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Gaussian Double-Grid Explorer

See how two independently perturbed grids reshape a finite Gaussian collocation matrix.

This browser-only demonstrator uses the standard Gaussian kernel and ordinary finite-dimensional linear algebra. It is intentionally separated from the protected research chain: no asymptotic theorem, crossover constant, proof reduction, certificate, or internal implementation is exposed here.

Runs locally in the browser · no network call · no data upload
Perturbed grid geometry
cyan = grid A · magenta = grid B · reference ticks = integers
Finite Gaussian collocation matrix · intensity view
bright = stronger kernel interaction
finite condition estimate
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2-norm estimate from AᵀA
smallest singular value
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finite matrix only
largest singular value
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finite matrix only
sensitivity band
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illustrative label

What this page demonstrates

Two independently perturbed index sets define a finite Gaussian collocation matrix. Changing either grid alters the interaction geometry and therefore the finite numerical conditioning. The heatmap and singular-value estimate make that effect visible without exposing the protected analytical machinery.

Public-safe content

  • standard Gaussian kernel evaluation
  • small finite matrices
  • ordinary singular-value estimation
  • synthetic grid patterns
  • browser-local visualization

Intentionally omitted

  • protected asymptotic bounds
  • crossover constants or sharp thresholds
  • zero-grid / Feshbach proof architecture
  • certificates and internal notes
  • industrial solver or licensing code