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#numerical methods

Every note tagged #numerical methods, newest first — or browse the full archive.

July 17, 2026 Engineering

How slowly must you pump an anomalous soliton?

A new anomalous soliton pump is quantized only in the adiabatic limit, and the paper says only that its parameter must be varied "sufficiently slowly". Measured, the anomalous pump needs a 4.3x slower ramp than the normal one — and above that threshold it still misses the quantized value at 9 of 18 periods, once by more than a full unit cell.

#topological pumping#solitons#nonlinear dynamics#adiabaticity#cold atoms#numerical methods
July 16, 2026 Engineering

The missing speedup ledger in h/p-adaptive SPH

Joining two accuracy statements to the paper's timing table puts a number on the benefit of h/p-adaptive SPH: 3.90x and 6.16x speedups for its two explicit equal-accuracy vortex-ring comparisons.

#fluid dynamics#numerical methods#SPH#performance#reproducibility
pj Peter V. Johnston

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