Collaborators are welcome, mail: [email protected]. This repository contains the following.

• Initial and Boundary value problems (ODE solvers): Euler, Runge Kutta, Shooting methods. Numerical Integration: Trapezoidal, Quadrature, Newton-Cotes, Gaussian Quadrature.

• Pendulum
• Simulating Magnus effect for boundary value problem.

• 1D Time independent Schrodinger equation solution: Numerov-Cooley algorithm, The Matching Point method, Finite difference method (exact diagonalisation), finite Basis method.
• Computation of first N Eigenstates
• Variational Method: Ground state for non-overlapping and Overlapping basis.
• Time dependent Schrodinger equation: Unitary Propagation Operator- Euler, Crank-Nicholson approximation, Direct Time Discretisation.

• Simulating Random walk for absorbing and reflecting boundary conditions.
• Monte-Carlo methods: MC integration, Importance sampling , Metropolis Monte-Carlo algorithm.
• 2D Ising Model simulation using Metropolis Monte-Carlo method: Calculating average magnetization, Magnetic susceptibility, Specific heat, Critical Point.

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5. Frenkel, D., & Smit, B. (2023). Understanding molecular simulation: from algorithms to applications. Elsevier.
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