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Drive-By Differential Geometry
Numerical Manifold Madness
Scot Free Kennedy
Drive-By Differential Geometry
Manifolds
Tangent Spaces
Vector Fields and Flows
Numerical Simulation of Manifold Flows
Basic Ideas
Nontrivial Vector Field Evaluation and Approximation
Portrait of the Chartist as a Young Man
Issues
It's
nice
to work in charts
Interplay of Math with Machine
Specifics
Code Snippets
Notes on the Code
Implementation
Error and Accuracy
Resources
Examples
Naivete Foresworn
Longitudinal (or Latitude or some such...)
Euler Step
4th order Runge-Kutta
Latitudinal (the other one)
Mystery Flow
About this document ...
Scot Free Kennedy
1998-07-07
