Fixed Point Methods: Non-linear Equations

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Related lectures (43)

Nonlinear Equations: Methods and Convergence Log in to Mediaspace to watch this video

Explores high-order fixed-point methods and Newton-Raphson method for solving nonlinear equations.

Bisection Method: Solving Non-linear Equations Log in to Mediaspace to watch this video

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 Log in to Mediaspace to watch this video

Explores nonlinear equations, bisection, fixed-point methods, error control, and graphical interpretations of fixed points.

Physics Mini-Test: Trajectory Analysis Log in to Mediaspace to watch this video

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Bisection Method: Iterative Search for Zeros Log in to Mediaspace to watch this video

Covers the bisection method for finding zeros of continuous functions through iterative narrowing of intervals.

Picard Method: Fixed Point Iterative Technique Log in to Mediaspace to watch this video

Covers the Picard method for solving nonlinear equations using fixed point iteration.

Newton's Method: Convergence Analysis Log in to Mediaspace to watch this video

Explores the convergence analysis of Newton's method for solving nonlinear equations, discussing linear and quadratic convergence properties.

Local Inverse Theorems Log in to Mediaspace to watch this video

Covers the local inverse theorem, diffeomorphisms, contraction mappings, and the Jacobian determinant.

Bisection Method: Zero Finding Log in to Mediaspace to watch this video

Covers the bisection method for finding zeros of continuous functions.

Non-linear Equations: Dichotomy Method Log in to Mediaspace to watch this video

Explores non-linear equations using the dichotomy method for finding zeros with tolerance.

Newton's Method: Fixed Point Iterative Approach Log in to Mediaspace to watch this video

Covers Newton's method for finding zeros of functions through fixed point iteration and discusses convergence properties.

Discrete Time Solution: Stability Properties and Fixed Points Log in to Mediaspace to watch this video

Explores stability properties and fixed points in discrete time solutions.

Numerical Analysis: Nonlinear Equations Log in to Mediaspace to watch this video

Covers algorithms for solving mathematical problems approximately using a computer, including nonlinear equations and numerical approximation methods.

Vertical Metronome: Equilibrium and Stability Log in to Mediaspace to watch this video

Explores equilibrium and stability of a vertical metronome system with springs.

Solid Identification: Coordinates and Orientation Log in to Mediaspace to watch this video

Covers the identification of a solid in space using 6 coordinates and the concept of undeformable solid bodies.

Differential Equations: Modeling Physical and Biological Phenomena Log in to Mediaspace to watch this video

Covers differential equations and their applications in modeling various phenomena.

Dependence of Lipschitz by Support Log in to Mediaspace to watch this video

Explores Lipschitz dependence supported by examples and theoretical hypotheses, emphasizing global unique solutions.

Numerical Methods: Bisection and Multidimensional Arrays Log in to Mediaspace to watch this video

Discusses the bisection method for solving nonlinear equations and its implementation using Python with NumPy and Matplotlib.

Systems and Linear Equations: Introduction Log in to Mediaspace to watch this video

Introduces systems and linear equations, defining lines and planes in 2D and 3D spaces.

Homogeneous Equations: Advanced Analysis II Log in to Mediaspace to watch this video

Explores second-order linear scalar homogeneous equations in advanced analysis II.

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