PDEformer-2 Extends Foundation Models to Two-Dimensional PDEs
A computational-graph representation and coordinate queries let one pretrained model address diverse 2D PDE forms after training on a 40 TB dataset.
Sep 15, 20264 min2507.15409
Numerical Analysis
math.NANumerical 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