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
Numerical algorithms for problems in analysis and algebra.
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.
A modal DG solver stores the Vlasov distribution in tensor-train form, reaching 10⁴-scale compression on weakly nonlinear benchmarks.