{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:WPTB554LAXF6GGBCBTLY3QFON4","short_pith_number":"pith:WPTB554L","schema_version":"1.0","canonical_sha256":"b3e61ef78b05cbe318220cd78dc0ae6f22a30e8d8c330e6f3f1523a30c215a42","source":{"kind":"arxiv","id":"1908.01027","version":1},"attestation_state":"computed","paper":{"title":"Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Juntao Huang, Weifeng Zhao","submitted_at":"2019-08-02T19:38:17Z","abstract_excerpt":"In this paper, we develop a high order finite difference boundary treatment method for the implicit-explicit (IMEX) Runge-Kutta (RK) schemes solving hyperbolic systems with possibly stiff source terms on a Cartesian mesh. The main challenge is how to obtain the solutions at ghost points resulting from the wide stencil of the interior high order scheme. We address this problem by combining the idea of using the RK schemes at the boundary and an inverse Lax-Wendroff procedure. The former preserves the accuracy of the RK schemes and the latter guarantees the stability. Our method is different fro"},"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":"1908.01027","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2019-08-02T19:38:17Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"75b5226bff6f904a5e45bff675696e52764ebb73e7e0c81775be38791b5979b9","abstract_canon_sha256":"46f862ac8e490ff48c63814680b0297685f47be9e5c5419d7c6c594da581b22a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:46:42.400720Z","signature_b64":"B3T7LRmo43HaQdMBcFVuLfYZkIFS9J+N+5x4ngG8TXwMFpCCebSGzzQam4PkrzPm8biq0UUnBtoqed97fn05Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3e61ef78b05cbe318220cd78dc0ae6f22a30e8d8c330e6f3f1523a30c215a42","last_reissued_at":"2026-07-05T01:46:42.400255Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:46:42.400255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundary treatment of implicit-explicit Runge-Kutta method for hyperbolic systems with source terms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Juntao Huang, Weifeng Zhao","submitted_at":"2019-08-02T19:38:17Z","abstract_excerpt":"In this paper, we develop a high order finite difference boundary treatment method for the implicit-explicit (IMEX) Runge-Kutta (RK) schemes solving hyperbolic systems with possibly stiff source terms on a Cartesian mesh. The main challenge is how to obtain the solutions at ghost points resulting from the wide stencil of the interior high order scheme. We address this problem by combining the idea of using the RK schemes at the boundary and an inverse Lax-Wendroff procedure. The former preserves the accuracy of the RK schemes and the latter guarantees the stability. Our method is different fro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.01027","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/1908.01027/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":"1908.01027","created_at":"2026-07-05T01:46:42.400320+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.01027v1","created_at":"2026-07-05T01:46:42.400320+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.01027","created_at":"2026-07-05T01:46:42.400320+00:00"},{"alias_kind":"pith_short_12","alias_value":"WPTB554LAXF6","created_at":"2026-07-05T01:46:42.400320+00:00"},{"alias_kind":"pith_short_16","alias_value":"WPTB554LAXF6GGBC","created_at":"2026-07-05T01:46:42.400320+00:00"},{"alias_kind":"pith_short_8","alias_value":"WPTB554L","created_at":"2026-07-05T01:46:42.400320+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/WPTB554LAXF6GGBCBTLY3QFON4","json":"https://pith.science/pith/WPTB554LAXF6GGBCBTLY3QFON4.json","graph_json":"https://pith.science/api/pith-number/WPTB554LAXF6GGBCBTLY3QFON4/graph.json","events_json":"https://pith.science/api/pith-number/WPTB554LAXF6GGBCBTLY3QFON4/events.json","paper":"https://pith.science/paper/WPTB554L"},"agent_actions":{"view_html":"https://pith.science/pith/WPTB554LAXF6GGBCBTLY3QFON4","download_json":"https://pith.science/pith/WPTB554LAXF6GGBCBTLY3QFON4.json","view_paper":"https://pith.science/paper/WPTB554L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.01027&json=true","fetch_graph":"https://pith.science/api/pith-number/WPTB554LAXF6GGBCBTLY3QFON4/graph.json","fetch_events":"https://pith.science/api/pith-number/WPTB554LAXF6GGBCBTLY3QFON4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WPTB554LAXF6GGBCBTLY3QFON4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WPTB554LAXF6GGBCBTLY3QFON4/action/storage_attestation","attest_author":"https://pith.science/pith/WPTB554LAXF6GGBCBTLY3QFON4/action/author_attestation","sign_citation":"https://pith.science/pith/WPTB554LAXF6GGBCBTLY3QFON4/action/citation_signature","submit_replication":"https://pith.science/pith/WPTB554LAXF6GGBCBTLY3QFON4/action/replication_record"}},"created_at":"2026-07-05T01:46:42.400320+00:00","updated_at":"2026-07-05T01:46:42.400320+00:00"}