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Lecture
Iterative Methods for Linear Equations
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Finite Element Method: Quadratic Elements
Explores the precision of finite element models and higher order asymptotic estimates.
Finite Element Method: Higher Order Models
Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.
Hermitian Spaces: Theory and Applications
Explores the theory of Hermitian spaces and their applications in quadratic forms and codimension 1 spaces.
Optimal Control: KKT Conditions
Explores optimal control and KKT conditions for non-linear optimization with constraints.
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Direct and Iterative Methods for Linear Equations
Explores direct and iterative methods for solving linear equations, emphasizing symmetric matrices and computational cost.
Newton's Method: Convergence and Criteria
Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.