Pith Number

pith:ZM7Y2R4G

pith:2026:ZM7Y2R4GZ5TLONOPVK2P6NH25A

not attested not anchored not stored refs resolved

GPU Performance of an Entropy-Stable Discontinuous Galerkin Euler Solver with Non-Conservative Terms

Francis X. Giraldo, Henry Waterhouse, Lucas C. Wilcox, Maciej Waruszewski

Entropy-stable discontinuous Galerkin solver for Euler equations with buoyancy reaches nearly 70% of GPU peak performance.

arxiv:2605.16684 v1 · 2026-05-15 · math.NA · cs.NA

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\usepackage{pith}
\pithnumber{ZM7Y2R4GZ5TLONOPVK2P6NH25A}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

On NVIDIA A100 hardware, the solver achieves nearly 70% of 64-bit floating-point peak performance for the most computationally expensive kernel (volume terms) ... factor of 10× faster and better than 13× more energy efficient than the CPU code ... extend symmetry-based flux savings to the non-symmetric gravity term, preserving nearly the full factor-of-two speedup.

C2weakest assumption

The sequence of GPU-specific modifications (reduced complex operations, lower memory traffic, load balancing) preserves both the formal entropy stability and the numerical accuracy of the original discontinuous Galerkin scheme when non-conservative buoyancy terms are present.

C3one line summary

GPU port of entropy-stable DG Euler solver with non-conservative buoyancy terms reaches nearly 70% of 64-bit peak on A100 volume kernels, delivers 10x speedup and 13x better energy efficiency versus CPU, and preserves symmetry-based flux savings.

References

297 extracted · 297 resolved · 2 Pith anchors

[1] Betts, John T. , year =. Practical. doi:10.1137/1.9781611976199 , publisher = · doi:10.1137/1.9781611976199

[2] SIAM Review , year = 2017 · doi:10.1137/16m1062569

[3] Kirk, D.E. , year =. Optimal

[4] Calculus of variations and optimal control theory: a concise introduction , isbn =

[5] Hollis, M. , year =. The

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:02:36.495353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb3f8d4786cf66b735cfaab4ff34fae838d333da9fec14084edf71e5c7162510

Aliases

arxiv: 2605.16684 · arxiv_version: 2605.16684v1 · doi: 10.48550/arxiv.2605.16684 · pith_short_12: ZM7Y2R4GZ5TL · pith_short_16: ZM7Y2R4GZ5TLONOP · pith_short_8: ZM7Y2R4G

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/ZM7Y2R4GZ5TLONOPVK2P6NH25A \
  | 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: cb3f8d4786cf66b735cfaab4ff34fae838d333da9fec14084edf71e5c7162510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d503b622f018c7bd95a17f87a9b11b54b2dd76a3ae2b7861d9dac6ed5223c06f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-15T22:43:11Z",
    "title_canon_sha256": "b02b280437c29e492104c4feb201fd668c9c8b16a0f2230e8fe2ece8f178edad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16684",
    "kind": "arxiv",
    "version": 1
  }
}