{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UOTHIBGV3OL47HQN3BID773YTJ","short_pith_number":"pith:UOTHIBGV","schema_version":"1.0","canonical_sha256":"a3a67404d5db97cf9e0dd8503fff789a4e639bf30a0a3e6a4f73963846cf2221","source":{"kind":"arxiv","id":"1608.06524","version":1},"attestation_state":"computed","paper":{"title":"Exponential Fourier collocation methods for solving first-order differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bin Wang, Fanwei Meng, Xinyuan Wu, Yonglei Fang","submitted_at":"2016-08-23T14:44:08Z","abstract_excerpt":"In this paper, a novel class of exponential Fourier collocation methods (EFCMs) is presented for solving systems of first-order ordinary differential equations. These so-called exponential Fourier collocation methods are based on the variation-of-constants formula, incorporating a local Fourier expansion of the underlying problem with collocation methods. We discuss in detail the connections of EFCMs with trigonometric Fourier collocation methods (TFCMs), the well-known Hamiltonian Boundary Value Methods (HBVMs), Gauss methods and Radau IIA methods. It turns out that the novel EFCMs are an ess"},"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":"1608.06524","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-08-23T14:44:08Z","cross_cats_sorted":[],"title_canon_sha256":"4b1962b1080413a5b347c1509b8231706118d13e3318816e5c1834e321783019","abstract_canon_sha256":"3da1565ec272d2fbff43e0a3064abd6cd1f66d6e5d9b3a0e0aa6f146757847d7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:53.026533Z","signature_b64":"3HjDmz88Atu0vJhlp9Ph19IJti/5T13hCJvH9FJOAz+ZROlX3xtXPub6MqXwUsywucduSbWguy4MerIBIKsUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3a67404d5db97cf9e0dd8503fff789a4e639bf30a0a3e6a4f73963846cf2221","last_reissued_at":"2026-05-18T00:22:53.026054Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:53.026054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exponential Fourier collocation methods for solving first-order differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Bin Wang, Fanwei Meng, Xinyuan Wu, Yonglei Fang","submitted_at":"2016-08-23T14:44:08Z","abstract_excerpt":"In this paper, a novel class of exponential Fourier collocation methods (EFCMs) is presented for solving systems of first-order ordinary differential equations. These so-called exponential Fourier collocation methods are based on the variation-of-constants formula, incorporating a local Fourier expansion of the underlying problem with collocation methods. We discuss in detail the connections of EFCMs with trigonometric Fourier collocation methods (TFCMs), the well-known Hamiltonian Boundary Value Methods (HBVMs), Gauss methods and Radau IIA methods. It turns out that the novel EFCMs are an ess"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.06524","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":"1608.06524","created_at":"2026-05-18T00:22:53.026130+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.06524v1","created_at":"2026-05-18T00:22:53.026130+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.06524","created_at":"2026-05-18T00:22:53.026130+00:00"},{"alias_kind":"pith_short_12","alias_value":"UOTHIBGV3OL4","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UOTHIBGV3OL47HQN","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UOTHIBGV","created_at":"2026-05-18T12:30:46.583412+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/UOTHIBGV3OL47HQN3BID773YTJ","json":"https://pith.science/pith/UOTHIBGV3OL47HQN3BID773YTJ.json","graph_json":"https://pith.science/api/pith-number/UOTHIBGV3OL47HQN3BID773YTJ/graph.json","events_json":"https://pith.science/api/pith-number/UOTHIBGV3OL47HQN3BID773YTJ/events.json","paper":"https://pith.science/paper/UOTHIBGV"},"agent_actions":{"view_html":"https://pith.science/pith/UOTHIBGV3OL47HQN3BID773YTJ","download_json":"https://pith.science/pith/UOTHIBGV3OL47HQN3BID773YTJ.json","view_paper":"https://pith.science/paper/UOTHIBGV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.06524&json=true","fetch_graph":"https://pith.science/api/pith-number/UOTHIBGV3OL47HQN3BID773YTJ/graph.json","fetch_events":"https://pith.science/api/pith-number/UOTHIBGV3OL47HQN3BID773YTJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UOTHIBGV3OL47HQN3BID773YTJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UOTHIBGV3OL47HQN3BID773YTJ/action/storage_attestation","attest_author":"https://pith.science/pith/UOTHIBGV3OL47HQN3BID773YTJ/action/author_attestation","sign_citation":"https://pith.science/pith/UOTHIBGV3OL47HQN3BID773YTJ/action/citation_signature","submit_replication":"https://pith.science/pith/UOTHIBGV3OL47HQN3BID773YTJ/action/replication_record"}},"created_at":"2026-05-18T00:22:53.026130+00:00","updated_at":"2026-05-18T00:22:53.026130+00:00"}