergence criteria, and the conjugate gradient method.
Linear Systems: Iterative Methods
Explores linear systems and iterative methods like gradient descent and conjugate gradient for efficient solutions.
Numerics: semester project
Covers the semester project on numerics, focusing on adaptive algorithms and multistep methods.
Linear Systems: Richardson's Method
Covers Richardson's method for solving linear equations and its applications in system solutions and error control.
Finite Elements Method: Error Estimation
Explores a priori error estimation in the finite elements method, covering convergence analysis, orthogonality, weak formulations, and optimal precision.
Convergence Analysis: Iterative Methods
Covers the convergence analysis of iterative methods and the conditions for convergence.