{
  "equation": "u_t + 6 u u_x + u_xxx = 0",
  "kappa": 1.0,
  "initial_center": -2.0,
  "final_time": 1.0,
  "temporal": {"length": 48.0, "points": 512, "steps": [160, 320, 640, 1280]},
  "spatial": {"length": 48.0, "points": [64, 96, 128, 192, 256, 384], "steps": 3200},
  "domain": {"lengths": [16.0, 24.0, 32.0, 48.0], "spacing": 0.125, "steps": 3200},
  "reference": {"length": 48.0, "points": 512, "steps": 3200},
  "sample_positions": [-6.0, -2.0, 0.0, 2.0, 4.0, 6.0],
  "saved_comparison": {"absolute_tolerance": 2e-11, "relative_tolerance": 0.00002}
}