Numerical Analysis

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Numerical algorithms for problems in analysis and algebra.

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CDT Reduces Modes for Transport-Dominated Conservative PDEs

Mapping equal-mass 1D states into CDT space makes translations affine, yielding zero 2-width for linear transport and O(n⁻¹) shock-tolerant bounds.

Jul 28, 20264 min2607.17066

Tensor Trains Cut Vlasov-Maxwell DG Cost

A modal DG solver stores the Vlasov distribution in tensor-train form, reaching 10⁴-scale compression on weakly nonlinear benchmarks.

Jul 13, 20265 min2607.08936