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Spectral Methods
Lecture
General remarks
Introduction
Transport theory
Fluid mechanics
Numerical solution
Function spaces
Approximation and interpolation
Fourier spectral methods
Discrete convolutions
Differential equations
Project
General remarks
Your final report
Tutorial 1
Tutorial 2
Tutorial 3
Tutorial 4
Milestone 1
Milestone 2
Milestone 3
Milestone 4
Milestone 5
Python
Unix shell
Introduction to Python
Flow control and functions
numpy
scipy
matplotlib
Notes
Parallel Scaling
Running MPI programs
bwUniCluster
Figures
About
The lecture is structured into written material and an in-person class.
Table of contents
General remarks
Introduction
Transport theory
Fluid mechanics
Numerical solution
Function spaces
Approximation and interpolation
Fourier spectral methods
Discrete convolutions
Differential equations