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zfifteen / curvature-budget-collapse

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A research repo exploring how adaptive linear approximation behaves near thin stiff layers. It proposes a threshold law for when layers control node placement, introduces a diagnostic fingerprint for subcritical inversion, and backs both with derivations, simulations, plots, and practical Python examples.

interpolation scientific-visualization computational-mathematics scientific-computing finite-elements numerical-analysis error-analysis mesh-adaptation asymptotic-analysis manim stiff-odes equidistribution boundary-value-problems singular-perturbation adaptive-meshing boundary-layers research-simulations
  • Updated Apr 6, 2026
  • Python

mohammadijoo / DifferentialEquationIntegratorBenchmarks_MATLAB

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MATLAB benchmark suite for comparing numerical integrators on classical differential-equation problems, including linear decay, harmonic oscillator, Van der Pol, Lorenz, Robertson kinetics, and Kepler two-body dynamics. The repository includes performance plots, accuracy metrics, conservation analysis, and a simulation video available on YouTube.

matlab computational-mathematics scientific-computing dynamical-systems differential-equations numerical-methods numerical-integration benchmark-suite runge-kutta leapfrog performance-comparison rk4 verlet-integration stiff-odes symplectic-integrators kepler-problem adaptive-step-size lorenz-system ode-solvers ode-integration
  • Updated Jun 15, 2026
  • MATLAB

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