Underwater Acoustics — Parabolic Equation (RAM) L1-264

AcousticsPade-expansion split-step PEδ=5 · challengingL_DAG = 3.3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

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Forward model E

dp/dr = i\cdot k_0 \cdot (\sqrt{1 + X) - 1) \cdot p, X = (1/k_0^2)(d^2/dz^2 + k^2(z,r) - k_0^2)

Underwater Acoustics — Parabolic Equation (RAM) forward model.

L-DAG

L.split_step_pe -> L.marching.range -> L.absorb_bottom -> int.range

L.split_step_peL.marching.rangeL.absorb_bottomint.range

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 440

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: RAM-standard, WA-PE, RAM-NN
Convergence rate q:: 1.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.