{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZD3VOAO5U2W4BNYJ6CBOH7VILC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5c43e2dc2f0638b167036f7c9cacc5d8553e21d064e6ca1e275d9d8ecc1b3c65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-02-20T19:03:43Z","title_canon_sha256":"a87afc66e5715d48b423aeb757c8659aa478cc4173413d47bd304b05cb40ec4d"},"schema_version":"1.0","source":{"id":"1302.5072","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.5072","created_at":"2026-05-17T23:53:17Z"},{"alias_kind":"arxiv_version","alias_value":"1302.5072v1","created_at":"2026-05-17T23:53:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.5072","created_at":"2026-05-17T23:53:17Z"},{"alias_kind":"pith_short_12","alias_value":"ZD3VOAO5U2W4","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZD3VOAO5U2W4BNYJ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZD3VOAO5","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:81ee4743ece2106a15c3c98b94512badecb1bde5508ea08381ecbbe8b878b6a9","target":"graph","created_at":"2026-05-17T23:53:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The central objective of this paper is to develop reduced basis methods for parameter dependent transport dominated problems that are rigorously proven to exhibit rate-optimal performance when compared with the Kolmogorov $n$-widths of the solution sets. The central ingredient is the construction of computationally feasible \"tight\" surrogates which in turn are based on deriving a suitable well-conditioned variational formulation for the parameter dependent problem. The theoretical results are illustrated by numerical experiments for convection-diffusion and pure transport equations. In particu","authors_text":"Christian Plesken, Gerrit Welper, Wolfgang Dahmen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-02-20T19:03:43Z","title":"Double Greedy Algorithms: Reduced Basis Methods for Transport Dominated Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.5072","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0ce8d55ca16bd209fe12390aa3dd6dbdbefa9140b839f3914dc429420b71795c","target":"record","created_at":"2026-05-17T23:53:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5c43e2dc2f0638b167036f7c9cacc5d8553e21d064e6ca1e275d9d8ecc1b3c65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-02-20T19:03:43Z","title_canon_sha256":"a87afc66e5715d48b423aeb757c8659aa478cc4173413d47bd304b05cb40ec4d"},"schema_version":"1.0","source":{"id":"1302.5072","kind":"arxiv","version":1}},"canonical_sha256":"c8f75701dda6adc0b709f082e3fea858ad59231d751c90d56a41f657d3a9a0ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8f75701dda6adc0b709f082e3fea858ad59231d751c90d56a41f657d3a9a0ab","first_computed_at":"2026-05-17T23:53:17.865731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:17.865731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"40E+v6DGVg1KvqENnpslSCCT3qojyrpzjj0L90YpP6Gg0+H7B9HkH6txLVVgAii9aLV5ThAcTmB4zYo9axhODQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:17.866514Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.5072","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ce8d55ca16bd209fe12390aa3dd6dbdbefa9140b839f3914dc429420b71795c","sha256:81ee4743ece2106a15c3c98b94512badecb1bde5508ea08381ecbbe8b878b6a9"],"state_sha256":"f4ed6e7548b2d86505e7e5bc08517169b3bb63f6b59b8b4b752ddf7b6ab8e85b"}