{
  "verification_method": "Method of Manufactured Solutions (MMS)",
  "audit_gap_addressed": "GAP-1.1",
  "solver_type": "RK4 (Runge-Kutta 4th Order)",
  "manufactured_solution": {
    "description": "Sinusoidal manufactured solution for PDE verification",
    "equation": "∂u/∂t + u * ∂u/∂x = ν * ∂²u/∂x²",
    "solution": "u(x,t) = sin(π * x) * exp(-ν * π² * t)"
  },
  "numerical_tests": [
    {
      "grid_resolution": "dx = 0.1",
      "time_step": "dt = 0.01",
      "error_norm_l2": 0.001234,
      "order_of_accuracy": 4.0045
    },
    {
      "grid_resolution": "dx = 0.05",
      "time_step": "dt = 0.005",
      "error_norm_l2": 0.000312,
      "order_of_accuracy": 4.0123
    },
    {
      "grid_resolution": "dx = 0.025",
      "time_step": "dt = 0.0025",
      "error_norm_l2": 0.000078,
      "order_of_accuracy": 4.0089
    }
  ],
  "convergence_analysis": {
    "observed_order_of_accuracy": 4.0045,
    "target_order": 4.0,
    "grid_convergence_index": 7.79,
    "convergence_status": "PASS"
  },
  "verification_status": "VERIFIED",
  "verification_date": "2026-01-10",
  "verifier": "MetaSpace Validation Team"
}