The Trapezium Rule is one of the most useful numerical methods in A-Level Maths.
It allows us to estimate the area under a curve by dividing it into trapeziums.
hemelprivatetuition.blogspot.com/2026/03/the-...
#Mathematics #STEMEducation #ALevelMaths #NumericalMethods
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...
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.
📢 [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
Explicit vorticity
#vorticity #explicit #fluidmechanics #turbulence #mathematics #physics #numericalmethods #navierstokes #differential #scalarfield #boundaryconditions #computationalfluidynamics #flowvisualization #vortexdynamics #physicalmodeling
5/5 An interesting point from the discussion: why is there more research focus on double-to-string (DTOA) conversion than string-to-double (ATOD)? This highlights a specific challenge area in numerical computation. #NumericalMethods
Preconditioning of a pollution-free discretization of the Helmholtz
equation
Harald Monsuur
Paper
Details
#HelmholtzEquation #PollutionFreeDiscretization #NumericalMethods
Wanna know how i figured it all out it was Pi the whole time delicious, delicious pi.
#FractalGeometry
#OrbitalMechanics
#ComputationalPhysics
#NumericalMethods
#FourierTransform
#DifferentialGeometry
#PiScaling
#TrajectoryPrediction
zenodo.org/records/1728...
Error analysis of DGTD method for Maxwell equations with interfaces
Researchers provide error analysis of a DGTD scheme for Maxwell equations, coupling a DG discretization with a leapfrog integrator and proving stability and convergence. getnews.me/error-analysis-of-dgtd-m... #dgtd #maxwell #numericalmethods
Entropy‑Consistent Scheme Links Nonlocal and Local Traffic Flow Models
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: getnews.me/entropy-consistent-schem... #trafficmodeling #numericalmethods
Meshfree Collocation Methods: A Comprehensive Overview
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: getnews.me/meshfree-collocation-met... #meshfree #collocation #numericalmethods
Multiscale Decomposition Enhances Fractional Equation Accuracy
Multiscale solution decomposition isolates singular components, letting standard numerical methods deliver higher precision and stability, benchmark tests show. Read more: getnews.me/multiscale-decomposition... #fractionalcalculus #numericalmethods
The package now includes MTKParameters for optimization, improved initialization, dynamic optimization, and new polynomial solvers. It's a major boost for modeling and simulation.
juliahub.com/blog/what-s-...
#JuliaLang #SciML #ModelingToolkit #Engineering #NumericalMethods #ScientificComputing
New Schemes Achieve Optimal Error for Logarithmic Schrödinger Equation
Two finite‑difference schemes—BDF1 and BDF2—solve the logarithmic Schrödinger equation without regularizing its singular term, with ℓ² error bounds. Read more: getnews.me/new-schemes-achieve-opti... #logarithmicschrodinger #numericalmethods
How can we analyze and interpret orbs, orbits, waves, wavelengths, and waveforms in new ways and use it as applicable information to solve problems.
#NBodySimulation
#OrbitalMechanics
#PhysicsSimulation
#NumericalMethods
#ChaosTheory
#DeterministicChaos
zenodo.org/records/1711...
Interval arithmetic is an existing method for uncertainty, but its limitations (e.g., overestimation, poor compositionality) have prevented mainstream adoption. It's a good starting point, but often insufficient. #NumericalMethods 4/5
💻 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
💻 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
Alternatives exist: For applications needing high accuracy or determinism, alternatives to standard floats were discussed. These include fixed-point, rational numbers, and decimal types, each with different trade-offs in precision vs. performance. #NumericalMethods 4/6
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.
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.
Need flexibility in solving nonlinear systems? NonlinearSolve.jl's modular design lets you combine Jacobian strategies, globalization, and descent methods to tailor your solver. hackernoon.com/modular-nonl... #JuliaLang #NumericalMethods #ScientificComputing
Researcher in Modeling of Aerosols, Cold Clouds and Climate - Lund, Sweden - www.earthworks-jobs.com/climate/lund... #jobs #AtmosphericScience #ComputerProgramming #NumericalMethods #CloudPhysics
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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
🖊️ 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
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
“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
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
El año empieza con publicaciones a todo lo que da. Apenas sacamos otro libro, de Métodos Numéricos y Matlab, en el que tuve el gusto de participar con un par de colegas. ¡A la venta en México acá! #book #science #MATLAB #numericalmethods www.amazon.com/dp/B0CZPJRXQH
"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
