Essential Numerical Methods

Three-dimensional plot with a single substantial maximum rising above a planar surface.

Two-dimensional Maxwellian distribution-function, typical of gas molecules or plasma particles in solutions of the Boltzmann equation and atomistic simulations. (Image by Ian Hutchinson.)

Instructor(s)

MIT Course Number

22.15

As Taught In

Fall 2014

Level

Graduate

Cite This Course

Course Features

Course Description

This half-semester course introduces computational methods for solving physical problems, especially in nuclear applications. The course covers ordinary and partial differential equations for particle orbit, and fluid, field, and particle conservation problems; their representation and solution by finite difference numerical approximations; iterative matrix inversion methods; stability, convergence, accuracy and statistics; and particle representations of Boltzmann's equation and methods of solution such as Monte-Carlo and particle-in-cell techniques.

Ian Hutchinson. 22.15 Essential Numerical Methods, Fall 2014. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed). License: Creative Commons BY-NC-SA


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