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In this video, I optimize the physics engine that powers Engine Simulator and discuss some iterative techniques for solving systems of linear equations.
Conjugate gradient method: https://en.wikipedia.org/wiki/Conjugate_gradient_method
Gauss-Seidel method: https://en.wikipedia.org/wiki/Gauss%E2%80%93Seidel_method
The paper about vectorizing the Gauss-Seidel method shown in the video: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2782869/
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https://github.com/Engine-Simulator/engine-sim-community-edition
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00:00 Master Mechanics
00:14 Squarespace [Sponsored Segment]
00:59 Engine Simulator Roadmap
02:05 Physics Engine Overview
02:55 Gauss-Seidel Method
04:16 Optimizing the Gauss-Seidel Solver
06:34 Conjugate Gradient Method
07:43 Tension/Compression Demo
10:06 Pre-emptively Addressing the Haterz
10:34 Shout-out to Patrons and Outro
#physics #simulation #gamedev
FTC Disclaimer: This video was sponsored by Squarespace.
Thanks for watching!