{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:LLSXSJVZ3OGFK6VYM7PKCM6KHX","short_pith_number":"pith:LLSXSJVZ","schema_version":"1.0","canonical_sha256":"5ae57926b9db8c557ab867dea133ca3ddbc9888bb4e1295765847f25833192e3","source":{"kind":"arxiv","id":"2409.14004","version":1},"attestation_state":"computed","paper":{"title":"Superconvergence of the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional linear time-dependent fourth-order equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Boying Wu, Linhui Li, Xiong Meng","submitted_at":"2024-09-21T03:45:03Z","abstract_excerpt":"In this paper, we concentrate on the superconvergence of the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional linear time-dependent fourth-order equations. The adjustable numerical viscosity of the generalized numerical fluxes is beneficial for long time simulations with a slower error growth. By using generalized Gauss--Radau projections and correction functions together with a suitable numerical initial condition, we derive, for polynomials of degree $k$, $(2k+1)$th order superconvergence for the numerical flux and cell averages, $(k+2)$th order super"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2409.14004","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-09-21T03:45:03Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"d0e48510bd65235172c5781238f89a1df2056f9463b00b009653125c6589bb90","abstract_canon_sha256":"be9ad624ce1a47d50a7f533a71d9d9383daa51f7ee5b73f856580d6e45f33825"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:10:10.302239Z","signature_b64":"wzNnD4a71lDyrVsqC1NsuvsY/mFMARPAhNIF5BKbHgxYWLwhwhEJvXdtMVk1XQqzY9eVpjdhr2KpRDq85cplAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ae57926b9db8c557ab867dea133ca3ddbc9888bb4e1295765847f25833192e3","last_reissued_at":"2026-07-05T09:10:10.301777Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:10:10.301777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superconvergence of the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional linear time-dependent fourth-order equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Boying Wu, Linhui Li, Xiong Meng","submitted_at":"2024-09-21T03:45:03Z","abstract_excerpt":"In this paper, we concentrate on the superconvergence of the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional linear time-dependent fourth-order equations. The adjustable numerical viscosity of the generalized numerical fluxes is beneficial for long time simulations with a slower error growth. By using generalized Gauss--Radau projections and correction functions together with a suitable numerical initial condition, we derive, for polynomials of degree $k$, $(2k+1)$th order superconvergence for the numerical flux and cell averages, $(k+2)$th order super"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.14004","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.14004/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2409.14004","created_at":"2026-07-05T09:10:10.301837+00:00"},{"alias_kind":"arxiv_version","alias_value":"2409.14004v1","created_at":"2026-07-05T09:10:10.301837+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.14004","created_at":"2026-07-05T09:10:10.301837+00:00"},{"alias_kind":"pith_short_12","alias_value":"LLSXSJVZ3OGF","created_at":"2026-07-05T09:10:10.301837+00:00"},{"alias_kind":"pith_short_16","alias_value":"LLSXSJVZ3OGFK6VY","created_at":"2026-07-05T09:10:10.301837+00:00"},{"alias_kind":"pith_short_8","alias_value":"LLSXSJVZ","created_at":"2026-07-05T09:10:10.301837+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LLSXSJVZ3OGFK6VYM7PKCM6KHX","json":"https://pith.science/pith/LLSXSJVZ3OGFK6VYM7PKCM6KHX.json","graph_json":"https://pith.science/api/pith-number/LLSXSJVZ3OGFK6VYM7PKCM6KHX/graph.json","events_json":"https://pith.science/api/pith-number/LLSXSJVZ3OGFK6VYM7PKCM6KHX/events.json","paper":"https://pith.science/paper/LLSXSJVZ"},"agent_actions":{"view_html":"https://pith.science/pith/LLSXSJVZ3OGFK6VYM7PKCM6KHX","download_json":"https://pith.science/pith/LLSXSJVZ3OGFK6VYM7PKCM6KHX.json","view_paper":"https://pith.science/paper/LLSXSJVZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2409.14004&json=true","fetch_graph":"https://pith.science/api/pith-number/LLSXSJVZ3OGFK6VYM7PKCM6KHX/graph.json","fetch_events":"https://pith.science/api/pith-number/LLSXSJVZ3OGFK6VYM7PKCM6KHX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LLSXSJVZ3OGFK6VYM7PKCM6KHX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LLSXSJVZ3OGFK6VYM7PKCM6KHX/action/storage_attestation","attest_author":"https://pith.science/pith/LLSXSJVZ3OGFK6VYM7PKCM6KHX/action/author_attestation","sign_citation":"https://pith.science/pith/LLSXSJVZ3OGFK6VYM7PKCM6KHX/action/citation_signature","submit_replication":"https://pith.science/pith/LLSXSJVZ3OGFK6VYM7PKCM6KHX/action/replication_record"}},"created_at":"2026-07-05T09:10:10.301837+00:00","updated_at":"2026-07-05T09:10:10.301837+00:00"}