Lecture

Picard Method: Fixed Point Iterative Technique

Description

This lecture introduces the Picard method, a fixed point iterative technique used to solve nonlinear equations. The method involves finding a continuous function's fixed point by iterating an auxiliary function. The lecture covers the conditions for convergence, Lipschitzian functions, and the Banach fixed point theorem.

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https://mediaspace.epfl.ch/media/0_4849za02

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Ontological neighbourhood

Mathematics

Analysis: Differential anaysis, Numerical analysis, Calculus

Topology: General topology

Mathematical logic: Set theory

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