PDE-Agent
CauchyNet
O-PINN Ontology
Online
Use Cases
Solver Pipeline
1
Planner LLM
Awaiting input...
2
Parser / Solver
Thermal param extraction
3
CauchyNet Init
Width-first network config
4
Adam Phase
1st-order · coarse convergence
5
L-BFGS Phase
Quasi-Newton · fine convergence
6
Orchestrator
Result validation · export
O-PINN Thermal Solver
Describe your thermal simulation problem in natural language.
The agent will automatically orchestrate CauchyNet to complete the full solve workflow.

Select a scenario above or type below →
📊 Phase-change transient conduction
🌊 Convective BC h = 25 W/m²K
⚡ Conjugate heat-flow coupling
🔍 Parameter sweep: k sensitivity
O-PINN Three-Kernel Status
Semantic · Constraint · Action × PINN
Semantic Kernel
OWL2-DL thermal ontology
Tool metadata · IOF/OntoCommons
Constraint Kernel
SHACL-SWRL physical validity
BC parameter auto-verification
Action Kernel
Agent + PINN · Prog-Act
Dual-loop training scheduler
NETWORK CONFIG
ArchitectureCauchyNet-Base
Depth5 layers
Width256 neurons
ActivationTanh + Swish
TRAINING STATUS
PhaseIdle
Iterations—
PDE Loss—
BC Loss—
Loss Curve
— PDE Loss — BC Loss