{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:W4KWCOX7D2OPFC33YDUGE54GID","short_pith_number":"pith:W4KWCOX7","schema_version":"1.0","canonical_sha256":"b715613aff1e9cf28b7bc0e862778640fbce8459c30193e882c40c67e291d49d","source":{"kind":"arxiv","id":"1607.07683","version":1},"attestation_state":"computed","paper":{"title":"Splitting methods for constrained diffusion-reaction systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexander Ostermann, Robert Altmann","submitted_at":"2016-07-26T13:18:40Z","abstract_excerpt":"We consider Lie and Strang splitting for the time integration of constrained partial differential equations with a nonlinear reaction term. Since such systems are known to be sensitive with respect to perturbations, the splitting procedure seems promising as we can treat the nonlinearity separately. This has some computational advantages, since we only have to solve a linear constrained system and a nonlinear ODE. However, Strang splitting suffers from order reduction which limits its efficiency. This is caused by the fact that the nonlinear subsystem produces inconsistent initial values for t"},"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":"1607.07683","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-07-26T13:18:40Z","cross_cats_sorted":[],"title_canon_sha256":"eb5ba4ae781a38aa9a373d5f8721ec416fbdb26eb889a2985f3765ef5ccf0cb4","abstract_canon_sha256":"e82438a9d51a8ec730dc249a4687e0c479ab2c77c7c7ad373df1488079df4e03"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:27.971640Z","signature_b64":"rytSMGF93dTfnV55D7T6OYVF/JcbCt1T2Z2vpyfDVKf9xhbJoEwBvK+0uM1eisO4ItK1jd8OWRHYrZSZbMEGAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b715613aff1e9cf28b7bc0e862778640fbce8459c30193e882c40c67e291d49d","last_reissued_at":"2026-05-18T01:10:27.971151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:27.971151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Splitting methods for constrained diffusion-reaction systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alexander Ostermann, Robert Altmann","submitted_at":"2016-07-26T13:18:40Z","abstract_excerpt":"We consider Lie and Strang splitting for the time integration of constrained partial differential equations with a nonlinear reaction term. Since such systems are known to be sensitive with respect to perturbations, the splitting procedure seems promising as we can treat the nonlinearity separately. This has some computational advantages, since we only have to solve a linear constrained system and a nonlinear ODE. However, Strang splitting suffers from order reduction which limits its efficiency. This is caused by the fact that the nonlinear subsystem produces inconsistent initial values for t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07683","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":""},"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":"1607.07683","created_at":"2026-05-18T01:10:27.971222+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.07683v1","created_at":"2026-05-18T01:10:27.971222+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07683","created_at":"2026-05-18T01:10:27.971222+00:00"},{"alias_kind":"pith_short_12","alias_value":"W4KWCOX7D2OP","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"W4KWCOX7D2OPFC33","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"W4KWCOX7","created_at":"2026-05-18T12:30:48.956258+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/W4KWCOX7D2OPFC33YDUGE54GID","json":"https://pith.science/pith/W4KWCOX7D2OPFC33YDUGE54GID.json","graph_json":"https://pith.science/api/pith-number/W4KWCOX7D2OPFC33YDUGE54GID/graph.json","events_json":"https://pith.science/api/pith-number/W4KWCOX7D2OPFC33YDUGE54GID/events.json","paper":"https://pith.science/paper/W4KWCOX7"},"agent_actions":{"view_html":"https://pith.science/pith/W4KWCOX7D2OPFC33YDUGE54GID","download_json":"https://pith.science/pith/W4KWCOX7D2OPFC33YDUGE54GID.json","view_paper":"https://pith.science/paper/W4KWCOX7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.07683&json=true","fetch_graph":"https://pith.science/api/pith-number/W4KWCOX7D2OPFC33YDUGE54GID/graph.json","fetch_events":"https://pith.science/api/pith-number/W4KWCOX7D2OPFC33YDUGE54GID/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W4KWCOX7D2OPFC33YDUGE54GID/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W4KWCOX7D2OPFC33YDUGE54GID/action/storage_attestation","attest_author":"https://pith.science/pith/W4KWCOX7D2OPFC33YDUGE54GID/action/author_attestation","sign_citation":"https://pith.science/pith/W4KWCOX7D2OPFC33YDUGE54GID/action/citation_signature","submit_replication":"https://pith.science/pith/W4KWCOX7D2OPFC33YDUGE54GID/action/replication_record"}},"created_at":"2026-05-18T01:10:27.971222+00:00","updated_at":"2026-05-18T01:10:27.971222+00:00"}