The solver that doesn’t crash when sensor data turns adversarial. Digital twins that actually match the platform. Embedded math that runs the same on the workstation, the HIL rig, and the airframe — and an evidence base built to survive a program-office audit.
Proofs of concept
Mission-stack POCs (Assured Sensing, SolvFilter tracking, coalition replay) plus SolvNum substrate proofs. Each ends with a captured metric and a hash you can re-derive. Stack-level product proofs (16–19) wire Assured Sensing, SolvFilter, and MoridainDefense to the same evidence model as the substrate POCs.
Synthetic end-to-end harness: recall@10 min 0.80, cross-cuing 1.0, hybrid BSE→ABFR→CFAR→MoridainDefense wiring PASS (job 8646). Field tapes still POC.
Full counter-UAV kill chain from radar return to battle damage assessment - seven steps, each backed by validated SolvSRK ODE integration. 100% survival at every stage where scipy scores 0%. Total per-drone cycle under 1.1s. The math layer a counter-swarm stack needs, validated across 125,000+ defense runs.
SF-3 CONFIRMED: 140/140 Riccati survival vs 0/280 scipy at dim=140. 74× lower cost than UKF with superior NEES consistency at scale.
Defense capabilities
The same noise-stable solver, embedded-first design, and audit-grade evidence base show up across air, sea, space, sensors, sustainment, and program acceptance.
Air & Autonomy
Flight controllers, autopilots, and autonomy stacks are only as good as the math inside them. Our solver runs the same compiled binary in MATLAB, on a HIL rig, and on the airframe - and survives the kind of noisy, impulsive, non-stationary sensor data that breaks every other integrator at exactly the moment it matters.
Sustainment & Readiness
Predictive maintenance and fleet-readiness twins fail because the on-board model and the cloud model are different software. We collapse them into a single binary, so a divergence between the platform and its twin means a real fault, not a software artifact. Less alert fatigue. Fewer false-positive inspections. Higher mission-capable rate.
Sensors & Fusion
Tactical data links and sensor-fusion buses compress a rich upstream picture into a small standardized message. MoridainDefense recovers bounded intelligence inside the existing envelope — operator-triage POC harness on synthetic fusion streams; card-rail IFX benchmarks live under the Moridain platform SKU.
Targeting & Decision Support
Targeting, mission planning, and clearance decisions all need to know how confident the math actually is. SolvSRK-UQ delivers calibrated uncertainty envelopes from a single solve - fast enough to sit inside an autopilot, an operator console, or an airworthiness certification harness instead of a Monte Carlo data-center campaign.
Space & Long-Duration
Orbit propagation, attitude control, and long-duration thermal models accumulate drift in standard solvers. SolvSRK is validated for 100,000 integration steps with no drift - across stiffness regimes from gentle dynamics to eigenvalue ratios of 10⁶ - without per-system tuning.
Naval & Subsurface
Subsurface navigation, current compensation, and drift correction live or die on solver behavior under sensor noise. Our solver was discovered through validation against exactly that regime - built embedded-first, in C, with airgapped license enforcement suitable for classified firmware.
Determinism & Replay
Mission orders are approved on one machine, executed on another, and replayed on a third — and the numbers have to be the same. SolvNum is a deterministic real-number primitive that produces bit-identical arithmetic across x86, ARM, NVIDIA GPU, and WebAssembly. One SHA-256 receipt proves plan = flight = replay. A cross-target equivalence argument that fits on one line of a DO-178C / ISO 26262 certification package.
Program Audit & Acceptance
Every numerical claim on this site traces back to a test, a seed, and a verdict in our internal evidence register. The same standard travels with the products you buy: SolvScout fingerprints your system and ranks every candidate solver with dead zones called out, and SolvJump plus SolvSRK proof runs archive the decision in replayable release bundles — so “why this solver?” has a defensible answer at TRR, milestone audit, and Section 818 review.
Have a specific program in mind?
We engage under appropriate agreements (NDA, ITAR-aware, and Canadian Controlled Goods where applicable). Briefs are short, technical, and respectful of your time.
The product line
Same catalogue and benefit-led copy as /products. Defense validation for libraries and stacks is under defense POCs.
Noise-robust integration and uncertainty — same binary from bench through HIL to flight.
Keep simulating when sensor noise kills every other integrator.
Your model is stiff and your data is messy — the combination that sends BDF and RK pipelines into blow-ups, silent early stops, or runtimes that miss the HIL window. SolvSRK is built so GN&C, propulsion, and process teams finish trajectories they can trust, then ship the same binary from bench to embedded target.
Uncertainty bands without a Monte Carlo farm.
Certification, risk, and autonomy teams need error envelopes — but thousand-run Monte Carlo grids miss program milestones. SolvSRK-UQ delivers calibrated uncertainty alongside the trajectory in one pass, fast enough for control loops, overnight risk batches, and evidence packages that auditors can reproduce.
Answer at time T without paying for every micro-step in between.
Long horizons and stiff linear structure punish time-marching solvers — you pay in steps, in stiffness, and in repeated factorizations across scenarios. SolvLRDE targets the linear response directly so scenario grids, strike ladders, and EMTP-style studies scale with factorization reuse, not with horizon length.
Tracking, deterministic arithmetic, bounded-signal enrichment, and channel conditioning inside live mission software.
Hold the track picture when UKF stops scaling.
At fleet-scale state dimension, UKF prediction becomes the bottleneck — or it simply does not finish. SolvFilter keeps multi-target EKF prediction inside embedded budgets so counter-UAS and fusion programs keep a consistent track state instead of dropping contacts when the covariance step blows the frame budget.
Plan, flight, and audit replay agree — provably.
When three teams run the same mission math on three platforms and get three different answers, the argument is never about physics — it is about arithmetic. SolvNum gives you bit-identical reals across CPU, GPU, and WASM with a cryptographic receipt, so V&V, coalition replay, and capital models stop fighting floating-point drift.
Rank the operator queue without a fusion model on the device.
Tactical links and fusion buses compress a rich picture into a thin message. MoridainDefense restores bounded intelligence inside that envelope — so strike, ship, SOF, and vehicle endpoints see role-tailored queues with severe-band threats surfaced by construction, not policy tuning.
See the dynamics in the channel again — without a tuning lab.
Contested sensing hides low-dimensional structure under noise; fixed denoisers either smear real signal or fail in the field. Assured Signal cleans scalar radar, sonar, EW, and telemetry traces automatically so detectors and trackers work on geometry, not garbage — with a design goal that reconstruction never makes the input worse.
Evidence-first solver selection and ground-side tuning — exploration stays on the bench.
Stop guessing which solver your model actually needs.
The wrong integrator costs months of false confidence before a stiff cell or noise case fails in review. SolvScout fingerprints your system, benchmarks every serious candidate on your problem, and shows a ranked table — including when a competitor wins — so model validation starts from evidence, not habit.
Shortlist integration candidates in minutes; confirm in hours—not weeks of sweeps.
Integration programs bleed calendar on hand-rolled parameter marathons and configs that only survive until the next variant. SolvJump ranks plausible integrator settings in minutes on the bench, then drives SolvSRK proof runs on finalists so you sign off in hours—not days or weeks babysitting sweeps.
Assured Sensing stack demos (BSE → detection → MoridainDefense) live in the proofs of concept above — same evidence model as the product briefs.
Engagement model
ITAR-aware. Airgapped delivery available for classified work. Compile-time license — no phone-home, no telemetry, no surprise dependencies. Every numerical claim traces back to a test ID, a seed, and a verdict in a live evidence register.
Governed research, licensable IP, partner programs.
Company brief, evidence, and data room access.