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    SIAMSC
    2011
    219views more  SIAMSC 2011»
    Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian
    13 years 7 days ago
    Fast Algorithms for Bayesian Uncertainty Quantification in Large-Scale Linear Inverse Problems Based on Low-Rank Partial Hessian
    Download  lucaswilcox.com
    We consider the problem of estimating the uncertainty in large-scale linear statistical inverse problems with high-dimensional parameter spaces within the framework of Bayesian inf...
    H. P. Flath, Lucas C. Wilcox, Volkan Akcelik, Judi...
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    SIAMSC
    2011
    113views more  SIAMSC 2011»
    An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann-Based Molecular Electrostatics
    12 years 11 months ago
    An Efficient Higher-Order Fast Multipole Boundary Element Solution for Poisson-Boltzmann-Based Molecular Electrostatics
    Download  cvcweb.ices.utexas.edu
    In order to compute polarization energy of biomolecules, we describe a boundary element approach to solving the linearized Poisson–Boltzmann equation. Our approach combines sever...
    Chandrajit L. Bajaj, Shun-Chuan Albert Chen, Alexa...
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    SIAMSC
    2011
    140views more  SIAMSC 2011»
    A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calcu
    12 years 8 months ago
    A Fast Parallel Algorithm for Selected Inversion of Structured Sparse Matrices with Application to 2D Electronic Structure Calcu
    Download  www.math.utexas.edu
    Abstract. An efficient parallel algorithm is presented and tested for computing selected components of H−1 where H has the structure of a Hamiltonian matrix of two-dimensional la...
    Lin Lin, Chao Yang, Jianfeng Lu, Lexing Ying, Wein...
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    SIAMSC
    2011
    151views more  SIAMSC 2011»
    Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
    13 years 7 days ago
    Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity
    Download  www.cs.colorado.edu
    The classical inexact Newton algorithm is an efficient and popular technique for solving large sparse nonlinear system of equations. When the nonlinearities in the system are wellb...
    Xiao-Chuan Cai, Xuefeng Li
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    SIAMSC
    2011
    177views more  SIAMSC 2011»
    Computing f(A)b via Least Squares Polynomial Approximations
    13 years 7 days ago
    Computing f(A)b via Least Squares Polynomial Approximations
    Download  www.mcs.anl.gov
    Given a certain function f, various methods have been proposed in the past for addressing the important problem of computing the matrix-vector product f(A)b without explicitly comp...
    Jie Chen, Mihai Anitescu, Yousef Saad
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