Its been a long time since I’ve read a novel and I feel that “All the light we cannot see” by Anthony Doerrr is a perfect book to get back through. Its the story of two souls - Marie Laure, an young girl from paris and Werner, a boy born in the german mines.
Gauss Elimination is a well known method for solving system of linear equations. It has time complexity of order $O(n^3)$ and hence, it fares better than cramer’s rule or Gauss-Jordan method.
The following is my implementation of Gauss elimination method in fortran. I’ve made use of scaled pivoting in order to reduce round-off errors.
Albert Einstein is the scientific genius that the world worships whether they understand his works or not. The change in perspective he brought is so mind boggling that it’s difficult to believe that he is actually a human. But, he is truly a human and the book The World as I see it is a proof of that.
I had been following the MOOC “Scientific Computing with Fortran” for a week and currently doing the exercises. This is one of the assignments which has piqued my interests - Logistic map. Here’s a neat animation from Wikimedia for the same.
As Wikipedia states it, “The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations”.
In this post, we will look at a way of approximating deflection function of beams using Rayleigh Ritz method. I had been recently watching this (click here for youtube link) lecture series by Clayton Pettit which had been a very useful introduction to finite element methods.