{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MBQXPONA7AZXCF6O233EGJIQSR","short_pith_number":"pith:MBQXPONA","schema_version":"1.0","canonical_sha256":"606177b9a0f8337117ced6f64325109459ec28b253eec9c16dc8ff90cc7d4acd","source":{"kind":"arxiv","id":"1610.09079","version":2},"attestation_state":"computed","paper":{"title":"Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving systems. Part I: Periodic boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NA","authors_text":"Taras I. Lakoba, Zihao Deng","submitted_at":"2016-10-28T04:29:38Z","abstract_excerpt":"We study numerical (in)stability of the Method of characteristics (MoC) applied to a system of non-dissipative hyperbolic partial differential equations (PDEs) with periodic boundary conditions. We consider three different solvers along the characteristics: simple Euler (SE), modified Euler (ME), and Leap-frog (LF). The two former solvers are well known to exhibit a mild, but unconditional, numerical instability for non-dissipative ordinary differential equations (ODEs). They are found to have a similar (or stronger, for the MoC-ME) instability when applied to non-dissipative PDEs. On the othe"},"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":"1610.09079","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2016-10-28T04:29:38Z","cross_cats_sorted":[],"title_canon_sha256":"108648408f7ff1d94e5e51c12b8fdcd2928bfc15f2bd7350acc6e210a89adf88","abstract_canon_sha256":"d7345ad8c65faab2affab8b2d064ce0fabeb65e1285130119131c7cbfc61cfd7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:18.186467Z","signature_b64":"R5Vdfto6yaphLgEO4es49jHWQhR0jJtT9qZn/adOP4bD+HD4VnHgt6cDOpYdHGQieqXCB8DFXyilM7wfUsUvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"606177b9a0f8337117ced6f64325109459ec28b253eec9c16dc8ff90cc7d4acd","last_reissued_at":"2026-05-18T00:39:18.185819Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:18.185819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving systems. Part I: Periodic boundary conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NA","authors_text":"Taras I. Lakoba, Zihao Deng","submitted_at":"2016-10-28T04:29:38Z","abstract_excerpt":"We study numerical (in)stability of the Method of characteristics (MoC) applied to a system of non-dissipative hyperbolic partial differential equations (PDEs) with periodic boundary conditions. We consider three different solvers along the characteristics: simple Euler (SE), modified Euler (ME), and Leap-frog (LF). The two former solvers are well known to exhibit a mild, but unconditional, numerical instability for non-dissipative ordinary differential equations (ODEs). They are found to have a similar (or stronger, for the MoC-ME) instability when applied to non-dissipative PDEs. On the othe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.09079","kind":"arxiv","version":2},"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":"1610.09079","created_at":"2026-05-18T00:39:18.185922+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.09079v2","created_at":"2026-05-18T00:39:18.185922+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.09079","created_at":"2026-05-18T00:39:18.185922+00:00"},{"alias_kind":"pith_short_12","alias_value":"MBQXPONA7AZX","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MBQXPONA7AZXCF6O","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MBQXPONA","created_at":"2026-05-18T12:30:32.724797+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/MBQXPONA7AZXCF6O233EGJIQSR","json":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR.json","graph_json":"https://pith.science/api/pith-number/MBQXPONA7AZXCF6O233EGJIQSR/graph.json","events_json":"https://pith.science/api/pith-number/MBQXPONA7AZXCF6O233EGJIQSR/events.json","paper":"https://pith.science/paper/MBQXPONA"},"agent_actions":{"view_html":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR","download_json":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR.json","view_paper":"https://pith.science/paper/MBQXPONA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.09079&json=true","fetch_graph":"https://pith.science/api/pith-number/MBQXPONA7AZXCF6O233EGJIQSR/graph.json","fetch_events":"https://pith.science/api/pith-number/MBQXPONA7AZXCF6O233EGJIQSR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR/action/storage_attestation","attest_author":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR/action/author_attestation","sign_citation":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR/action/citation_signature","submit_replication":"https://pith.science/pith/MBQXPONA7AZXCF6O233EGJIQSR/action/replication_record"}},"created_at":"2026-05-18T00:39:18.185922+00:00","updated_at":"2026-05-18T00:39:18.185922+00:00"}