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Cross-referenced against our prover orchestration layers: - Plan-Execute-Verify-Replan ↔ L0-L3 pipeline - Agents as specialists ↔ 11-agent swarm - Guardrails ↔ ProverWatchdog - Sandbox testing ↔ Virtual FPGA tests - Trajectory-aware eval ↔ BFS audit trail 5 gaps identified, 4 strengths confirmed
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868 B
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9 lines
868 B
Text
created: 20260507000000000
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modified: 20260507000000000
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tags: ResearchStack Math AMMR PDE
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title: AMMR Adaptive Meshless Methods
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type: text/vnd.tiddlywiki
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! AMMR Adaptive Meshless Methods
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Adaptive Meshless Methods Repository (`3-Mathematical-Models/AMMR/`) provides mesh-free PDE solving with formal Lean proofs (`AMMRLUT.lean`). Covers heat equation (2D), wave equation overhangs, and adaptive resolution refinement. The `WAVE_OVERHANGS_HEAT2D.md` cross-documents both solvers. Formal paper at `paper/AMMR.pdf`. Related to the [[Orthogonal AMMR]] Lean module and O-AMMR CRC pattern memory (`6-Documentation/docs/semantics/O_AMMR_CRC_PATTERN_MEMORY.md`). The adaptive meshless approach feeds into the [[Topological State Machine]] for geometric PDE evolution without grid constraints. Part of the layered mountain model (NUVMAP → AVMR → AMMR → O-AMMR → GCCL).
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