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    Springer
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    A Multiscale Method for Epitaxial Growth
    15 years 8 days ago
    A Multiscale Method for Epitaxial Growth
    Download  www.cims.nyu.edu
    In this paper we investigate a heterogeneous multiscale method (HMM) for interface tracking and apply the technique to the simulation of epitaxial growth. HMM relies on an efficien...
    Yi Sun, Russel Caflisch, Björn Engquist
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    209
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    Scalable Bayesian Reduced-Order Models for Simulating High-Dimensional Multiscale Dynamical Systems
    15 years 23 days ago
    Scalable Bayesian Reduced-Order Models for Simulating High-Dimensional Multiscale Dynamical Systems
    Download  ceeserver.cee.cornell.edu
    While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and thei...
    Phaedon-Stelios Koutsourelakis, Elias Bilionis
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    MMAS
    2011
    Springer
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    Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
    14 years 8 months ago
    Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
    Download  www.math.utexas.edu
    This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow th...
    Björn Engquist, Lexing Ying
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    MMAS
    2011
    Springer
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    Mesoscale Asymptotic Approximations to Solutions of Mixed Boundary Value Problems in Perforated Domains
    15 years 23 days ago
    Mesoscale Asymptotic Approximations to Solutions of Mixed Boundary Value Problems in Perforated Domains
    Download  www.mai.liu.se
    Vladimir Maz'ya, A. Movchan, M. Nieves
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