NumPilot — Describe it. We solve it.

How it works

AI composes. The solver computes.

Most “AI physics” tools ask a language model for the answer. NumPilot never does — the AI only sets up the problem, and a deterministic numerical solver does the actual physics.

Describe an analysis

Say it the way you'd say it to a colleague. No mesh, no boundary-condition menus, no manual.

✨ how hot a 50 W chip runs on a copper spreader

a comb drive with a tighter gap resistance of a thin copper wire a thick comb actuator at 80 V

AI picks a verified template

The AI maps your words to one of 14 verified templates and sets parameters — every value clamped to the solver's validated range. If your ask doesn't fit, it says so instead of faking it.

templateheat · chip on spreader

power50 W ✓ in bounds

source6 mm ✓ in bounds

Your iPhone does the physics

A finite-difference / finite-element solve runs entirely on device — matrix-free preconditioned conjugate gradient, converged in a blink. Then drag sliders and it re-solves instantly.

solver ∇·(k∇T) + q = 0
method FDM · preconditioned CG
where on device — no server
✓ converged · residual 1e-6

The catalog

Five physics domains. Fourteen verified models.

Every template is a real solver, cross-checked against analytical limits — from MEMS actuators to heat sinks to motors.

⚡️

Electric fields

capacitance · MEMS

Comb-drive actuator — capacitance & force
Parallel-plate capacitor — fringing fields
Coaxial cable — C per length
Interconnect crossover — crosstalk

🔌

Current & resistance

resistance · current crowding

Bulk resistance — R = ρL/A, but real
Spreading & contact resistance
Current constriction — hot-spot necks

🔥

Heat

temperature · spreading

Chip on a copper spreader
Tiny source — hot spot
Finned heat sink — convection
Bare block — no fins

🧲

Magnetic fields

motors · magnets

2-pole PM motor — air-gap flux
Halbach array — one-sided flux
Electromagnet — iron-core coil

🏗️

Stress

beams · brackets

Plate with a hole — Kt ≈ 3
Cantilever beam — bending
L-bracket — corner stress

📡

RF & waves

high frequency

Waveguides, antennas, resonance

coming soon

Verified

Trust every number.

Each solver is cross-checked against analytical limits before it ships — the classics you'd use to check a junior engineer's work.

δ = PL / AE

Elasticity solver vs. the axial bar and cantilever bending solutions.

✓ verified in ElasticityTests

|B| → μ₀I / 2πr

Magnetostatics vs. Ampère's law for a straight wire.

✓ verified in MagnetoSolverTests

F(V²) linear · R² ≈ 1

Comb drive: grid convergence, constant force, and fringing beyond parallel-plate.

✓ verified for convergence & fringing

✓

The AI never invents numbers. It can only choose a verified template and set parameters inside validated bounds. Every result on screen came out of a deterministic solver — and the AI's one-line summary is grounded only in those computed numbers.

Pricing

The physics is free. Forever.

Free includes the full catalog, AI compose, live tweaking, and sharing. Pro unlocks professional export.

Free

everything you need to explore

The entire catalog — all 14 verified models
AI compose — describe an analysis in plain words
Live tweaking with instant re-solve
Share links & community board

BEST VALUE $19.99/yr

NumPilot Pro

$2.99/month

or $19.99/year — take your analyses out of the app

Publishable reports — one-tap LaTeX + PDF export
HD share cards — high-res, watermark-free
Support the solver — keep every result verified and the catalog growing

Subscriptions are billed through the App Store and can be cancelled anytime.