Diogo Ribeiro·4h agoPINNs Against Finite Differences, Spectral Grids and Monte Carlo, from One to Eight DimensionsA matched-accuracy benchmark on two ground states with exact answers. The dimension at which a physics-informed network starts to beat a…
Ronaph3·Nov 2A Correct Gravity Equation Can Still Produce the Wrong OrbitComparing Euler, Velocity Verlet, and RK4 through energy drift, endpoint error, and numerical convergence.
Simon·Nov 1Simulating Fluid Flow with the SIMPLE MethodThis article describes the SIMPLE method (Semi-Implicit Method for Pressure-Linked Equations). The method was proposed by S. Patankar and…
Simon·Oct 28Simulating a Fluid with Chorin’s MethodThis article describes the numerical method implemented in this project: the equations, Chorin’s splitting scheme, the staggered grid, the…A response icon1A response icon1
Michael Stebel·Oct 23Perturbation Theory Through the Lens of CalculusHow small corrections connect deep fractal zooms, pendulums, quantum physics, and better engineering decisions
Simon·Oct 20Solving the Steady-State Heat Equation. Part 2. The Two-Dimensional CaseIn the first part we solved the problem for a rod. There the temperature depended on a single coordinate, the answer was known in advance…
Simon·Oct 19Solving the Steady-State Heat Equation, Part 1: The 1D RodIf the ends of a rod are held at constant temperatures, the temperature distribution along it can be found without a computer: it is…
InThe AcademicbyDiogo Ribeiro·Sep 30Measured in Grid PointsPINN, DeepONet and FNO against the finite-difference solver they all have to beat, on one equation with an exact solutionA response icon5A response icon5
Susii Komalasari·Sep 16Catatan Belajar JavaScript: Dari Looping Sederhana hingga Mencari Akar Secara IteratifMemahami bagaimana perulangan sederhana dapat dikembangkan menjadi algoritma perhitungan yang lebih kompleks
Kavan Vyas·Aug 31Rectangles, Trapeziums, and an Error You Can Write Down ExactlyWhat the parabola y = x² + c shows about numerical integrationA response icon1A response icon1
