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Lecture
Bisection Method: Iterative Search for Zeros
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Root Finding Methods: Secant, Newton, and Fixed Point Iteration
Covers numerical methods for finding roots, including secant, Newton, and fixed point iteration techniques.
Root Finding Methods: Bisection and Secant Techniques
Covers root-finding methods, focusing on the bisection and secant techniques, their implementations, and comparisons of their convergence rates.
Bisection Method: Approximating Zeros of Functions
Covers the bisection method for approximating zeros of functions, discussing advantages, disadvantages, and an alternative approach for faster convergence.
Nonlinear Equations: Methods and Applications
Covers methods for solving nonlinear equations, including bisection and Newton-Raphson methods, with a focus on convergence and error criteria.
Numerical Methods: Iterative Techniques
Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.
Numerical Methods in Chemistry
Covers the implementation of numerical methods in MATLAB for solving chemical problems.
Numerical Methods: Bisection and Multidimensional Arrays
Discusses the bisection method for solving nonlinear equations and its implementation using Python with NumPy and Matplotlib.
Iterative Methods for Nonlinear Equations
Explores iterative methods for solving nonlinear equations, discussing convergence properties and implementation details.
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Numerical Methods: Fixed Point and Picard Method
Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.