Numerical Analysis Courses and Certifications

NPTEL-NOC IITM

Introduction to the Finite Element Method: 2D Basis Functions

Explore 2D basis functions in finite element method. Learn key concepts and applications for advanced numerical analysis and engineering problem-solving.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

FDTD: Materials and Boundary Conditions - Absorbing Boundary Conditions 1D

Explore absorbing boundary conditions in 1D for FDTD simulations of materials, enhancing understanding of electromagnetic wave propagation and computational techniques.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Integration Algorithms

Master integration algorithms for solving complex mathematical problems and enhancing computational skills.

• YouTube
• 15 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Introduction to Orthogonal Polynomials - Lecture 41

Explore orthogonal polynomials: definition, properties, examples, and mapping to standard intervals. Gain insights into this fundamental mathematical concept.

• YouTube
• 17 minutes
• Self-Paced
• Free Video

Dot Physics

The Eigenvalue Problem: An Example with Rigid Body Rotations and Python

Explore rigid body rotations using Python, solving the eigenvalue problem to find principal axes and animating results with Web VPython.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Dot Physics

Solving a Boundary Value Problem with the Finite Difference Method - Python

Implement finite difference method in Python to solve boundary value problems for differential equations. Learn practical numerical techniques.

• YouTube
• 22 minutes
• Self-Paced
• Free Video

Dot Physics

Modeling a Flat and Spinning Solar System Using Python

Model a flat, spinning solar system with 100 masses using Web VPython and Python code. Explore advanced simulation techniques for celestial mechanics.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Dot Physics

Ladder Physics: What Angle Does a Frictionless Ladder Leave the Wall?

Explore frictionless ladder physics, determining the angle at which it loses wall contact using Euler method and ball-spring simulations in Python.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Dot Physics

Solving the Radial Function of the Hydrogen Atom with Python and Shooting Method

Explore numerical solutions for the hydrogen atom's radial Schrödinger equation using Python and the shooting method. Gain insights into quantum mechanics and computational physics.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Dot Physics

Solving the Time-Dependent Schrödinger Equation with Finite Difference Method in Python

Explore numerical solutions to the time-dependent Schrödinger equation using Python's finite difference method for 1D quantum systems.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Dot Physics

Modeling a Wave on a String - Finite Difference in Python

Model a wave on a string using finite difference calculations and Web VPython. Learn Python coding techniques for physics simulations and data visualization.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Dot Physics

Solving Schrödinger's Equation as an Eigenvalue Problem with Numpy

Explore numerical solutions to the 1D infinite square well using Python's NumPy library and the finite difference method for Schrödinger's equation.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Dot Physics

Quantum Mechanics: Using the Shooting Method and Python to Solve the 1D Square Well

Solve the 1D infinite square well numerically using Python and the shooting method, exploring an alternative approach to quantum mechanics problem-solving.

• YouTube
• 25 minutes
• Self-Paced
• Free Video

Dot Physics

Very Simple Introduction to Numerical Calculations in Physics with Python

Learn to create numerical solutions in physics using Python, from basic coding to graphing and modifying code for practical applications.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Dot Physics

Finding the Center of Mass of a Triangle

Explore methods to determine a triangle's center of mass, including a Monte Carlo calculation using Python for added precision.

• YouTube
• 31 minutes
• Self-Paced
• Free Video