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Walk in Envelopes: Efficient Branching Walk-on-Spheres via Certified Solution Bounds
Branching Walk-on-Spheres (WoS) solves semilinear PDEs without meshes, but its computational cost grows sharply near critical branching rates. We introduce Walk in Envelopes (WiE), which uses certified solution bounds to transform branching diffusion rather than prune existing trees. The transformat
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