All Stories

  1. The Mori–Zwanzig formulation of deep learning

    Article • Research in the Mathematical Sciences, May 2023, Springer Science + Business Media

    Prof Xiantao Li

  2. Succinct Description and Efficient Simulation of Non-Markovian Open Quantum Systems

    Article • Communications in Mathematical Physics, January 2023, Springer Science + Business Media

    Prof Xiantao Li

  3. Stability preserving data-driven models with latent dynamics

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, August 2022, American Institute of Physics

    Prof Xiantao Li

  4. Some error analysis for the quantum phase estimation algorithms

    Article • Journal of Physics A Mathematical and Theoretical, July 2022, Institute of Physics Publishing

    Prof Xiantao Li

  5. Quantum simulation in the semi-classical regime

    Article • Quantum, June 2022, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

    Prof Xiantao Li

  6. Projection‐based model reduction for the immersed boundary method

    Article • International Journal for Numerical Methods in Biomedical Engineering, December 2021, Wiley

    Prof Xiantao Li

  7. A projection-based reduced-order method for electron transport problems with long-range interactions

    Article • The Journal of Chemical Physics, September 2021, American Institute of Physics

    Prof Xiantao Li

  8. Petrov–Galerkin methods for the construction of non-Markovian dynamics preserving nonlocal statistics

    Article • The Journal of Chemical Physics, May 2021, American Institute of Physics

    Prof Xiantao Li

  9. Markovian embedding procedures for non-Markovian stochastic Schrödinger equations

    Article • Physics Letters A, January 2021, Elsevier

    Prof Xiantao Li

  10. Random Batch Algorithms for Quantum Monte Carlo Simulations

    Article • Communications in Computational Physics, June 2020, Global Science Press

    Prof Xiantao Li

  11. Reduced-Order Modeling Approach for Electron Transport in Molecular Junctions

    Article • Journal of Chemical Theory and Computation, April 2020, American Chemical Society (ACS)

    Prof Xiantao Li

  12. Exponential integrators for stochastic Schrödinger equations

    Article • January 2020, American Physical Society (APS)

    Prof Xiantao Li

  13. Absorbing boundary conditions for time-dependent Schrödinger equations: A density-matrix formulation

    Article • The Journal of Chemical Physics, March 2019, American Institute of Physics

    Prof Xiantao Li

  14. A parameter estimation method using linear response statistics: Numerical scheme

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, March 2019, American Institute of Physics

    Prof Xiantao Li

  15. Coarse-graining Langevin dynamics using reduced-order techniques

    Article • Journal of Computational Physics, March 2019, Elsevier

    Prof Xiantao Li

  16. The Mori–Zwanzig formalism for the derivation of a fluctuating heat conduction model from molecular dynamics

    Article • Communications in Mathematical Sciences, January 2019, International Press of Boston

    Prof Xiantao Li

  17. The derivation and approximation of coarse-grained dynamics from Langevin dynamics

    Article • The Journal of Chemical Physics, November 2016, American Institute of Physics

    Prof Xiantao Li

  18. On consistent definitions of momentum and energy fluxes for molecular dynamics models with multi-body interatomic potentials

    Article • Modelling and Simulation in Materials Science and Engineering, December 2014, Institute of Physics Publishing

    Prof Xiantao Li

  19. This paper explained the Mori-Zwanzig formulation in terms of a Galerkin projection.

    Article • International Journal for Numerical Methods in Engineering, April 2014, Wiley

    Prof Xiantao Li

  20. On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension

    Article • Communications in Computational Physics, March 2014, Global Science Press

    Prof Xiantao Li

  21. A bifurcation study of crack initiation and kinking

    Article • The European Physical Journal B, June 2013, Springer Science + Business Media

    Prof Xiantao Li

  22. An atomistic-based boundary element method for the reduction of molecular statics models

    Article • Computer Methods in Applied Mechanics and Engineering, June 2012, Elsevier

    Prof Xiantao Li

  23. Efficient boundary conditions for molecular statics models of solids

    Article • Physical Review B, September 2009, American Physical Society (APS)

    Prof Xiantao Li

  24. On the stability of boundary conditions for molecular dynamics

    Article • Journal of Computational and Applied Mathematics, September 2009, Elsevier

    Prof Xiantao Li

  25. Multiscale Modeling Of Crystalline Solids

    Article • January 2005, Springer Science + Business Media

    Prof Xiantao Li

  26. Multiscale Modeling Of Crystalline Solids

    Article • January 2005, Springer Science + Business Media

    Prof Xiantao Li