Latest blogs

Stability Analysis
Stability Analysis
July 17, 2021
There are two dynamical properties of a mass (point particle) in which physicists take interest, position and velocity. Phase space is an abstract space where the position of particle acts ...
QR Method
QR Method
July 4, 2021
The QR method is the most-used algorithm to compute all the eigenvalues of a matrix (fulfilling some conditions) due to its robustness. The masterminds behind this algorithm are John G. F. ...
Exploring Phase Transition in 1D Ising Model
Exploring Phase Transition in 1D Ising Model
July 2, 2021
We have already simulated 1d Ising model for two cases 1.Absence of External Field and 2. Presence of External Field using Metropolis algorithm and measured some everage...
The Rubber Band
The Rubber Band
February 16, 2021
We are well familiar with the fact that when we heat metallic bodies they expand. However, elastic substance like rubber band contracts.If a mass is suspended from the rubber band, heating ...
Laplace Equation and Random Walk
Laplace Equation and Random Walk
January 9, 2021
In this notebook we will try to solve the equation ∇2u=0∇2u=0 by using Monte-Carlo methods where del^2(u) is subjected to a specific boundary conditions. As we know from the properties of t...
RK 2 Algorithm and Satellite’s Orbit
RK 2 Algorithm and Satellite’s Orbit
December 1, 2020
Let me remind you first- what our goal should be when looking for a numerical solution of a particular first-order ODE. One, of course, given an Initial Value Problem(IVP) you must be able ...
Power Iteration Method
Power Iteration Method
October 4, 2020
Matrices show up in many places surprisingly. A course in linear algebra and Wachowskis covers this well enough. Due to their simple iterative steps, while manipulating matrices to employ t...
Euler’s Method and  Drag Force
Euler’s Method and Drag Force
October 1, 2020
For most first-order differential equations, it is simply not possible to find analytic solutions, since they will not fall into the few classes for which solution techniques are available ...
Leap Frog Method
Leap Frog Method
September 13, 2020
Leap-Frog algorithm(my personal favourite), which is a modified version of the Verlet algorithm. The Verlet algorithm uses the positions and accelerations at the time tt and the p...

Featured Topics

Monte Carlo
Ordinary Differential Equation
Partial Differential Equation
Quantum Mechanics
Statistical Mechanics
Waves and Oscillation
Exploring Phase Transition in 1D Ising Model
The Rubber Band
Laplace Equation and Random Walk
RK 2 Algorithm and Satellite’s Orbit
Euler’s Method and Drag Force
Leap Frog Method
Lennard Jones Potential : Speed Distribution
Metropolis Algorithm
1D ISING MODEL : Interacting Spins in The Absence of External Field
1D Ising Model : Interacting Spins in The Presence of External Field
Verlet Algorithm
Ordinary Differential Equations and Nondimensionalization
Lennard Jones Potential
Maxwell Speed Distributions
Time Reversal Symmetry in The System of Billiard Balls
Event Based Algorithm: System of Billiard Balls
Lissajous Figures
Damped Harmonic Oscillator
Coupled Spring Mass System
Simple Harmonic Motion
Time Period of Simple Pendulum
Monte Carlo : Integrations
Calculating π using Monte Carlo
Lorenz System : The Butterfly Effect
Laplace Equation
Heat Equation
Classical Wave Equation
Time Evolution in Harmonic Oscillator
Time Dependent Schrödinger Equation
Schrödinger’s Equation for Harmonic Oscillator
The Double Square Well Potential
TIME INDEPENDENT SCHRÖDINGER EQUATION