{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:RFLMDCCG5N2WN5PRJU2LDSONCT","short_pith_number":"pith:RFLMDCCG","schema_version":"1.0","canonical_sha256":"8956c18846eb7566f5f14d34b1c9cd14d09d3e85f2499fa3bcec710a3e94f88d","source":{"kind":"arxiv","id":"0802.0579","version":1},"attestation_state":"computed","paper":{"title":"Von Neumann Stability Analysis of Finite Difference Schemes for Maxwell--Debye and Maxwell--Lorentz Equations","license":"","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Brigitte Bid\\'egaray-Fesquet (LJK)","submitted_at":"2008-02-05T10:11:49Z","abstract_excerpt":"This technical report yields detailed calculations of the paper [1] (B. Bid\\'egaray-Fesquet, \"Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations\", Technical report, LMC-IMAG, 2005) which have been however automated since (see http://ljk.imag.fr/membres/Brigitte.Bidegaray/NAUtil/). It deals with the stability analysis of various finite difference schemes for Maxwell--Debye and Maxwell--Lorentz equations. This work gives a systematic and rigorous continuation to Petropoulos previous work [5] (P.G. Petropoulos.,\"Stability and phase error analysis of FD-TD in dispersive die"},"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":"0802.0579","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NA","submitted_at":"2008-02-05T10:11:49Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"c2b56ad0b811a3e09beeee286c868a8feb177a5fe0aa78914d71e60e4810f1ce","abstract_canon_sha256":"c76cb8c6059425b857cc92cc5c52a22c2e298d537a477ef9e8ffb6c9e2fa387b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T22:06:04.339762Z","signature_b64":"QD0Ysp+/+LVJR96LU+F8QNG/0G34QdWlbRC9B0QqQy0lK49aCcWKPXQ40te1XtFgntJrOOTde5EmAdkIGrTCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8956c18846eb7566f5f14d34b1c9cd14d09d3e85f2499fa3bcec710a3e94f88d","last_reissued_at":"2026-06-03T22:06:04.339365Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T22:06:04.339365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Von Neumann Stability Analysis of Finite Difference Schemes for Maxwell--Debye and Maxwell--Lorentz Equations","license":"","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Brigitte Bid\\'egaray-Fesquet (LJK)","submitted_at":"2008-02-05T10:11:49Z","abstract_excerpt":"This technical report yields detailed calculations of the paper [1] (B. Bid\\'egaray-Fesquet, \"Stability of FD-TD schemes for Maxwell-Debye and Maxwell-Lorentz equations\", Technical report, LMC-IMAG, 2005) which have been however automated since (see http://ljk.imag.fr/membres/Brigitte.Bidegaray/NAUtil/). It deals with the stability analysis of various finite difference schemes for Maxwell--Debye and Maxwell--Lorentz equations. This work gives a systematic and rigorous continuation to Petropoulos previous work [5] (P.G. Petropoulos.,\"Stability and phase error analysis of FD-TD in dispersive die"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.0579","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/0802.0579/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":"0802.0579","created_at":"2026-06-03T22:06:04.339414+00:00"},{"alias_kind":"arxiv_version","alias_value":"0802.0579v1","created_at":"2026-06-03T22:06:04.339414+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.0579","created_at":"2026-06-03T22:06:04.339414+00:00"},{"alias_kind":"pith_short_12","alias_value":"RFLMDCCG5N2W","created_at":"2026-06-03T22:06:04.339414+00:00"},{"alias_kind":"pith_short_16","alias_value":"RFLMDCCG5N2WN5PR","created_at":"2026-06-03T22:06:04.339414+00:00"},{"alias_kind":"pith_short_8","alias_value":"RFLMDCCG","created_at":"2026-06-03T22:06:04.339414+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/RFLMDCCG5N2WN5PRJU2LDSONCT","json":"https://pith.science/pith/RFLMDCCG5N2WN5PRJU2LDSONCT.json","graph_json":"https://pith.science/api/pith-number/RFLMDCCG5N2WN5PRJU2LDSONCT/graph.json","events_json":"https://pith.science/api/pith-number/RFLMDCCG5N2WN5PRJU2LDSONCT/events.json","paper":"https://pith.science/paper/RFLMDCCG"},"agent_actions":{"view_html":"https://pith.science/pith/RFLMDCCG5N2WN5PRJU2LDSONCT","download_json":"https://pith.science/pith/RFLMDCCG5N2WN5PRJU2LDSONCT.json","view_paper":"https://pith.science/paper/RFLMDCCG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0802.0579&json=true","fetch_graph":"https://pith.science/api/pith-number/RFLMDCCG5N2WN5PRJU2LDSONCT/graph.json","fetch_events":"https://pith.science/api/pith-number/RFLMDCCG5N2WN5PRJU2LDSONCT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RFLMDCCG5N2WN5PRJU2LDSONCT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RFLMDCCG5N2WN5PRJU2LDSONCT/action/storage_attestation","attest_author":"https://pith.science/pith/RFLMDCCG5N2WN5PRJU2LDSONCT/action/author_attestation","sign_citation":"https://pith.science/pith/RFLMDCCG5N2WN5PRJU2LDSONCT/action/citation_signature","submit_replication":"https://pith.science/pith/RFLMDCCG5N2WN5PRJU2LDSONCT/action/replication_record"}},"created_at":"2026-06-03T22:06:04.339414+00:00","updated_at":"2026-06-03T22:06:04.339414+00:00"}