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Lecture
Newton Method: Nonlinear Equations
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Numerical Analysis: Newton's Method
Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.
Jacobi and Gauss-Seidel methods
Explains the Jacobi and Gauss-Seidel methods for solving linear systems iteratively.
Numerical Methods: Fixed Point and Picard Method
Covers fixed point methods and the Picard method for solving nonlinear equations iteratively.
Nonlinear Equations: Fixed Point Method
Covers the topic of nonlinear equations and the fixed point method.
Numerical Analysis: Nonlinear Equations
Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.
Crank-Nicolson and Heun's Methods
Covers the Crank-Nicolson and Heun's methods, discussing uniqueness of solutions and truncation errors in numerical methods.
Numerical Methods: Iterative Techniques
Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.
Newton's Method: Convergence and Applications
Covers the convergence of Newton's method and its applications in numerical analysis.
Convergence Analysis: Iterative Methods
Covers the convergence analysis of iterative methods and the conditions for convergence.
Stopping Criteria for Nonlinear Equations
Discusses stopping criteria for fixed point iteration and Newton's method in nonlinear equations.