{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:TJ6NJICV6GKQMKBHJRAE6XBABC","short_pith_number":"pith:TJ6NJICV","schema_version":"1.0","canonical_sha256":"9a7cd4a055f1950628274c404f5c2008b9dd13780ab87252b547d8e9fdc9c29d","source":{"kind":"arxiv","id":"1805.03981","version":1},"attestation_state":"computed","paper":{"title":"Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NA","authors_text":"Katharina Kormann, Martin Kronbichler, Svenja Schoeder, Wolfgang Wall","submitted_at":"2018-05-09T14:23:05Z","abstract_excerpt":"This work presents algorithms for the efficient implementation of discontinuous Galerkin methods with explicit time stepping for acoustic wave propagation on unstructured meshes of quadrilaterals or hexahedra. A crucial step towards efficiency is to evaluate operators in a matrix-free way with sum-factorization kernels. The method allows for general curved geometries and variable coefficients. Temporal discretization is carried out by low-storage explicit Runge-Kutta schemes and the arbitrary derivative (ADER) method. For ADER, we propose a flexible basis change approach that combines cheap fa"},"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":"1805.03981","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NA","submitted_at":"2018-05-09T14:23:05Z","cross_cats_sorted":[],"title_canon_sha256":"879ff9a299a2dc32ae7742c487fe489df22b483c88f66c265cce36ee097df46d","abstract_canon_sha256":"8518d2d300a0852bd6ed669bc0e2b87ab81812ef326fc94e911d1020542cc242"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:07.708638Z","signature_b64":"8KI5xYFwiaxXndbYXkVqRD/MrasPA1GLsi0L6aw0gPbYUJMEbZtXsKkdnpDjRglb54R3N71MXV0bK0w42gK5Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a7cd4a055f1950628274c404f5c2008b9dd13780ab87252b547d8e9fdc9c29d","last_reissued_at":"2026-05-17T23:52:07.708193Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:07.708193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient Explicit Time Stepping of High Order Discontinuous Galerkin Schemes for Waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NA","authors_text":"Katharina Kormann, Martin Kronbichler, Svenja Schoeder, Wolfgang Wall","submitted_at":"2018-05-09T14:23:05Z","abstract_excerpt":"This work presents algorithms for the efficient implementation of discontinuous Galerkin methods with explicit time stepping for acoustic wave propagation on unstructured meshes of quadrilaterals or hexahedra. A crucial step towards efficiency is to evaluate operators in a matrix-free way with sum-factorization kernels. The method allows for general curved geometries and variable coefficients. Temporal discretization is carried out by low-storage explicit Runge-Kutta schemes and the arbitrary derivative (ADER) method. For ADER, we propose a flexible basis change approach that combines cheap fa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.03981","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":"1805.03981","created_at":"2026-05-17T23:52:07.708267+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.03981v1","created_at":"2026-05-17T23:52:07.708267+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.03981","created_at":"2026-05-17T23:52:07.708267+00:00"},{"alias_kind":"pith_short_12","alias_value":"TJ6NJICV6GKQ","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"TJ6NJICV6GKQMKBH","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"TJ6NJICV","created_at":"2026-05-18T12:32:53.628368+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/TJ6NJICV6GKQMKBHJRAE6XBABC","json":"https://pith.science/pith/TJ6NJICV6GKQMKBHJRAE6XBABC.json","graph_json":"https://pith.science/api/pith-number/TJ6NJICV6GKQMKBHJRAE6XBABC/graph.json","events_json":"https://pith.science/api/pith-number/TJ6NJICV6GKQMKBHJRAE6XBABC/events.json","paper":"https://pith.science/paper/TJ6NJICV"},"agent_actions":{"view_html":"https://pith.science/pith/TJ6NJICV6GKQMKBHJRAE6XBABC","download_json":"https://pith.science/pith/TJ6NJICV6GKQMKBHJRAE6XBABC.json","view_paper":"https://pith.science/paper/TJ6NJICV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.03981&json=true","fetch_graph":"https://pith.science/api/pith-number/TJ6NJICV6GKQMKBHJRAE6XBABC/graph.json","fetch_events":"https://pith.science/api/pith-number/TJ6NJICV6GKQMKBHJRAE6XBABC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TJ6NJICV6GKQMKBHJRAE6XBABC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TJ6NJICV6GKQMKBHJRAE6XBABC/action/storage_attestation","attest_author":"https://pith.science/pith/TJ6NJICV6GKQMKBHJRAE6XBABC/action/author_attestation","sign_citation":"https://pith.science/pith/TJ6NJICV6GKQMKBHJRAE6XBABC/action/citation_signature","submit_replication":"https://pith.science/pith/TJ6NJICV6GKQMKBHJRAE6XBABC/action/replication_record"}},"created_at":"2026-05-17T23:52:07.708267+00:00","updated_at":"2026-05-17T23:52:07.708267+00:00"}