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Lecture
Bisection Method: Example
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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.
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.
Root Finding Methods: Secant and Newton's Methods
Covers numerical methods for root finding, focusing on the secant and Newton's methods.
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Bisection Method: Solving Non-linear Equations
Explores the bisection method for solving non-linear equations with a focus on error control and MATLAB implementation.
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.
Taylor Series and Secant Method: Numerical Analysis Techniques
Discusses the Taylor series and secant method, focusing on their applications in numerical analysis and root-finding techniques.
Fixed Point Theorem: Convergence of Newton's Method
Covers the fixed point theorem and the convergence of Newton's method, emphasizing the importance of function choice and derivative behavior for successful iteration.
Bisection Method, Newton Method
Covers the Bisection Method and Newton Method for solving nonlinear equations using interval splitting and tangent lines.
Numerical Methods: Bisection and Multidimensional Arrays
Discusses the bisection method for solving nonlinear equations and its implementation using Python with NumPy and Matplotlib.