{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:4WGNCG4GDI6XWTVDWOBKV5BX3D","short_pith_number":"pith:4WGNCG4G","schema_version":"1.0","canonical_sha256":"e58cd11b861a3d7b4ea3b382aaf437d8f247d20c9aa10a3c7792adc9815f6d83","source":{"kind":"arxiv","id":"1606.06541","version":2},"attestation_state":"computed","paper":{"title":"An adaptive moving mesh finite element solution of the Regularized Long Wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Changna Lu, Jianxian Qiu, Weizhang Huang","submitted_at":"2016-06-21T12:38:04Z","abstract_excerpt":"An adaptive moving mesh finite element method is proposed for the numerical solution of the regularized long wave (RLW) equation. A moving mesh strategy based on the so-called moving mesh PDE is used to adaptively move the mesh to improve computational accuracy and efficiency. The RLW equation represents a class of partial differential equations containing spatial-time mixed derivatives. For the numerical solution of those equations, a $C^0$ finite element method cannot apply directly on a moving mesh since the mixed derivatives of the finite element approximation may not be defined. To avoid "},"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":"1606.06541","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-06-21T12:38:04Z","cross_cats_sorted":[],"title_canon_sha256":"5ee0167888948b764921d07b80e7c04884b40399cf89420e5d5413d35e4204ec","abstract_canon_sha256":"7ca68ed5b8fb46d3e953ceddb188884d2b0e4adf73e878911d65be1e0dfda320"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:37.786335Z","signature_b64":"EqcLVymIaw8uvDqH/BYSj22CUczAb9JewxFtrMQcpzkrF3GjWMxoMqUxmPZ3qWJv7s9iGXOb4wxGspLuzL7BAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e58cd11b861a3d7b4ea3b382aaf437d8f247d20c9aa10a3c7792adc9815f6d83","last_reissued_at":"2026-05-18T00:26:37.785453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:37.785453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An adaptive moving mesh finite element solution of the Regularized Long Wave equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Changna Lu, Jianxian Qiu, Weizhang Huang","submitted_at":"2016-06-21T12:38:04Z","abstract_excerpt":"An adaptive moving mesh finite element method is proposed for the numerical solution of the regularized long wave (RLW) equation. A moving mesh strategy based on the so-called moving mesh PDE is used to adaptively move the mesh to improve computational accuracy and efficiency. The RLW equation represents a class of partial differential equations containing spatial-time mixed derivatives. For the numerical solution of those equations, a $C^0$ finite element method cannot apply directly on a moving mesh since the mixed derivatives of the finite element approximation may not be defined. To avoid "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.06541","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1606.06541","created_at":"2026-05-18T00:26:37.785597+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.06541v2","created_at":"2026-05-18T00:26:37.785597+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.06541","created_at":"2026-05-18T00:26:37.785597+00:00"},{"alias_kind":"pith_short_12","alias_value":"4WGNCG4GDI6X","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"4WGNCG4GDI6XWTVD","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"4WGNCG4G","created_at":"2026-05-18T12:29:58.707656+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/4WGNCG4GDI6XWTVDWOBKV5BX3D","json":"https://pith.science/pith/4WGNCG4GDI6XWTVDWOBKV5BX3D.json","graph_json":"https://pith.science/api/pith-number/4WGNCG4GDI6XWTVDWOBKV5BX3D/graph.json","events_json":"https://pith.science/api/pith-number/4WGNCG4GDI6XWTVDWOBKV5BX3D/events.json","paper":"https://pith.science/paper/4WGNCG4G"},"agent_actions":{"view_html":"https://pith.science/pith/4WGNCG4GDI6XWTVDWOBKV5BX3D","download_json":"https://pith.science/pith/4WGNCG4GDI6XWTVDWOBKV5BX3D.json","view_paper":"https://pith.science/paper/4WGNCG4G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.06541&json=true","fetch_graph":"https://pith.science/api/pith-number/4WGNCG4GDI6XWTVDWOBKV5BX3D/graph.json","fetch_events":"https://pith.science/api/pith-number/4WGNCG4GDI6XWTVDWOBKV5BX3D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4WGNCG4GDI6XWTVDWOBKV5BX3D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4WGNCG4GDI6XWTVDWOBKV5BX3D/action/storage_attestation","attest_author":"https://pith.science/pith/4WGNCG4GDI6XWTVDWOBKV5BX3D/action/author_attestation","sign_citation":"https://pith.science/pith/4WGNCG4GDI6XWTVDWOBKV5BX3D/action/citation_signature","submit_replication":"https://pith.science/pith/4WGNCG4GDI6XWTVDWOBKV5BX3D/action/replication_record"}},"created_at":"2026-05-18T00:26:37.785597+00:00","updated_at":"2026-05-18T00:26:37.785597+00:00"}