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odesolver.bsky.social
𝐒𝐭𝐢𝐟𝐟 𝐄𝐪𝐮𝐚𝐭𝐢𝐨𝐧

⚡ Stiff ordinary differential equations are the hardest to solve numerically. The solution snaps to cos(x) and tracks it closely.

dy/dx = -15(y - cos(x))

A classic test case for ODE solvers.

Plotted with our free ODE solver.

#ODE #DifferentialEquations #NumericalMethods
November 7, 2026 at 2:12 AM
informaq.bsky.social
Novel variational perturbation theory extends steady-state computation efficiency in open quantum systems, eliminating costly pseudo-inverse operations and expanding convergence radius even near dissipative phase transitions.

#QuantumComputation #NumericalMethods #News
Variational Perturbation Theory for Open Quantum Steady State Computation
iq.fp2.dev
October 22, 2026 at 5:17 PM
jmlmc.bsky.social
Numerical Splitting Schemes as the Cornerstone for Mini-Batch Optimization: On the Importance of Well-Balanced Methods

www.dl.begellhouse.com/journals/558...

#NumericalMethods #Optimization #MachineLearning
September 30, 2026 at 4:45 PM
ssrn.bsky.social
This paper replaces expensive matrix-exponential calculations in Fokker-Planck equations with rational approximations, delivering similar accuracy while running 10-32× faster in benchmark tests. spkl.io/633277RzBb

#NumericalMethods #ScientificComputing
Table 2. Positivity thresholds on a sinh-stretched mesh, x = csinhξ with ξ uniform, for the Ornstein Uhlenbeck operator Eq. (24) with κ = σ = 1 on [−6,6] at fixed n = 161; smaller c gives stronger grading. The weighted column sum Eq. (15) holds to round-off at every stretching, and the negative off-diagonal entries remain confined to the bands ±2, so the operator remains EM. Across the sweep, τ0 increases by a factor of 2.4 and γ0 by 4.2, whereas γr changes by only 0.6%
September 8, 2026 at 6:00 PM
stevemaths.bsky.social
In #MathsToday

Have been discussing working with 'Errors' in Numerical Methods Y434 option in A level Further Maths B (MEI).

Take care with substituting Exact value x and Approximate value X in the relative error formula (X-x)/x.

#ALevel #FurtherMaths #H635 #NumericalMethods
#UKMathsChat
January 27, 2025 at 4:00 PM
minddraft02.bsky.social
www.hackedexams.com/item/103729/...
2025 OCR As Level Further MathemATIcs B Mei Mark Scheme Paper 1 Y414 01 Numerical Methods
#2025OCR #2025OCRAsLevel #AsLevelFurtherMathemATIcs #MathemATIcs #Y41401 #NumericalMethods #hackedexams
April 14, 2026 at 8:54 AM
minddraft02.bsky.social
www.hackedexams.com/item/103736/...
2025 OCR A Level Further MathemATIcs B Mei Mark Scheme Paper 1 Y434 01 Numerical Methods
#2025OCR #2025OCRALevel #MathemATIcsB #MathemATIcsBMei #Y43401 #NumericalMethods #hackedexams
April 13, 2026 at 12:59 PM
minddraft02.bsky.social
www.hackedexams.com/item/103743/...
2025 OCR As Level Further MathemATIcs B Mei Printed Answer Booklet Paper 1 Y414 01 Numerical Methods
#2025OCR #2025OCRAsLevel #FurtherMathemATIcs #NumericalMethods #Y41401 #MathemATIcs #hackedexams
April 13, 2026 at 12:47 PM
minddraft02.bsky.social
www.hackedexams.com/item/103758/...
2025 OCR As Level Further MathemATIcs B Mei Paper 1 Y414 01 Numerical Methods
#2025OCR #2025OCRAsLevel #FurtherMathemATIcs #2025OCRAsLevelMathemATIcs #MathemATIcs #NumericalMethods #Y41401 #hackedexams
April 13, 2026 at 12:39 PM
john-jonsteyn.bsky.social
Beginning the MSc in Artificial Intelligence at the University of Essex this July.

It’s a broad and thoughtful course — #machineLearning, #intelligentAgents, #numericalMethods, #knowledgeSystems, and a major #research project.

