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Lecture
Fixed Point Methods: Non-linear Equations
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Fixed Point Methods
Explores fixed point methods for function solutions and non-linear systems.
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Explores high-order fixed-point methods and Newton-Raphson method for solving nonlinear equations.
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Explores the bisection method for solving non-linear equations with a focus on error control and MATLAB implementation.
Nonlinear Equations: Bisection and Fixed-Point Methods
Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.
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Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.
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Covers the bisection method for finding zeros of continuous functions through iterative narrowing of intervals.
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Explores the fixed point method for global convergence in solving nonlinear equations.
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Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.
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Covers the fixed point method for solving nonlinear equations and discusses convergence properties.
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Explores the global convergence of the fixed point method for nonlinear equations.