Latest posts tagged with #numericalAnalysis on Bluesky
📄 Comparing Models of Rapidly Rotating Relativistic Stars Constructed b…
Quicklook:
Stergioulas, Nikolaos et al. (1995) · The Astrophysical Journal
Reads: 100 · Citations: 521
DOI: 10.1086/175605
#Astronomy #Astrophysics #ComputationalAstrophysics #ComputerizedSimulation #NumericalAnalysis
Nonlinear Dynamic Inverse Solution of the Diffusion Problem Based on Krylov Subspace Methods with Spatiotemporal Constraints
www.mdpi.com/2813-0324/11...
By Luis Fernando Alvarez-Velasquez et al.
From the 11th International Conference on Time Series and Forecasting
#NumericalAnalysis
📄 A Comparison of Numerical Methods for the Study of Star Cluster Dynam…
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Aarseth, S. J. et al. (1974) · Astronomy and Astrophysics
Reads: 5 · Citations: 254
DOI: N/A
#Astronomy #Astrophysics #AstronomicalModels #ComputerizedSimulation #NumericalAnalysis
Your college professor teaches you "A-stable methods are required for stiff ODEs". But PSA, the most commonly used stiff ODE solvers (adaptive order BDF methods) are not A-stable. #sciml #numericalanalysis #diffeq
www.youtube.com/shorts/hmKVQ...
Evelyn Boyd Granville: The Mathematician Who Programmed the Path to the Moon
voxmeditantis.com/2025/11/19/e...
#WomenInSTEM #STEM #OrbitalMechanics #NumericalAnalysis #Computing
Olga Taussky-Todd: The Torchbearer Who Transformed Matrices Into Mathematical Theory
voxmeditantis.com/2025/11/05/o...
#WomenInSTEM #STEM #LinearAlgebra #MatrixTheory #NumericalAnalysis
Bell polynomials have properties regarding scaling arguments by geometric progressions & values at sequences of factorials that radically simplify Traub's 1964 expression for all-equal-order-knot Lagrange-Hermite interpolants in the case of 2 knots. Convenient!
#math #NumericalAnalysis #splines
Is Octave a 'near-clone' of MATLAB? The community discussed. Octave shines for smaller numerical experiments, while MATLAB is recognized for its extensive toolboxes and deep industry integration. It's about choosing the right tool for the job. #NumericalAnalysis 2/5
Compact High-Order Symmetric Finite Difference Methods for Hypercubes
Compact symmetric finite-difference stencils reach fourth-order accuracy on uniform grids and yield symmetric positive‑definite matrices. Read more: getnews.me/compact-high-order-symme... #finitedifference #numericalanalysis #highorder
Diffuse Domain Method Convergence and Error Bounds for Parabolic PDEs
The diffuse domain method converges for second‑order parabolic PDEs, giving optimal error bounds as ε → 0. Posted Apr 2025, revised Oct 2025. getnews.me/diffuse-domain-method-co... #diffusedomainmethod #parabolicpdes #numericalanalysis
Instability of Sherman-Morrison Formula Fixed by Iterative Refinement
Study finds Sherman‑Morrison loses backward stability when condition numbers of A and A+uvᵀ approach ε_M⁻¹, but a few iterative‑refinement steps restore it. Read more: getnews.me/instability-of-sherman-m... #numericalanalysis #iterativerefinement
Recursive Inverse Laplace Method Delivers Symbolic High‑Accuracy Solutions
A recursive inverse Laplace method yields symbolic series with arbitrary precision for initial‑value problems, beating classic solvers in benchmarks. Preprint posted 1 Oct 2025. getnews.me/recursive-inverse-laplac... #laplace #numericalanalysis
Unsymmetric Kernel Matrices Spectrally Equivalent to Symmetric Forms
Research shows a shift makes unsymmetric kernel matrices spectrally equivalent to symmetric ones, giving lower‑bounds on the smallest eigenvalue via separation distance. Read more: getnews.me/unsymmetric-kernel-matri... #kernels #numericalanalysis
🆕🎬Orbit equivalence and topological and measurable dynamics
Marrakchi, Amine (2025). Strongly ergodic equivalence relations and full factors. CIRM. Audiovisual resource. dx.doi.org/10.24350/CIR...
library.cirm-math.fr/Record.htm?i...
