Fixed-Point Methods and Newton-Raphson

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Higher Order Methods: Iterative Techniques

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

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Covers numerical methods for root finding, focusing on the secant and Newton's methods.

Newton's Method: Convergence Analysis

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

Root Finding Methods: Secant, Newton, and Fixed Point Iteration

Covers numerical methods for finding roots, including secant, Newton, and fixed point iteration techniques.

Numerical Analysis: Newton's Method

Explores Newton's method for finding roots of nonlinear equations and its interpretation as a second-order method.

Nonlinear Equations: Fixed Point Method

Covers the topic of nonlinear equations and the fixed point method.

Non-linear Equations and Systems

Addresses solving non-linear equations and systems numerically using fixed point and Newton's methods.

Computational Geomechanics: Unconfined Flow

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Numerics: semester project

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Vectorization in Python: Efficient Computation with Numpy

Covers vectorization in Python using Numpy for efficient scientific computing, emphasizing the benefits of avoiding for loops and demonstrating practical applications.