Eight capabilities. Four POCs. One computational engine.

Industrial control loops run on fixed PID gains tuned for nominal conditions. When a thermocouple drifts, a flow meter cavitates, or a vibration sensor saturates, the loop either overshoots into a trip or limps along at conservative setpoints. SolvSRK tracks state-space uncertainty inside the solve and exposes it as a control signal — the loop tightens when instruments are clean and widens automatically when they aren't.

A 6-DOF manipulator arm transitions between free-space slew, contact approach, and loaded manipulation — three stiffness regimes that standard solvers handle with three separate tuning profiles. SolvSRK's hybrid architecture handles all three in a single configuration, validated on SCARA 4-DOF and 7-DOF manipulator benchmarks with impedance-parity against LSODA across the full workspace.

Predictive-maintenance twins fail because the on-machine model and the cloud model are different software running on different hardware. A divergence alert could mean a real bearing fault or a numerical artifact — and the maintenance team cannot tell which without a truck roll. SolvSRK runs the same compiled binary on the PLC and in the cloud, so divergence means a real fault, not a software mismatch.

Industrial sensor buses carry hundreds of channels — temperature, pressure, vibration, flow, current, pH. Conventional anomaly detectors are ML classifiers trained on one operating profile that generate false alarms when the plant changes mode. SolvNum's scale-discontinuity detector fires on a 4× or larger jump in any channel — zero training data, zero retuning, one integer comparison per sample.

Commissioning a new control algorithm means closing the gap between the solver that worked in MATLAB and the solver that runs on the target PLC or embedded controller. SolvSRK is one C-native solver that runs in both places with identical behavior — validated for 100,000 integration steps with no drift, across stiffness regimes from gentle dynamics to eigenvalue ratios of 10⁶.

Every industrial simulation package ships with a default solver, and most engineers never change it. When the simulation fails or produces suspicious results, the first question is always 'was the solver appropriate for this system?' SolvScout fingerprints your ODE system. SolvTune benchmarks every candidate solver on it — dead zones called out, not hidden. SolvBench archives the decision for IEC 61508 review.

When a batch goes off-spec or a robot arm collides, the incident investigation needs to replay the control system's math exactly as it executed. Today, replaying on a different workstation produces different last digits. SolvNum produces bit-identical arithmetic across x86, ARM, GPU, and WASM — the replay matches the original execution, attestable by SHA-256.

Functional safety certification for industrial machinery requires demonstrating that the control system behaves within documented bounds. SolvSRK enforces a per-step excursion limit by design — a guaranteed property of the solver, not a runtime assertion in application code. The certification question 'show me the upper bound on per-tick command change' is answered in one line, not in a multi-week code review.