Low-L2-error neural operators for PDE warm-starts can yield indefinite Jacobians; energy-penalized fine-tuning restores positive definiteness and achieves up to 5.4x speedup on 6.4M DOF hyperelasticity problems.
Résolution d' EDP par un schéma en temps «pararéel »
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A parallel two-level stepping method for athermal quasistatic deformation achieves average computational speed-ups of 2.02 to 6.33 times with 4 to 32 threads.
The serial scaling hypothesis formalizes inherently serial problems in complexity theory and demonstrates that diffusion models cannot solve them.
citing papers explorer
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Spectrally Safe Neural Operator Warm-Starts for Large-Scale Newton Solvers
Low-L2-error neural operators for PDE warm-starts can yield indefinite Jacobians; energy-penalized fine-tuning restores positive definiteness and achieves up to 5.4x speedup on 6.4M DOF hyperelasticity problems.
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Parallel athermal quasistatic deformation stepping of molecular systems
A parallel two-level stepping method for athermal quasistatic deformation achieves average computational speed-ups of 2.02 to 6.33 times with 4 to 32 threads.
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The Serial Scaling Hypothesis
The serial scaling hypothesis formalizes inherently serial problems in complexity theory and demonstrates that diffusion models cannot solve them.