#numerical — Public Fediverse posts

RE: https://mast.hpc.social/@msleigh/116562490685026434

Are you dealing with large #legacy code bases, #numerical models with strict validation requirements, or operational #workflows? Are you maintaining #Fortran code?

Please consider submitting an abstract, we are genuinely interested in how you're approaching #software #sustainability and evolution! Especially if you come from outside the #weather and #climate domain!

Transport and settling of suspended particles in a simulated estuary: particle-laden freshwater enters a basin filled with seawater. The white iso-surface indicates 50% of the original particle density. Kelvin-Helmholtz instabilities evolve in the shear flow and drive the turbulent mixing. Rayleigh–Taylor instabilities can be observed in the initial settling phase. Based on Direct #Numerical #Simulation.

#sedimentation #estuary #fluiddynamics #turbulence #CFD #computationalfluiddynamics

Another one from the archive: turbulent mixing of sediment-laden freshwater and seawater (black). The white iso-surface indicates a 50/50 mix. The freshwater enters the basin at the bottom left. Direct #Numerical #Simulation.

#sedimentation #estuary #fluiddynamics #turbulence #CFD #computationalfluiddynamics

Snapshot of the turbulent mixing of sediment-laden freshwater (black) and seawater (white / grey) in a modelled estuary. The scene is seen from the top. The freshwater enters from the bottom of the picture.

The results were obtained from a Direct #Numerical #Simulation. Only half of the domain is simulated (the other half is mirrored). Only the interesting part is shown (the simulated domain is actually a lot bigger).

#sedimentation #estuary #fluiddynamics #CFD #computationalfluiddynamics

After quite some weeks of work I have quantified the #numerical error of several #FFT implementations compared to my own.

This was done by implementing an arbitrary precision FFT to compute the true value.

For each implementation we compare the L1, L2 and Linfinity norms as well as #rms

The theoretical l2 bound is derived by Nicholas J.Higham in his famous book 'accuracy and stability of numerical algorithms'

The Linf bound from P. Henrici 'Applied and Computational Complex Analysis'

rant: i know there are a lot of alternative (typically anti-) definitions of "AI" flying around, but i just thought of another one: Actual Insanity! anyone who has done serious work with finite precision #arithmetic, #linear #algebra, #statistics, #computational #modeling, or #numerical analysis, knows that minimizing the number of parameters is essential for building truly explanatory models. but establishment scientists have collectively signed onto the idea that large models are intelligent

Escalation Of Caldera Unrest Indicated By Increasing Emission Of Isotopically Light Sulfur
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https://doi.org/10.1038/s41561-024-01632-w <-- shared paper
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#GIS #spatial #mapping #geology #structuralgeology #volcano #vulcanism #caldera #numerical #model #modeling #eruption #risk #hazard #seismicity #deformation #gases #engineeringgeology #physicochemical #monitoring #CampiFlegrei #Italy #sulfur #fumaroles #hydrothermal #magma #dataanalysis #global

Deep Learning with Jax
https://www.manning.com/books/deep-learning-with-jax
#ycombinator #neural_networks #Python #Google #Flax #Haiku #gradient_processing #optimization #numerical #computations #federated_learning #parallelized #distributed #primitives #differentiable

Deep Learning with Jax
https://www.manning.com/books/deep-learning-with-jax
#ycombinator #neural_networks #Python #Google #Flax #Haiku #gradient_processing #optimization #numerical #computations #federated_learning #parallelized #distributed #primitives #differentiable

Deep Learning with Jax
https://www.manning.com/books/deep-learning-with-jax
#ycombinator #neural_networks #Python #Google #Flax #Haiku #gradient_processing #optimization #numerical #computations #federated_learning #parallelized #distributed #primitives #differentiable

Deep Learning with Jax
https://www.manning.com/books/deep-learning-with-jax
#ycombinator #neural_networks #Python #Google #Flax #Haiku #gradient_processing #optimization #numerical #computations #federated_learning #parallelized #distributed #primitives #differentiable

Watershed Delineation On A Hexagonal Mesh Grid
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https://doi.org/10.1016/j.envsoft.2020.104702 <-- shared paper
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#GIS #spatial #mapping #model #modeling #Hydrology #Hexagon #WatershedDelineation #DigitalGlobalGridSystem #DGS #watershed #water #delineation #scaling #discretization #discretisation #simulations #numerical #adjacency #d8 #HexWatershed #watersheds #catchments #drainageareas

'Stable Implementation of Probabilistic ODE Solvers', by Nicholas Krämer, Philipp Hennig.

http://jmlr.org/papers/v25/20-1423.html

#numerical #solvers #odes