{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:JYDVZP6OMY4FAVCCUF2QEYNRL3","short_pith_number":"pith:JYDVZP6O","schema_version":"1.0","canonical_sha256":"4e075cbfce6638505442a1750261b15ef826a20688c9b4a2034521dc3919bdd7","source":{"kind":"arxiv","id":"1807.09467","version":1},"attestation_state":"computed","paper":{"title":"Accelerating the iterative solution of convection-diffusion problems using singular value decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Giuseppe Pitton, Luca Heltai","submitted_at":"2018-07-25T08:02:25Z","abstract_excerpt":"The discretization of convection-diffusion equations by implicit or semi-implicit methods leads to a sequence of linear systems usually solved by iterative linear solvers such as GMRES. Many techniques bearing the name of \\emph{recycling Krylov space methods} have been proposed to speed up the convergence rate after restarting, usually based on the selection and retention of some Arnoldi vectors.\n  After providing a unified framework for the description of a broad class of recycling methods and preconditioners, we propose an alternative recycling strategy based on a singular value decompositio"},"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":"1807.09467","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-07-25T08:02:25Z","cross_cats_sorted":[],"title_canon_sha256":"468d1a4805146a12c96da3f92ce06c186410114a3e5b720a2cb9f4357272502e","abstract_canon_sha256":"8c4ca5078526760ebefd3581f05ae2803bfdfdf449d90c690d9e610ab3f3e0f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:51.242283Z","signature_b64":"dVDS3ERsT+J4M2clcc4u2K2QNEqOmDKsA1xme9CZF2xq1RoR4I5JKapANYkkNVU/GkBAn47eQCk4LuSmatBBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e075cbfce6638505442a1750261b15ef826a20688c9b4a2034521dc3919bdd7","last_reissued_at":"2026-05-18T00:09:51.241597Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:51.241597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Accelerating the iterative solution of convection-diffusion problems using singular value decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Giuseppe Pitton, Luca Heltai","submitted_at":"2018-07-25T08:02:25Z","abstract_excerpt":"The discretization of convection-diffusion equations by implicit or semi-implicit methods leads to a sequence of linear systems usually solved by iterative linear solvers such as GMRES. Many techniques bearing the name of \\emph{recycling Krylov space methods} have been proposed to speed up the convergence rate after restarting, usually based on the selection and retention of some Arnoldi vectors.\n  After providing a unified framework for the description of a broad class of recycling methods and preconditioners, we propose an alternative recycling strategy based on a singular value decompositio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.09467","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":"1807.09467","created_at":"2026-05-18T00:09:51.241703+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.09467v1","created_at":"2026-05-18T00:09:51.241703+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.09467","created_at":"2026-05-18T00:09:51.241703+00:00"},{"alias_kind":"pith_short_12","alias_value":"JYDVZP6OMY4F","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"JYDVZP6OMY4FAVCC","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"JYDVZP6O","created_at":"2026-05-18T12:32:33.847187+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/JYDVZP6OMY4FAVCCUF2QEYNRL3","json":"https://pith.science/pith/JYDVZP6OMY4FAVCCUF2QEYNRL3.json","graph_json":"https://pith.science/api/pith-number/JYDVZP6OMY4FAVCCUF2QEYNRL3/graph.json","events_json":"https://pith.science/api/pith-number/JYDVZP6OMY4FAVCCUF2QEYNRL3/events.json","paper":"https://pith.science/paper/JYDVZP6O"},"agent_actions":{"view_html":"https://pith.science/pith/JYDVZP6OMY4FAVCCUF2QEYNRL3","download_json":"https://pith.science/pith/JYDVZP6OMY4FAVCCUF2QEYNRL3.json","view_paper":"https://pith.science/paper/JYDVZP6O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.09467&json=true","fetch_graph":"https://pith.science/api/pith-number/JYDVZP6OMY4FAVCCUF2QEYNRL3/graph.json","fetch_events":"https://pith.science/api/pith-number/JYDVZP6OMY4FAVCCUF2QEYNRL3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JYDVZP6OMY4FAVCCUF2QEYNRL3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JYDVZP6OMY4FAVCCUF2QEYNRL3/action/storage_attestation","attest_author":"https://pith.science/pith/JYDVZP6OMY4FAVCCUF2QEYNRL3/action/author_attestation","sign_citation":"https://pith.science/pith/JYDVZP6OMY4FAVCCUF2QEYNRL3/action/citation_signature","submit_replication":"https://pith.science/pith/JYDVZP6OMY4FAVCCUF2QEYNRL3/action/replication_record"}},"created_at":"2026-05-18T00:09:51.241703+00:00","updated_at":"2026-05-18T00:09:51.241703+00:00"}