Preprints: Works of Current Interest

Miscellanea.

• A study of deformation localization in nonlinear elastic square lattices under compression [With R.Pal, F.Bonetto, M. Ruzzene. Phil. Trans. R. Soc. A (2018) 376:20170140.]
• Double descent and intermittent color diffusion for global optimization and landscape exploration [With M. Manetta, H. Zhou. Numerical Algorithms 85, pp. 145-169 (2020).]
• Nonnegative moment coordinates on finite element geometries [With F. Difonzo, N. Sukumar. Mathematics in Engineering, 6-1,(2024).]

Stochastic Poincare' map and Fokker-Planck equation

• A new model for realistic random perturbations of stochastic oscillators [With Wuchen Li, Haomin Zhou. In J. Diff. Eq., 261-4 (2016), pp. 2502-2527.]
• Entropy dissipation semi-discretization schemes for Fokker-Planck equations [With Shui-Nee Chow, Wuchen Li, Haomin Zhou. In J. Dyn.Diff.Eq.s, 31 (2019), pp. 765-792.]

Optimal transport, Auction algorithm.

• A real valued auction algorithm for optimal transport [With J.D. Walsh. In Statistical Analysis and Data Mining, 12-6 (2019), pp. 514-533.]
• The boundary method for semi-discrete optimal transport partitions and Wasserstein distance computation [With J.D. Walsh. J. Comput. & Applied Maths, 353 (2019), p.. 318-344.]
• Time discretizations of Wasserstein-Hamiltonian flows [With J. Cui, H. Zhou. Mathematics of Computation 91 (2022), pp. 1019-1075.]
• A Continuation Multiple Shooting Method for Wasserstein Geodesic Equation [With J. Cui, H. Zhou. SIAM Journal on Scientific Computing 44-5 (2022), pp. 2918-2943.]
• Techniques for Continuous Optimal Transport Problem [With D.Omarov. Computers and Mathematics with Applications (2023).]
• Solving Semi-Discrete Optimal Transport Problems: star shapedeness and Newton's method [With D.Omarov. Numerical Algorithms(2024).]