{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:MDNW5YO4KEBSW3QY2B73HSAVIP","short_pith_number":"pith:MDNW5YO4","schema_version":"1.0","canonical_sha256":"60db6ee1dc51032b6e18d07fb3c81543e5ea45d4d1cf0900fffbfa64b45bfa2e","source":{"kind":"arxiv","id":"1006.2601","version":1},"attestation_state":"computed","paper":{"title":"Optimized Schwarz waveform relaxation and discontinuous Galerkin time stepping for heterogeneous problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Caroline Japhet (LAGA), J\\'er\\'emie Szeftel (DMA), Laurence Halpern (LAGA)","submitted_at":"2010-06-14T06:45:44Z","abstract_excerpt":"We design and analyze a Schwarz waveform relaxation algorithm for domain decomposition of advection-diffusion-reaction problems with strong heterogeneities. The interfaces are curved, and we use optimized Robin or Ventcell transmission conditions. We analyze the semi-discretization in time with Discontinuous Galerkin as well. We also show two-dimensional numerical results using generalized mortar finite elements in space."},"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":"1006.2601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-06-14T06:45:44Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"d88f2609bf7f82b1b9bf260243a06c68a1f04c25c8ffa347030e812a41bf589f","abstract_canon_sha256":"ff0291d5a7b2968cddcea9c2a08687a3b38dbaaf02120a03319e4032286b0165"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T23:06:38.484279Z","signature_b64":"vLBsK+Suns8Cni9WlC9WwixwnYyTccVbA79M74Sa7HarP3x8/WMWNps4ighCTchndmK0w09JzN20qX3P/evoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60db6ee1dc51032b6e18d07fb3c81543e5ea45d4d1cf0900fffbfa64b45bfa2e","last_reissued_at":"2026-06-03T23:06:38.483704Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T23:06:38.483704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimized Schwarz waveform relaxation and discontinuous Galerkin time stepping for heterogeneous problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Caroline Japhet (LAGA), J\\'er\\'emie Szeftel (DMA), Laurence Halpern (LAGA)","submitted_at":"2010-06-14T06:45:44Z","abstract_excerpt":"We design and analyze a Schwarz waveform relaxation algorithm for domain decomposition of advection-diffusion-reaction problems with strong heterogeneities. The interfaces are curved, and we use optimized Robin or Ventcell transmission conditions. We analyze the semi-discretization in time with Discontinuous Galerkin as well. We also show two-dimensional numerical results using generalized mortar finite elements in space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.2601","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/1006.2601/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":"1006.2601","created_at":"2026-06-03T23:06:38.483777+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.2601v1","created_at":"2026-06-03T23:06:38.483777+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.2601","created_at":"2026-06-03T23:06:38.483777+00:00"},{"alias_kind":"pith_short_12","alias_value":"MDNW5YO4KEBS","created_at":"2026-06-03T23:06:38.483777+00:00"},{"alias_kind":"pith_short_16","alias_value":"MDNW5YO4KEBSW3QY","created_at":"2026-06-03T23:06:38.483777+00:00"},{"alias_kind":"pith_short_8","alias_value":"MDNW5YO4","created_at":"2026-06-03T23:06:38.483777+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/MDNW5YO4KEBSW3QY2B73HSAVIP","json":"https://pith.science/pith/MDNW5YO4KEBSW3QY2B73HSAVIP.json","graph_json":"https://pith.science/api/pith-number/MDNW5YO4KEBSW3QY2B73HSAVIP/graph.json","events_json":"https://pith.science/api/pith-number/MDNW5YO4KEBSW3QY2B73HSAVIP/events.json","paper":"https://pith.science/paper/MDNW5YO4"},"agent_actions":{"view_html":"https://pith.science/pith/MDNW5YO4KEBSW3QY2B73HSAVIP","download_json":"https://pith.science/pith/MDNW5YO4KEBSW3QY2B73HSAVIP.json","view_paper":"https://pith.science/paper/MDNW5YO4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.2601&json=true","fetch_graph":"https://pith.science/api/pith-number/MDNW5YO4KEBSW3QY2B73HSAVIP/graph.json","fetch_events":"https://pith.science/api/pith-number/MDNW5YO4KEBSW3QY2B73HSAVIP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MDNW5YO4KEBSW3QY2B73HSAVIP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MDNW5YO4KEBSW3QY2B73HSAVIP/action/storage_attestation","attest_author":"https://pith.science/pith/MDNW5YO4KEBSW3QY2B73HSAVIP/action/author_attestation","sign_citation":"https://pith.science/pith/MDNW5YO4KEBSW3QY2B73HSAVIP/action/citation_signature","submit_replication":"https://pith.science/pith/MDNW5YO4KEBSW3QY2B73HSAVIP/action/replication_record"}},"created_at":"2026-06-03T23:06:38.483777+00:00","updated_at":"2026-06-03T23:06:38.483777+00:00"}