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Capabilities

This page answers what can Eqiora do today, and how was that conclusion reached? It is organized by problem family. The repository capability matrix remains the maintained complete product map.

These labels describe different facts; they are not a single maturity ladder.

  • Available — a user-visible contract or surface exists.
  • Executable — at least one described path runs end to end.
  • Checked — focused product tests exercise the stated behavior.
  • Verified — reproducible registered evidence supports the stated result.
Problem family Current public boundary Status
Foundations and numerics Bounded Cartesian and affine-triangle Poisson paths Verified
Fluid Exact-cylinder steady Stokes product path Checked
Fluid Transient cylinder-flow startup presentation Executable
Solid Bounded mixed-boundary linear elasticity Verified
Thermal Passive-scalar temperature transport only Not available as a general thermal package
Circuits and hybrid systems Packaged DC motor and sampled controller Verified
Geometry and meshing Exact circular-hole planar geometry Verified
Differentiation and optimization Bounded spatial Poisson differentiation Verified
Execution Common scalar first-order ODE lifecycle Verified
Interfaces Local CLI compile and check Verified

The summaries below state the current boundary, status basis, and main limits.

Stationary scalar elliptic PDE

Status: Verified

Poisson problems run on generated Cartesian meshes in 1D–3D through finite elements or finite volumes; one fixed 2D triangular finite-element path is also covered.

Exact boundary
Generated Cartesian meshes in 1D–3D and one fixed affine-triangle 2D path, within the formulations and solvers named by the matrix.
What this establishes
Bounded numerical execution and independently registered checks for the listed Poisson paths.
Current limits
Fixed Poisson formulations and the listed Cartesian or affine-triangle meshes.

Exact-cylinder steady Stokes product path

Status: Checked

One installed-Python path authors exact planar geometry, meshes it with Gmsh, resolves a steady Stokes plan, and publishes finite Result observations.

Exact boundary
One 2D exact circular-hole geometry and the named Gmsh, MINI/P1, linear, and result-projection policies used by the walkthrough.
What this establishes
Focused product tests cover the current Geometry → Mesh → Plan → Run → Result lifecycle.
Current limits
One steady Stokes setup; convergence and force coefficients are not included.

Transient cylinder-flow startup presentation

Status: Executable

One bounded installed-Python startup path advances accepted states and exposes typed vorticity, force, and pressure observations for caller-owned media.

Exact boundary
The fixed exact-cylinder setup, policies, time window, and serial execution shown in the Gallery page.
What this establishes
The bounded lifecycle produces accepted observations suitable for an illustrative walkthrough.
Current limits
A short startup interval, not a developed-wake benchmark.

Mixed-boundary linear elasticity

Status: Verified

One bounded 2D linear-elasticity problem executes through direct and exact-package authoring to the same common result.

Exact boundary
A Cartesian Q1 realization with complete trace-zero sides, zero weak traction, and the registered manufactured mixed-boundary case.
What this establishes
The registered case checks direct/package equivalence, convergence, traction recovery, reaction balance, and fail-closed binding.
Current limits
Linear small-strain behavior on the listed 2D Cartesian realization.

Eqiora does not yet ship a general thermal component package. The current temperature-dimension example exercises passive-scalar transport. See the thermal and transport rows in the complete matrix.

Packaged DC motor and sampled controller

Status: Verified

One serial model combines an ideal linear DC motor, viscous load, and proportional sampled controller.

Exact boundary
Exactly three packages, scalar electrical and rotational coordinates, one 10 ms clock, host-serial f64, dense Newton, and backward Euler.
What this establishes
Registered evidence checks package composition, continuous and sampled semantics, typed physical observations, and the bounded trajectory.
Current limits
Ideal linear devices and one fixed-rate sampled controller on the serial host path.

Exact circular-hole planar geometry

Status: Verified

Python authors one axis-aligned rectangle minus one strictly interior exact circle with complete named region and boundary membership.

Exact boundary
One tolerance-free planar geometry family and its bounded Gmsh realization path.
What this establishes
Registered cases check canonical geometry identity, named membership, Python projection, and fail-closed replay.
Current limits
One planar rectangle-minus-circle family with its named boundaries.

Bounded spatial Poisson differentiation

Status: Verified

Selected Poisson objectives expose parameter derivatives through the admitted differentiation paths.

Exact boundary
The exact FEM/FVM formulations, scalar parameters, objectives, and host reference environments named by the registered case.
What this establishes
Registered comparisons include independently evaluated centered finite differences for the bounded derivative claims.
Current limits
The listed Poisson objectives, scalar parameters, and host paths.

Common first-order ODE lifecycle

Status: Verified

Canonical scalar first-order models resolve without a mesh and run through the common Python Plan, State, Run, and Trajectory lifecycle.

Exact boundary
Admitted non-stiff scalar problems using exact field-bound tolerances, Diffsol Tsitouras 5(4), and strictly increasing requested output times.
What this establishes
Registered interface and time cases check execution, immutable field-selected series, replay, and retained model lineage.
Current limits
Non-stiff scalar first-order models with requested output times.

Local CLI compile and check

Status: Verified

The installed `eqiora check` command compiles and checks one local Eqiora Model source file and returns bounded diagnostics.

Exact boundary
The exact command, help, exit behavior, source size, diagnostic envelope, and local-file contract documented by the CLI reference.
What this establishes
Registered interface checks bind the current command surface and its compile/check behavior.
Current limits
One local source file per invocation; compilation and checking only.

See Checking a claim to find the underlying manifests and run a selected check. The repository’s capability matrix records implementation and verification independently.