{"total":2,"items":[{"citing_arxiv_id":"2607.06429","ref_index":46,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Nested Volume-Surface Integral Equations for Acoustics","primary_cat":"math.NA","submitted_at":"2026-07-07T15:55:49+00:00","verdict":"CONDITIONAL","verdict_confidence":"MODERATE","novelty_score":5.0,"formal_verification":"none","one_line_summary":"A nested-domain volume-surface integral equation for the Helmholtz equation with heterogeneous density is derived and verified against BEM and FEM-BEM benchmarks.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.21046","ref_index":24,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Stochastic Galerkin and Monte-Carlo methods for parabolic problems: Numerical performance of variational matrix-free approximations","primary_cat":"math.NA","submitted_at":"2026-05-20T11:26:46+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":4.0,"formal_verification":"none","one_line_summary":"Numerical tests indicate that a stochastic Galerkin discretization with embedded slabwise space-time finite elements and GMRES-GMG solvers outperforms Monte-Carlo sampling for random parabolic problems in convergence and algebraic solver statistics.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}