Equation-Based Modeling Blog Posts
Analyze the Spread of Epidemic Diseases with Simulation
Did you know that public health officials use mathematical modeling techniques to study the flu and other infectious diseases to predict their spread and make informed decisions?
Verify Simulations with the Method of Manufactured Solutions
The Method of Manufactured Solutions involves assuming a solution, obtaining source terms, solving the problem, and comparing the results with the assumed solution. Use it to verify your models.
Implementing the Weak Form with a COMSOL App
First we implement the weak form equation and examine its matrices. Then we create a simulation app that displays all relevant matrices at once, arranged logically on one screen.
Can We Hear the Shape of a Drum?
Over half a century ago, Mark Kac gave an interesting lecture on a question that he had heard from Professor Bochner ten years earlier: “Can one hear the shape of a drum?”
Discretizing the Weak Form Equations
In another installment of our blog series on the weak form equations, get an overview of how these equations are discretized and solved numerically in the COMSOL® software.
Implementing the Weak Form in COMSOL Multiphysics
In Part 2 of our series on the weak form equations, we demonstrate how to implement and solve these equations numerically using COMSOL Multiphysics®.
A Brief Introduction to the Weak Form
Whether or not you use finite element analysis and vector calculus in your daily life, you’ll appreciate this introduction to the weak form equations.
Understanding Traffic Congestion via Equation-Based Modeling
Boring, frustrating, extremely inconvenient: We’ve all experienced a traffic jam when trying to get from Point A to Point B. Researchers used equation-based modeling to study traffic congestion.