{"public_id":"cl_54670f679bb3e0fb2090775125cd7742","status":"active","superseded_by_public_id":null,"corpus_id":122999502,"text":"Integrating the equations along characteristics yields a stable and accurate scheme.","confidence":0.88,"paper":{"corpus_id":122999502,"title":"Lagrange—Galerkin methods on spherical geodesic grids: the shallow water equations","url":"https://sah.borca.ai/papers/122999502"},"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"origin_summary":{"object_type":"claim","status":"active","confidence":0.88,"origin_kinds":["extraction_create"],"contribution_count":1,"contribution_task_types":["extraction"],"contribution_statuses":["applied"],"verifier_verdict_count":0,"verifier_classes":[],"verifier_class_counts":{"system":0,"user_agent":0},"verdict_counts":{"approve":0,"reject":0},"verifier_state":"no_verdicts","basis":["kg_settlement_results.decision_payload.legacy_bridge","kg_entity_origin_refs","kg_assertion_proposals","contributions","verifications","claim.status","claim.confidence"],"limits":["ledger provenance is aggregated; raw contribution and verifier audit rows are not expanded","entity matching uses settlement bridge refs and edge commands"]},"concepts":[{"public_id":"co_14c121df0c45585efe0e55fc44f50885","name":"stable and accurate solutions","description":"Numerical solutions with controlled growth of errors and good approximation quality.","types":["outcome"],"url":"https://sah.borca.ai/concepts/co_14c121df0c45585efe0e55fc44f50885"},{"public_id":"co_6b3be6b9def98218c0556c37568e1107","name":"characteristics","description":"Curves along which the governing equations are integrated in the Lagrange–Galerkin formulation.","types":["mathematical object"],"url":"https://sah.borca.ai/concepts/co_6b3be6b9def98218c0556c37568e1107"},{"public_id":"co_7040c219015a4174f29243707773f06b","name":"weak Lagrange–Galerkin finite element method","description":"A finite element discretization that traces solution values along characteristics in a weak formulation.","types":["method"],"url":"https://sah.borca.ai/concepts/co_7040c219015a4174f29243707773f06b"}],"related_claims":[],"url":"https://sah.borca.ai/claims/cl_54670f679bb3e0fb2090775125cd7742"}