{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6UWGZVPU5LLXMCUNVNCDW36ZNJ","short_pith_number":"pith:6UWGZVPU","schema_version":"1.0","canonical_sha256":"f52c6cd5f4ead7760a8dab443b6fd96a5095b96893b64782f379f97ee066ff8f","source":{"kind":"arxiv","id":"1810.01723","version":1},"attestation_state":"computed","paper":{"title":"Dispersion Analysis of Finite Difference and Discontinuous Galerkin Schemes for Maxwell's Equations in Linear Lorentz Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Fengyan Li, Puttha Sakkaplangkul, Vrushali A. Bokil, Yan Jiang, Yingda Cheng","submitted_at":"2018-10-03T13:19:29Z","abstract_excerpt":"In this paper, we consider Maxwell's equations in linear dispersive media described by a single-pole Lorentz model for electronic polarization. We study two classes of commonly used spatial discretizations: finite difference methods (FD) with arbitrary even order accuracy in space and high spatial order discontinuous Galerkin (DG) finite element methods. Both types of spatial discretizations are coupled with second order semi-implicit leap-frog and implicit trapezoidal temporal schemes studied in our previous research [5,6]. By performing detailed dispersion analysis for the semi-discrete and "},"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":"1810.01723","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-10-03T13:19:29Z","cross_cats_sorted":[],"title_canon_sha256":"6def501da0181d820c39b55c1b8377de72084214d837b240034dec55811c20d2","abstract_canon_sha256":"5bdaec9fb7e2287d156a0c1d403d702a4b308155519e2b21d12c9871e1df5f3c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:29.345009Z","signature_b64":"y4sHuh0OPRhtbPVIfuxtwcp68UiIQkvaZTZke7w+TYXEg03BlQYxLOoX/UHvN7Mouwe0H51BXy8L+Za42p0EDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f52c6cd5f4ead7760a8dab443b6fd96a5095b96893b64782f379f97ee066ff8f","last_reissued_at":"2026-05-17T23:42:29.344420Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:29.344420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dispersion Analysis of Finite Difference and Discontinuous Galerkin Schemes for Maxwell's Equations in Linear Lorentz Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Fengyan Li, Puttha Sakkaplangkul, Vrushali A. Bokil, Yan Jiang, Yingda Cheng","submitted_at":"2018-10-03T13:19:29Z","abstract_excerpt":"In this paper, we consider Maxwell's equations in linear dispersive media described by a single-pole Lorentz model for electronic polarization. We study two classes of commonly used spatial discretizations: finite difference methods (FD) with arbitrary even order accuracy in space and high spatial order discontinuous Galerkin (DG) finite element methods. Both types of spatial discretizations are coupled with second order semi-implicit leap-frog and implicit trapezoidal temporal schemes studied in our previous research [5,6]. By performing detailed dispersion analysis for the semi-discrete and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.01723","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":"1810.01723","created_at":"2026-05-17T23:42:29.344536+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.01723v1","created_at":"2026-05-17T23:42:29.344536+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.01723","created_at":"2026-05-17T23:42:29.344536+00:00"},{"alias_kind":"pith_short_12","alias_value":"6UWGZVPU5LLX","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"6UWGZVPU5LLXMCUN","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"6UWGZVPU","created_at":"2026-05-18T12:32:11.075285+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/6UWGZVPU5LLXMCUNVNCDW36ZNJ","json":"https://pith.science/pith/6UWGZVPU5LLXMCUNVNCDW36ZNJ.json","graph_json":"https://pith.science/api/pith-number/6UWGZVPU5LLXMCUNVNCDW36ZNJ/graph.json","events_json":"https://pith.science/api/pith-number/6UWGZVPU5LLXMCUNVNCDW36ZNJ/events.json","paper":"https://pith.science/paper/6UWGZVPU"},"agent_actions":{"view_html":"https://pith.science/pith/6UWGZVPU5LLXMCUNVNCDW36ZNJ","download_json":"https://pith.science/pith/6UWGZVPU5LLXMCUNVNCDW36ZNJ.json","view_paper":"https://pith.science/paper/6UWGZVPU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.01723&json=true","fetch_graph":"https://pith.science/api/pith-number/6UWGZVPU5LLXMCUNVNCDW36ZNJ/graph.json","fetch_events":"https://pith.science/api/pith-number/6UWGZVPU5LLXMCUNVNCDW36ZNJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6UWGZVPU5LLXMCUNVNCDW36ZNJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6UWGZVPU5LLXMCUNVNCDW36ZNJ/action/storage_attestation","attest_author":"https://pith.science/pith/6UWGZVPU5LLXMCUNVNCDW36ZNJ/action/author_attestation","sign_citation":"https://pith.science/pith/6UWGZVPU5LLXMCUNVNCDW36ZNJ/action/citation_signature","submit_replication":"https://pith.science/pith/6UWGZVPU5LLXMCUNVNCDW36ZNJ/action/replication_record"}},"created_at":"2026-05-17T23:42:29.344536+00:00","updated_at":"2026-05-17T23:42:29.344536+00:00"}