Lectures related to Numerical Analysis: Introduction to Computational Methods

Numerical Methods: Bisection and Multidimensional Arrays

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

Numerical Differentiation: Part 1

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Root Finding Methods: Secant and Newton's Methods

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

Explicit Stabilised Methods: Applications to Bayesian Inverse Problems

Explores explicit stabilised Runge-Kutta methods and their application to Bayesian inverse problems, covering optimization, sampling, and numerical experiments.

Finite Element Modeling

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Numerical Integration: Introduction

Introduces numerical integration methods and chemical reaction kinetics principles.

Isoparametric Formulation of Quad4 Element

Covers the isoparametric formulation of the Quad4 planar element and stiffness matrix calculation.