I’ll be sharing my journey here, time permitting.
University of Essex crest displayed prominently on the left, featuring a white dragon above a knight’s helmet and a red shield with three white seaxes and an open book. Behind the crest is the university’s campus with modern buildings, a large pond, and a water fountain. The words "University of Essex" appear clearly on the right.
April 17, 2025 at 12:20 PM
frank-mcg.bsky.social
we are not designed to comprehend the numbers we have grown to use, nor advanced math like Euler's equation - my daughter doing bio-engineering at stanford is modelling dna/proteins and cellular systems using math/numericalMethods - mainstreet will never grok that
November 25, 2024 at 1:51 PM
getnews-me.bsky.social
Researchers provide error analysis of a DGTD scheme for Maxwell equations, coupling a DG discretization with a leapfrog integrator and proving stability and convergence. https://getnews.me/error-analysis-of-dgtd-method-for-maxwell-equations-with-interfaces/ #dgtd #maxwell #numericalmethods
Error analysis of DGTD method for Maxwell equations with interfaces
October 6, 2025 at 12:34 PM
getnews-me.bsky.social
Researchers present a Godunov‑type scheme for traffic flow that offers an error estimate of order ε + h + √(ε t) + √(h t) and a uniform L∞ bound. Read more: https://getnews.me/entropy-consistent-scheme-links-nonlocal-and-local-traffic-flow-models/ #trafficmodeling #numericalmethods
Entropy‑Consistent Scheme Links Nonlocal and Local Traffic Flow Models
October 2, 2025 at 8:28 PM
getnews-me.bsky.social
Meshfree collocation methods approximate differential operators without a mesh, using particles like RBF, MLS, SPH and RKPM. The overview was submitted on 24 Sep 2025. Read more: https://getnews.me/meshfree-collocation-methods-a-comprehensive-overview/ #meshfree #collocation #numericalmethods
Meshfree Collocation Methods: A Comprehensive Overview
September 26, 2025 at 7:26 PM
getnews-me.bsky.social
Multiscale solution decomposition isolates singular components, letting standard numerical methods deliver higher precision and stability, benchmark tests show. Read more: https://getnews.me/multiscale-decomposition-enhances-fractional-equation-accuracy/ #fractionalcalculus #numericalmethods
Multiscale Decomposition Enhances Fractional Equation Accuracy
September 24, 2025 at 4:34 PM
getnews-me.bsky.social
Two finite‑difference schemes—BDF1 and BDF2—solve the logarithmic Schrödinger equation without regularizing its singular term, with ℓ² error bounds. Read more: https://getnews.me/new-schemes-achieve-optimal-error-for-logarithmic-schrodinger-equation/ #logarithmicschrodinger #numericalmethods
New Schemes Achieve Optimal Error for Logarithmic Schrödinger Equation
September 19, 2025 at 10:20 PM
rmathew4bs.bsky.social
“How Does A Computer/Calculator Compute Logarithms?”, Zach Artrand (zachartrand.github.io/SoME-3-Living/).

Via HN: news.ycombinator.com/item?id=4074... (which provides important addenda)

#Calculator #Mathematics #Maths #Logarithms #TaylorSeries #NumericalMethods #NumericalAnalysis #FastMath
SoME-3-Living
Summer of Math Exposition 3 - How does a computer/calculator compute logarithms?
zachartrand.github.io
June 22, 2024 at 12:10 PM
rmathew4bs.bsky.social
Nice:

“Taming Floating Point Sums”, Orson Peters (orlp.net/blog/taming-...).

Via HN: news.ycombinator.com/item?id=4047...

On Lobsters: lobste.rs/s/lps7qx/tam...

#Programming #NumericalMethods #FloatingPoint #Sum #KahanSummation #Rust #AutoVectorization #Speed #Accuracy #RoundingErrors
Taming Floating-Point Sums | orlp.net
orlp.net
May 26, 2024 at 12:41 PM
rmathew4bs.bsky.social
"Floats Are Weird", Anthony Wang (a.exozy.me/posts/floats...).

Via HN: news.ycombinator.com/item?id=3942...

On Lobsters: lobste.rs/s/2axq6g/flo...

See also: "The Right Way To Calculate Stuff" [2003], Don Hatch (www.plunk.org/~hatch/right...).

#Arithmetic #NumericalMethods #FloatingPoint
Floats Are Weird
Compute this limit more accurately with one weird trick!
a.exozy.me
February 21, 2024 at 1:04 AM
begellhouse.bsky.social
💻 Struggling with grid orientation effects in heterogeneous reservoirs? Our new nine-point finite analytical scheme delivers superior accuracy regardless of heterogeneity strength. Free until August 31st!

dl.begellhouse.com/journals/49d...

#ReservoirSimulation #NumericalMethods
July 16, 2025 at 1:28 PM
cimne.com
📢 [𝗣𝗵𝗗 𝗔𝗹𝗲𝗿𝘁] Join CIMNE to research Reduced Order Models for coupled multiphysics and Fluid–Structure Interaction.

📍 Barcelona
💶 Fully funded (38–40k €/year)
⏳ Apply by 27 Feb 2026

🔗 cimne.talentclue.com/en/node/1224...

#PhD #Physics #NumericalMethods
Banner promoting a PhD opportunity at CIMNE. On the left, teal background with bold white text reads: “PhD OPPORTUNITY – ROMs for Coupled Problems – COMBINE Project – CIMNE.” On the right, a person sits indoors with a laptop, gazing thoughtfully into the distance, suggesting a modern, reflective research environment.
January 27, 2026 at 3:41 PM
cimne.com
🖊️ 𝗦𝗔𝗩𝗘 𝗧𝗛𝗘 𝗗𝗔𝗧𝗘! Join Prof. Patrick Farrell from the University of Oxford for insights into numerical methods for transient systems.

📅 Mar 31, 2025, 12:00 CET at CIMNE, Barcelona, or💻 stream online.

A #CIMNE #Seminar in #NumericalMethods!

🔗 www.cimne.com/vnews/12298
A promotional poster for a seminar organized by CIMNE. The seminar is titled 'Designing conservative and accurately dissipative numerical integrators in time' and will be presented by Dr. Patrick Farrell. The event is scheduled for March 31, which falls on a Monday, at 12:00 PM. The seminar will take place in the OCZ Room, located in C1, Campus Nord, and will also be available online. The poster includes a QR code for additional information or registration
January 27, 2025 at 7:58 PM
begellengineering.bsky.social
💻 Struggling with grid orientation effects in heterogeneous reservoirs? Our new nine-point finite analytical scheme delivers superior accuracy regardless of heterogeneity strength. Free until August 31st!

dl.begellhouse.com/journals/49d...

#ReservoirSimulation #NumericalMethods
July 16, 2025 at 1:29 PM
studypartner001.bsky.social
Solutions Manual For An Introduction To Numerical Methods And Analysis 3rd Edition By James F Epperson
#SolutionsManualForNumericalMethodsAndAnalysis #NumericalMethodsAndAnalysis #NumericalMethods #Analysis #3rdedition #hackedexams

www.hackedexams.com/item/96644/s...
January 29, 2026 at 12:38 PM