Pith Number

pith:WKF4M6KL

pith:2026:WKF4M6KLXB4D6XMH4PW5JWIYXV

not attested not anchored not stored refs pending

A Stable SBP-SAT FDTD Subgridding Method Without Region Split

Hanhong Liu, Jian Wang, Langran Deng, Shunchuan Yang, Weibo Wu, Wei-Jie Wang, Xingqi Zhang, Xinyue Zhang, Yuhui Wang, Zhizhang Chen

Projection SBP operators enable stable FDTD subgridding with direct coarse-fine coupling and no domain split.

arxiv:2604.14618 v2 · 2026-04-16 · cs.CE

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\usepackage{pith}
\pithnumber{WKF4M6KLXB4D6XMH4PW5JWIYXV}

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Record completeness

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4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

By designing projection SBP operators tailored for embedded topological features and deriving the corresponding SAT boundary conditions, this approach guarantees long-time stability through discrete energy analysis.

C2weakest assumption

That projection SBP operators can be constructed for arbitrary embedded topological features while preserving the summation-by-parts property and enabling stable SAT coupling without additional assumptions on grid alignment or topology.

C3one line summary

A provably stable SBP-SAT FDTD subgridding method is proposed that enables direct coupling of an embedded refined region to a single surrounding coarse-grid domain without region splitting or auxiliary blocks.

Receipt and verification

First computed	2026-06-09T01:05:46.928381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28bc6794bb8783f5d87e3edd4d918bd6c8821717c636500c25f8682139dc3b9

Aliases

arxiv: 2604.14618 · arxiv_version: 2604.14618v2 · doi: 10.48550/arxiv.2604.14618 · pith_short_12: WKF4M6KLXB4D · pith_short_16: WKF4M6KLXB4D6XMH · pith_short_8: WKF4M6KL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WKF4M6KLXB4D6XMH4PW5JWIYXV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b28bc6794bb8783f5d87e3edd4d918bd6c8821717c636500c25f8682139dc3b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0557bbbe484bac39b61b871fa8401cd580478e3c5b42fbb8fbfb9136cef12d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-04-16T04:57:27Z",
    "title_canon_sha256": "9aed748edb35654e5e45b933bc46e478341cc8928bb707bb0791ac2c022778de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.14618",
    "kind": "arxiv",
    "version": 2
  }
}