@cirm-math.bsky.social #math #NumericalAnalysis #DynamicalSystems
“That’s the beauty of limits: they don’t depend on the actual value of the function at the limit. They describe how the function behaves when it gets close to the limit.” - From Khan Academy
#MathJourney #Calculus #NumericalAnalysis #LearningInPublic
Yo! They used the BFGS algorithm, and "S" was SHANNO! That reminded me who it was who tried to recruit me into numerical analysis. It was this very Professor Shanno! […]
I an in Glasgow for the Leslie Fox prize meeting, celebrating young people's contributions to numerical analysis. Already heard two interesting talks. I velieve four more are to follow. Exciting!
#NumericalAnalysis
Suitability for SciComp vs ML is a key debate for Posits. There are trade-offs in error propagation & precision that must be carefully weighed depending on the specific application's requirements. #NumericalAnalysis 2/6
Key insight: Gaussian integration is highly accurate, precisely evaluating polynomials up to a certain degree based on the number of points. This precision was a core discussion point. #NumericalAnalysis 2/6
Numerical stability is a significant concern. The algorithm uses more additions/subtractions. Comments noted these operations can introduce more floating-point precision errors than multiplications, potentially impacting overall accuracy for sensitive computations. #NumericalAnalysis 3/7
People in the market for a postdoc position in numerical linear algebra should look at the advert for a postdoc in Edinburgh "devoted to research on Randomized Numerical Linear Algebra for Optimization and Control of Partial Differential Equations."
The mentors are John Pearson (Edinburgh) and […]
Thanks to the Manchester NA group for organizing a seminar by David Watkins, one of the foremost experts on matrix eigenvalue algorithms. I find numerical linear algebra talks often too technical, but I could follow David's talk quite well even though I did not get everything, so thanks for that […]
Promotional graphic featuring the book 'High-Accuracy Finite Difference Methods' by Bengt Fornberg. The cover displays a title along with a visual element of a blue and white abstract design.
High-Accuracy Finite Difference Methods by Bengt Fornberg
Addresses an important and current topic in scientific computing not found in standard books on the finite difference method.
https://cup.org/42MGhJA
#numericalanalysis
youtu.be/twfHYd0e9vM
#roots #polynomials #maplesoft #maple #numericalAnalysis #mathematics #math #equations
SUperman: Efficient Permanent Computation on GPUs
#CUDA #MPI #HPC #NumericalAnalysis #Package
hgpu.org?p=29806
Every time I read 'Crank-Nicholson scheme,' my brain reads 'Jack Nicholson.' No more numerical analysis for me at night. 😂📚 #MathHumor #NumericalAnalysis
Title card of FE Stokes Re-Pair
pile of wrapped gits with a deck of FEStokes-RePair on top
A combination of five cards, a mesh type card, a velocity, a pressure card and two extra (stabilization) cards
Screenshot of the Table-Top-Simulator Mod for FEStokes-RePair
✨ A small dream came true last year: In the past year, we developed our very own (nerd) card game: FEStokes-RePair! 🎉🃏
For details see here: fe-nerd-games.github.io/FEStokesRePa... (and the thread below)
#NumericalAnalysis #MathGames #EducationalGames #FiniteElements #FEStokes-RePair
CuPy is an open-source array library for GPU-accelerated computing with Python. CuPy utilizes CUDA Toolkit libraries including cuBLAS, cuRAND, cuSOLVER, cuSPARSE, cuFFT, cuDNN and NCCL to make full use of the GPU architecture.
cupy.dev
#cuda #python #gpuAcceleration
#numericalAnalysis
I'm looking for some resources to learn Python. Does anyone have some favorites to check out? #python #numericalanalysis #CS
Why should We use Orthogonal Polynomials?
rahulbhadani.medium.com/why-should-w...
#DataScience #Regression #Polynomials #orthogonalpolynomial #statistics #mathematics #models #numericalanalysis
#academicsky
