Numerical Analysis Courses and Certifications

Computational Physics: Scientific Programming with Python

1122 ratings at Udemy

From numerical methods to exciting applications: Differential equations, eigenvalue problems, Monte Carlo methods & more

• Udemy
• 20 hours 56 minutes
• Self-Paced
• Paid Course

L&T EduTech

Load Flow Analysis

13 ratings at Coursera

Model power system networks with bus admittance and impedance matrices, then solve load flow using Gauss-Seidel, Newton-Raphson, Fast Decoupled and DC methods with ETAP demonstrations.

• Coursera
• 3 weeks, 3 hours a week
• Self-Paced
• Paid Course

Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler

Learn to analyze differential equations with Fourier series, Laplace transforms, phase planes, and MATLAB’s ODE suite, including ODE45 and stiff solvers.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler

An in-depth video series linking differential-equation theory with MATLAB’s ODE suite, from phase-plane analysis and Laplace methods to numerical solvers.

• MIT OpenCourseWare
• Self-Paced
• Free Online Course

NPTEL;  IIT Kharagpur

Computational Fluid Dynamics

This course provides an introduction to Computational Fluid Dynamics (CFD) with an emphasis on the fundamental principles that govern the implementation of CFD in practical applications.

• YouTube
• 1 day 18 hours
• Self-Paced
• Free Video

3Blue1Brown

Newton's Method Produces This Fractal, Why Don't We Teach It in Calculus Classes?

See how Newton’s method for finding polynomial roots creates infinitely intricate fractals, revealing chaotic boundary behavior with applications in computer graphics.

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

Ordinary Differential Equations

3 ratings

This tutorial contains excerpts from Elizabeth Bradley's Nonlinear Dynamics course.

• Complexity Explorer
• 1 hour
• Self-Paced
• Free Certificate

NPTEL;  IIT Madras

Computational Fluid Dynamics

4 ratings

Introduces numerical methods for solving fluid-flow equations, from discretization and stability analysis to turbulence modeling and unstructured-grid finite-volume methods.

• YouTube
• 1 day 18 hours
• Self-Paced
• Free Video

An Introduction to Computational Fluid Dynamics

206 ratings at Udemy

Derive the Navier-Stokes equations from first principles, discretize them with schemes like MacCormack's, and write Python solvers for lid-driven cavities, shock tubes and shock-vortex interactions.

• Udemy
• 12 hours 2 minutes
• Self-Paced
• Paid Course

Modelling with Differential Equations

How do populations grow? How do viruses spread? What is the trajectory of a glider? Introduce yourself to the modelling cycle which includes: analyzing a problem, formulating it as a mathematical mode

• edX
• 6 weeks, 4-5 hours a week
• Self-Paced
• Free Online Course (Audit)

A-level Mathematics for Year 13 - Course 1: Functions, Sequences and Series, and Numerical Methods

28 ratings at edX

Develop your thinking skills, fluency and confidence to aim for an A* in A-level maths and prepare for undergraduate STEM degrees.

• edX
• 7 weeks, 2-4 hours a week
• Self-Paced
• Free Online Course (Audit)

Applied Macroeconomics

This program introduces core models and concepts in macroeconomics, focusing on how economies react to shocks like policy or technological changes. Students will learn about economic fluctuations, suc

• Federica
• Self-Paced
• Free Online Course

The path to innovation in Aviation: experimental and numerical methods

The MOOC will be focused on providing to the target audience (PhDs and PostDocs) the necessary knowledge that are required to tackle problems that are of interest for aviation and innovative air servi

• Federica
• Self-Paced
• Free Online Course

Hack In The Box Security Conference

An Analysis of Computer Numerical Control Machines in Industry 4.0

Examines how Industry 4.0 connectivity exposes CNC controllers to attacks that can disrupt production, steal programs, or introduce defects.

• YouTube
• 47 minutes
• Self-Paced
• Conference Talk

Dot Physics

Two Methods to Find the Moment of Inertia for Thin Spherical Shells - Calculus and Numerical Analysis

Explore two distinct approaches - calculus integration and Monte Carlo simulation with Python - to calculate the moment of inertia for thin spherical shells.

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