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Frontiers in Applied and Computational Mathematics: Special Collection in Honor of Bjorn Engquist in the Occasion of His 70th Birthday

  1. Research

    Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method

    In this paper we study the stochastic Galerkin approximation for the linear transport equation with random inputs and diffusive scaling. We first establish uniform (in the Knudsen number) stability results in ...

    Shi Jin, Jian-Guo Liu and Zheng Ma

    Research in the Mathematical Sciences 2017 4:15

    Published on: 7 August 2017

  2. Research

    Distributed-memory hierarchical interpolative factorization

    The hierarchical interpolative factorization (HIF) offers an efficient way for solving or preconditioning elliptic partial differential equations. By exploiting locality and low-rank properties of the operator...

    Yingzhou Li and Lexing Ying

    Research in the Mathematical Sciences 2017 4:12

    Published on: 5 June 2017

  3. Research

    Fast Ewald summation for free-space Stokes potentials

    We present a spectrally accurate method for the rapid evaluation of free-space Stokes potentials, i.e., sums involving a large number of free space Green’s functions. We consider sums involving stokeslets, str...

    Ludvig af Klinteberg, Davoud Saffar Shamshirgar and Anna-Karin Tornberg

    Research in the Mathematical Sciences 2017 4:1

    Published on: 1 February 2017

  4. Research

    Stochastic regularity of a quadratic observable of high-frequency waves

    We consider high-frequency waves satisfying the scalar wave equation with highly oscillatory initial data. The wave speed, and the phase and amplitude of the initial data are assumed to be uncertain, described...

    G. Malenová, M. Motamed and O. Runborg

    Research in the Mathematical Sciences 2017 4:3

    Published on: 24 January 2017