CASE STUDIES
Proven Results
Two breakthrough technologies. VLA exact arithmetic eliminates numerical drift. Mixture LDT captures extreme tail events standard models miss.
PRECISION
VLA Exact Arithmetic
Zero accumulation error. Deterministic results. Errors that standard tools miss.
Industrial / Manufacturing
Digital Twins: Zero-Drift Industrial Simulation
$4.2M annual savings for Fortune 100 manufacturer. 94% failure prediction accuracy. Zero recalibration needed — ever.
Read case studyPhysics Simulation
Chaos Conquered: Exact Time Reversal
50,000 steps of double pendulum chaos, perfectly reversed to ZERO error. Three-body problem solved. 60 years of "impossible" — now possible.
Read case studyQuantum Computing
Quantum Unitarity Preserved
100,000 quantum gate operations. U†U = I EXACTLY. FP64 shows 6.83e-13 error. VLA shows 0.0.
Read case studyScientific Computing
Hilbert Matrix: NumPy is Wrong
NumPy gives WRONG determinant signs at n=14,15,16,20. VLA gives CORRECT signs. Mathematically proven.
Read case studyNumerical Analysis
Wilkinson's Polynomial
The "most traumatic" problem in numerical analysis (1963). FP64 fails catastrophically. VLA recovers all 20 exact roots.
Read case studyGraphics & Rendering
Shadow Acne Eliminated
Every ray tracer fights shadow acne. The cause: floating-point error. Exact arithmetic eliminates it completely.
Read case studyQuantitative Finance
Correlation Matrix: Higham's Algorithm Fails
The industry "gold standard" for fixing non-PD matrices failed on real data. 50 seconds, still broken. VLA: 135ms, guaranteed PD.
Read case studyTAIL RISK
Mixture LDT
Novel mathematics for bimodal distributions. Standard models underestimate extreme events by 10²⁷×.
Fire Spread Prediction
Jasper 2024: When Standard Models Failed
Cell2Fire predicted 8% burn. Actual was 28.8%. SimFire predicted 31.9% — within 3.1 percentage points. 6.7x more accurate on the same grid.
Read case studyFire Science / Emergency Management
Wildfire Spotting: 10x Further Than Models Predict
LA 2025 fires traveled 1+ miles via ember transport. Standard models said "impossible." Mixture LDT captures wave-boosted transport correctly.
Read case studyInsurance / Reinsurance
Insurance Catastrophe: $12.6B Capital Gap
Standard actuarial models underestimate tail losses by 10²⁷×. Mixture LDT reveals insurers are 37% undercapitalized for extreme events.
Read case studyHave a Numerical Challenge?
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