#numerical — Public Fediverse posts

JNum: A Pure Java Numerical Library

#analysis #java #numerical

https://github.com/CH-Abhinav/JNum

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!

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!

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!

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!

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

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

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

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

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

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

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

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

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

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

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

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

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

From the archive: beautiful visualization of the boundary layer flow at the leading edge of a swept wing. Small disturbances introduced at the left transition to turbulence at the right.
The configuration is idealized for academic research (swept Hiemenz flow).
The results were obtained from a Direct #Numerical #CFD #simulation.
https://ethz.ch/content/dam/ethz/special-interest/mavt/fluid-dynamics/ifd-dam/research/documents/posters/transition-and-turbulent-flows/michael_john_swept_hiemenz_flow.pdf

🔄 Power transforms help reshape data toward a Gaussian distribution
💥 Overflow errors are common when implemented naively
🛠️ This post dives into the cause and shows practical solutions

https://xuefeng-xu.github.io/blog/power-transform.html

#Numerical #Statistics #Python

🔄 Power transforms help reshape data toward a Gaussian distribution
💥 Overflow errors are common when implemented naively
🛠️ This post dives into the cause and shows practical solutions

https://xuefeng-xu.github.io/blog/power-transform.html

#Numerical #Statistics #Python

🔄 Power transforms help reshape data toward a Gaussian distribution
💥 Overflow errors are common when implemented naively
🛠️ This post dives into the cause and shows practical solutions

https://xuefeng-xu.github.io/blog/power-transform.html

#Numerical #Statistics #Python

🔄 Power transforms help reshape data toward a Gaussian distribution
💥 Overflow errors are common when implemented naively
🛠️ This post dives into the cause and shows practical solutions

https://xuefeng-xu.github.io/blog/power-transform.html

#Numerical #Statistics #Python

🔄 Power transforms help reshape data toward a Gaussian distribution
💥 Overflow errors are common when implemented naively
🛠️ This post dives into the cause and shows practical solutions

https://xuefeng-xu.github.io/blog/power-transform.html

#Numerical #Statistics #Python

Many animal species, including primates, birds, and fish, exhibit a sense of number known as #Numerical #Competence, allowing them to discriminate and compare quantities of objects.

This foundational ability is thought to be an ancient cognitive trait, suggesting that the basic mechanics for perceiving quantity are shared by humans and other animals.

https://knowledgezone.co.in/posts/Animals-that-could-do-Math-6762bb557b620f019ff7fbb3

Many animal species, including primates, birds, and fish, exhibit a sense of number known as #Numerical #Competence, allowing them to discriminate and compare quantities of objects.

This foundational ability is thought to be an ancient cognitive trait, suggesting that the basic mechanics for perceiving quantity are shared by humans and other animals.

https://knowledgezone.co.in/posts/Animals-that-could-do-Math-6762bb557b620f019ff7fbb3

Many animal species, including primates, birds, and fish, exhibit a sense of number known as #Numerical #Competence, allowing them to discriminate and compare quantities of objects.

This foundational ability is thought to be an ancient cognitive trait, suggesting that the basic mechanics for perceiving quantity are shared by humans and other animals.

https://knowledgezone.co.in/posts/Animals-that-could-do-Math-6762bb557b620f019ff7fbb3

Many animal species, including primates, birds, and fish, exhibit a sense of number known as #Numerical #Competence, allowing them to discriminate and compare quantities of objects.

This foundational ability is thought to be an ancient cognitive trait, suggesting that the basic mechanics for perceiving quantity are shared by humans and other animals.

https://knowledgezone.co.in/posts/Animals-that-could-do-Math-6762bb557b620f019ff7fbb3

Many animal species, including primates, birds, and fish, exhibit a sense of number known as #Numerical #Competence, allowing them to discriminate and compare quantities of objects.

