{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:6D4QDBHHTEGRXLHNKE4IRUZIWS","short_pith_number":"pith:6D4QDBHH","schema_version":"1.0","canonical_sha256":"f0f90184e7990d1baced513888d328b4b43263c64cebfc6ce9f01acfa9ce44e4","source":{"kind":"arxiv","id":"1902.08122","version":1},"attestation_state":"computed","paper":{"title":"Convergence of fully discrete implicit and semi-implicit approximations of nonlinear parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Michael R\\r{u}\\v{z}i\\v{c}ka, S\\\"oren Bartels","submitted_at":"2019-02-21T16:23:40Z","abstract_excerpt":"The article addresses the convergence of implicit and semi-implicit, fully discrete approximations of a class of nonlinear parabolic evolution problems. Such schemes are popular in the numerical solution of evolutions defined with the $p$-Laplace operator since the latter lead to linear systems of equations in the time steps. The semi-implicit treatment of the operator requires introducing a regularization parameter that has to be suitably related to other discretization parameters. To avoid restrictive, unpractical conditions, a careful convergence analysis has to be carried out. The argument"},"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":"1902.08122","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-02-21T16:23:40Z","cross_cats_sorted":[],"title_canon_sha256":"e1c48f0d8142869e03f73ae2501c972ed2f9513ee3a40e50d53f0d1f5f723373","abstract_canon_sha256":"fb03a43e197f40e0dcdcd7b63dae17f44c183fd392d8de6e2e29f1ef1199fa08"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:02.022869Z","signature_b64":"fx7KK+8gWEWdKMlfkmSGFx0PuNNJZcSvm3YO3EkG8MFPYR/zIM/CTyWtJk2NqmdDF1fgyOsNQwG/v9rxiyqTAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0f90184e7990d1baced513888d328b4b43263c64cebfc6ce9f01acfa9ce44e4","last_reissued_at":"2026-05-17T23:53:02.022303Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:02.022303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence of fully discrete implicit and semi-implicit approximations of nonlinear parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Michael R\\r{u}\\v{z}i\\v{c}ka, S\\\"oren Bartels","submitted_at":"2019-02-21T16:23:40Z","abstract_excerpt":"The article addresses the convergence of implicit and semi-implicit, fully discrete approximations of a class of nonlinear parabolic evolution problems. Such schemes are popular in the numerical solution of evolutions defined with the $p$-Laplace operator since the latter lead to linear systems of equations in the time steps. The semi-implicit treatment of the operator requires introducing a regularization parameter that has to be suitably related to other discretization parameters. To avoid restrictive, unpractical conditions, a careful convergence analysis has to be carried out. The argument"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08122","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":"1902.08122","created_at":"2026-05-17T23:53:02.022417+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.08122v1","created_at":"2026-05-17T23:53:02.022417+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.08122","created_at":"2026-05-17T23:53:02.022417+00:00"},{"alias_kind":"pith_short_12","alias_value":"6D4QDBHHTEGR","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_16","alias_value":"6D4QDBHHTEGRXLHN","created_at":"2026-05-18T12:33:10.108867+00:00"},{"alias_kind":"pith_short_8","alias_value":"6D4QDBHH","created_at":"2026-05-18T12:33:10.108867+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/6D4QDBHHTEGRXLHNKE4IRUZIWS","json":"https://pith.science/pith/6D4QDBHHTEGRXLHNKE4IRUZIWS.json","graph_json":"https://pith.science/api/pith-number/6D4QDBHHTEGRXLHNKE4IRUZIWS/graph.json","events_json":"https://pith.science/api/pith-number/6D4QDBHHTEGRXLHNKE4IRUZIWS/events.json","paper":"https://pith.science/paper/6D4QDBHH"},"agent_actions":{"view_html":"https://pith.science/pith/6D4QDBHHTEGRXLHNKE4IRUZIWS","download_json":"https://pith.science/pith/6D4QDBHHTEGRXLHNKE4IRUZIWS.json","view_paper":"https://pith.science/paper/6D4QDBHH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.08122&json=true","fetch_graph":"https://pith.science/api/pith-number/6D4QDBHHTEGRXLHNKE4IRUZIWS/graph.json","fetch_events":"https://pith.science/api/pith-number/6D4QDBHHTEGRXLHNKE4IRUZIWS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6D4QDBHHTEGRXLHNKE4IRUZIWS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6D4QDBHHTEGRXLHNKE4IRUZIWS/action/storage_attestation","attest_author":"https://pith.science/pith/6D4QDBHHTEGRXLHNKE4IRUZIWS/action/author_attestation","sign_citation":"https://pith.science/pith/6D4QDBHHTEGRXLHNKE4IRUZIWS/action/citation_signature","submit_replication":"https://pith.science/pith/6D4QDBHHTEGRXLHNKE4IRUZIWS/action/replication_record"}},"created_at":"2026-05-17T23:53:02.022417+00:00","updated_at":"2026-05-17T23:53:02.022417+00:00"}