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math.NA2026
Young Measure Based Quantum Linear Programming Algorithms for Nonlinear/Stochastic Multiscale Partial Differential Equations and Homogenization
Siqi Chen, Shi Jin, Lei Zhang
We study quantum algorithms for nonlinear and stochastic homogenization via a Young-measure based linear programming (LP) formulation, which lifts the nonlinear problem to a linear…
math.NA2024
Higher-order Far-field Boundary Conditions for Crystalline Defects
Julian Braun, Christoph Ortner, Yangshuai Wang +1
Crystalline materials exhibit long-range elastic fields due to the presence of defects, leading to significant domain size effects in atomistic simulations. A rigorous far-field ex…