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Category Archives: Research Literature
Folding and Difference
Continuing with the Fluids and Clusters idea, I’ve extended the simulation to include some more concepts from Topobiology. I was particularly struck by the description of cortical tractor model of neural tube formation. In essence, the model describes a process … Continue reading
Fast Multipole Method
To get a better intuition for how the Fast Multipole Method (FMM) approximates n-body interactions, I implemented the equations in Mathematica along with the exact solution. Below are some plots for different situations. The thing to keep in mind is … Continue reading
Posted in Computational Technique, Research Literature
Tagged fast multipole method, FMM, nbody, spatial hierarchy
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N-Body Problems
N-Body problems inevitably come up when doing any most any kind of physical simulation work, particularly when particles are involved. N-Body problems appear whenever the particles in a system construct a field that in turn determines their dynamics. The classic … Continue reading
Posted in Computational Technique, Research Literature
Tagged complex number, electrostatics, fast multipole method, field, FMM, harmonics, n-body
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Chemical Automata
I first came across Chemoton (Chemical Automaton) Theory a few months ago when reading a paper entitled Software Replica of Minimal Living Processes, and ever since it has been an inspiration. At the time, I was trying to figure out … Continue reading