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Lecture
Nonlinear Problem Solving
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Related lectures (29)
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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.
Inverse Power Method: Introduction to ODEs
Explores the inverse power method for ODEs and the significance of Lipschitz continuity.
Numerical Modelling of the Atmosphere
Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.
ODEs: Introduction and Solutions
Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.
Thomas algorithm, accuracy of direct methods
Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.
Finite Elements: Elasticity and Variational Formulation
Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.
Numerical Methods: Bisection and Multidimensional Arrays
Discusses the bisection method for solving nonlinear equations and its implementation using Python with NumPy and Matplotlib.
Sensitivity of Solutions
Explores the sensitivity of solutions in numerical methods, including linear systems and matrix norms, with an example of deblurring images.
Numerical Integration: Lagrange Interpolation, Simpson Rules
Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.
Numerical Integration: Romberg Integration
Explores Romberg integration to improve numerical integration accuracy through iterative refinement of estimates.