This foundational ability is thought to be an ancient cognitive trait, suggesting that the basic mechanics for perceiving quantity are shared by humans and other animals.

https://knowledgezone.co.in/posts/Animals-that-could-do-Math-6762bb557b620f019ff7fbb3

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'

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'

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'

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

#numerical : belonging to number

- French: numérique

- German: zahlenmäßig

- Italian: numerico

- Portuguese: numérico

- Spanish: numérico

------------

Fill in missing or incorrect translations @ https://wordofthehour.org/r/translations

Stuart McAlpine - Creating a Bayesian digital twin of our Universe (Sept. 18, 2025) https://www.youtube.com/watch?v=q5eSO_YOZR8

The Manticore Project I: a digital twin of our cosmic neighbourhood from Bayesian field-level analysis
https://arxiv.org/abs/2505.10682

"Leveraging field-level Bayesian inference with data from the
2M++ galaxy survey, our model incorporates refined galaxy bias modelling, high-fidelity reconstructions, and rigorous posterior predictive validation. As a result, Manticore-Local accurately reproduces the spatial distribution, mass hierarchy, and velocity fields of observed cosmic structures within the local Universe, outperforming previous state-of-the-art constrained simulations and velocity field reconstructions across multiple key metrics."

#numerical #bayesian #cosmology #simulation

Stuart McAlpine - Creating a Bayesian digital twin of our Universe (Sept. 18, 2025) https://www.youtube.com/watch?v=q5eSO_YOZR8

The Manticore Project I: a digital twin of our cosmic neighbourhood from Bayesian field-level analysis
https://arxiv.org/abs/2505.10682

"Leveraging field-level Bayesian inference with data from the
2M++ galaxy survey, our model incorporates refined galaxy bias modelling, high-fidelity reconstructions, and rigorous posterior predictive validation. As a result, Manticore-Local accurately reproduces the spatial distribution, mass hierarchy, and velocity fields of observed cosmic structures within the local Universe, outperforming previous state-of-the-art constrained simulations and velocity field reconstructions across multiple key metrics."

#numerical #bayesian #cosmology #simulation

Stuart McAlpine - Creating a Bayesian digital twin of our Universe (Sept. 18, 2025) https://www.youtube.com/watch?v=q5eSO_YOZR8

The Manticore Project I: a digital twin of our cosmic neighbourhood from Bayesian field-level analysis
https://arxiv.org/abs/2505.10682

"Leveraging field-level Bayesian inference with data from the
2M++ galaxy survey, our model incorporates refined galaxy bias modelling, high-fidelity reconstructions, and rigorous posterior predictive validation. As a result, Manticore-Local accurately reproduces the spatial distribution, mass hierarchy, and velocity fields of observed cosmic structures within the local Universe, outperforming previous state-of-the-art constrained simulations and velocity field reconstructions across multiple key metrics."

#numerical #bayesian #cosmology #simulation

Stuart McAlpine - Creating a Bayesian digital twin of our Universe (Sept. 18, 2025) https://www.youtube.com/watch?v=q5eSO_YOZR8

The Manticore Project I: a digital twin of our cosmic neighbourhood from Bayesian field-level analysis
https://arxiv.org/abs/2505.10682

"Leveraging field-level Bayesian inference with data from the
2M++ galaxy survey, our model incorporates refined galaxy bias modelling, high-fidelity reconstructions, and rigorous posterior predictive validation. As a result, Manticore-Local accurately reproduces the spatial distribution, mass hierarchy, and velocity fields of observed cosmic structures within the local Universe, outperforming previous state-of-the-art constrained simulations and velocity field reconstructions across multiple key metrics."

#numerical #bayesian #cosmology #simulation

Stuart McAlpine - Creating a Bayesian digital twin of our Universe (Sept. 18, 2025) https://www.youtube.com/watch?v=q5eSO_YOZR8

The Manticore Project I: a digital twin of our cosmic neighbourhood from Bayesian field-level analysis
https://arxiv.org/abs/2505.10682

"Leveraging field-level Bayesian inference with data from the
2M++ galaxy survey, our model incorporates refined galaxy bias modelling, high-fidelity reconstructions, and rigorous posterior predictive validation. As a result, Manticore-Local accurately reproduces the spatial distribution, mass hierarchy, and velocity fields of observed cosmic structures within the local Universe, outperforming previous state-of-the-art constrained simulations and velocity field reconstructions across multiple key metrics."

#numerical #bayesian #cosmology #simulation

🤔 Everyone knows how to compute variance... right?
⚠️ But the textbook formula can be wildly wrong on computers
👇 Here is why and how to fix it in practice

https://xuefeng-xu.github.io/blog/variance.html

#Numerical #Python