Multiscale Modeling & Simulation

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  Publication Venue For

  • A Data-Driven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction.  18:1242-1271. 2020
  • Randomized sampling for basis function construction in generalized finite element methods.  18:1153-1177. 2020
  • Intrinsic complexity and scaling laws: From random fields to random vectors.  17:460-481. 2019
  • A diabatic surface hopping algorithm based on time dependent perturbation theory and semiclassical analysis.  16:1603-1622. 2018
  • Analysis of multiscale integrators for multiple attractors and irreversible langevin samplers.  16:1859-1883. 2018
  • Point cloud discretization of Fokker-planck operators for committor functions.  16:710-726. 2018
  • An asymptotic preserving method for transport equations with oscillatory scattering coefficients.  15:1694-1718. 2017
  • Preconditioning orbital minimization method for planewave discretization.  15:254-273. 2017
  • On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods.  14:1463-1487. 2016
  • Crystal image analysis using 2D synchrosqueezed transforms.  13:1542-1572. 2015
  • Flow on sweeping networks.  12:538-565. 2014
  • Stochastic model and generator for random fields with symmetry properties: Application to the mesoscopic modeling of elastic random media.  11:840-870. 2013
  • Frozen gaussian approximation for general linear strictly hyperbolic systems: Formulation and eulerian methods.  10:451-472. 2012
  • A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton–Jacobi Equations.  9:711-734. 2011
  • A framework for adaptive multiscale methods for elliptic problems.  7:171-196. 2008
  • Learning multiscale sparse representations for image and video restoration.  7:214-241. 2008
  • A sparse spectral method for homogenization multiscale problems.  6:711-740. 2007
  • Macroscopic fluid models with localized kinetic upscaling effects.  5:940-979. 2006
  • Morse description and morphological encoding of continuous data.  2:179-209. 2004
  • Reaction-diffusion front speeds in spatially-temporally periodic shear flows.  1:554-570. 2003