{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:N2PKXEPJSOV3RFZNKNKUWD7Q4A","short_pith_number":"pith:N2PKXEPJ","schema_version":"1.0","canonical_sha256":"6e9eab91e993abb8972d53554b0ff0e00946c7856f0ff5d3e3eb997dbcb85c9e","source":{"kind":"arxiv","id":"1412.4372","version":1},"attestation_state":"computed","paper":{"title":"An adaptive selective frequency damping method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"physics.flu-dyn","authors_text":"Bastien E. Jordi, Colin J. Cotter, Spencer J. Sherwin","submitted_at":"2014-12-14T15:57:49Z","abstract_excerpt":"The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary control parameters; and when it does converge, the time necessary to reach the steady-state solution may be very long. In this paper we present an adaptive algorithm to address these two issues. We show that by evaluating the dominant eigenvalue of a \"partially converged\" steady flow, we can select a control coefficient and a filter width that ensure an optimum"},"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":"1412.4372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-12-14T15:57:49Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"7f65cc780aaf4349e135e0a82c110776a7c940a3f20134763cb1a01d801675a1","abstract_canon_sha256":"e15736c2632e776e7e0ff6a7a731d52071ca0c15668f543d86111cf109f8d727"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:29:04.290551Z","signature_b64":"jpLBByTxPG063OeRZXGTZ4eQUxKZH5uUpX6mZre45v/xX8Wo5ERvRdMlnyE7h+iaBj9wVTa+YsDwskeBgI0QDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e9eab91e993abb8972d53554b0ff0e00946c7856f0ff5d3e3eb997dbcb85c9e","last_reissued_at":"2026-05-18T01:29:04.289984Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:29:04.289984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An adaptive selective frequency damping method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"physics.flu-dyn","authors_text":"Bastien E. Jordi, Colin J. Cotter, Spencer J. Sherwin","submitted_at":"2014-12-14T15:57:49Z","abstract_excerpt":"The selective frequency damping (SFD) method is an alternative to classical Newton's method to obtain unstable steady-state solutions of dynamical systems. However this method has two main limitations: it does not converge for arbitrary control parameters; and when it does converge, the time necessary to reach the steady-state solution may be very long. In this paper we present an adaptive algorithm to address these two issues. We show that by evaluating the dominant eigenvalue of a \"partially converged\" steady flow, we can select a control coefficient and a filter width that ensure an optimum"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4372","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":"1412.4372","created_at":"2026-05-18T01:29:04.290088+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.4372v1","created_at":"2026-05-18T01:29:04.290088+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4372","created_at":"2026-05-18T01:29:04.290088+00:00"},{"alias_kind":"pith_short_12","alias_value":"N2PKXEPJSOV3","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"N2PKXEPJSOV3RFZN","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"N2PKXEPJ","created_at":"2026-05-18T12:28:41.024544+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/N2PKXEPJSOV3RFZNKNKUWD7Q4A","json":"https://pith.science/pith/N2PKXEPJSOV3RFZNKNKUWD7Q4A.json","graph_json":"https://pith.science/api/pith-number/N2PKXEPJSOV3RFZNKNKUWD7Q4A/graph.json","events_json":"https://pith.science/api/pith-number/N2PKXEPJSOV3RFZNKNKUWD7Q4A/events.json","paper":"https://pith.science/paper/N2PKXEPJ"},"agent_actions":{"view_html":"https://pith.science/pith/N2PKXEPJSOV3RFZNKNKUWD7Q4A","download_json":"https://pith.science/pith/N2PKXEPJSOV3RFZNKNKUWD7Q4A.json","view_paper":"https://pith.science/paper/N2PKXEPJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.4372&json=true","fetch_graph":"https://pith.science/api/pith-number/N2PKXEPJSOV3RFZNKNKUWD7Q4A/graph.json","fetch_events":"https://pith.science/api/pith-number/N2PKXEPJSOV3RFZNKNKUWD7Q4A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N2PKXEPJSOV3RFZNKNKUWD7Q4A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N2PKXEPJSOV3RFZNKNKUWD7Q4A/action/storage_attestation","attest_author":"https://pith.science/pith/N2PKXEPJSOV3RFZNKNKUWD7Q4A/action/author_attestation","sign_citation":"https://pith.science/pith/N2PKXEPJSOV3RFZNKNKUWD7Q4A/action/citation_signature","submit_replication":"https://pith.science/pith/N2PKXEPJSOV3RFZNKNKUWD7Q4A/action/replication_record"}},"created_at":"2026-05-18T01:29:04.290088+00:00","updated_at":"2026-05-18T01:29:04.290088+00:00"}