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150 research outcomes, page 1 of 15
  • publication . Journal . Article . 2020
    Open Access English
    Authors:
    Mei-Heng Yueh; Hsiao Han Huang; Tiexiang Li; Wen Wei Lin; Shing-Tung Yau;
    Persistent Identifiers
    Publisher: oeaw

    Surface parameterizations have been widely applied in computer-aided design for the geometric processing tasks of surface registration, remeshing, texture mapping, and so on. In this paper, we present an efficient balanced energy minimization algorithm for the computati...

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  • publication . Journal . Article . Preprint . 2020
    Open Access English
    Authors:
    Robert Nasdala; Daniel Potts;
    Persistent Identifiers
    Publisher: oeaw

    This paper describes an extension of Fourier approximation methods for multivariate functions defined on thetorus $\\mathbb{T}^d$ to functions in a weighted Hilbert space $L_{2}(\\mathbb{R}^d, \\omega)$via a multivariate change of variables $\\psi:\\left(-\\frac{1}{2},\...

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  • publication . Journal . Article . 2019
    Open Access English
    Authors:
    Artem Napov; Ronan Perrussel;
    Persistent Identifiers
    Publisher: oeaw

    info:eu-repo/semantics/published

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  • publication . Journal . Article . 2018
    Open Access English
    Authors:
    Nasim Eshghi; Lothar Reichel; Miodrag M. Spalević;
    Persistent Identifiers
    Publisher: oeaw

    Matrix functions of the form $f(A)v$, where $A$ is a large symmetric matrix, $f$ is afunction, and $v\\ne 0$ is a vector, are commonly approximated by first applying a few,say $n$, steps of the symmetric Lanczos process to $A$ with the initial vector $v$ in order todete...

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  • publication . Journal . Article . 2018
    Open Access English
    Authors:
    Abdrhaman Mahmoud; Bo Yu; Xuping Zhang;
    Persistent Identifiers
    Publisher: oeaw

    Multiple solutions of fourth-order ordinary differential equations (ODEs) with cubic polynomial nonlinearity are presented in this paper. The ODEs are discretized by the eigenfunction expansion method. Discretization error estimates are derived. We construct an efficien...

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  • publication . Article . Journal . 2017
    Open Access
    Authors:
    Andreas Frommer; Kathryn Lund; Daniel B. Szyld;
    Persistent Identifiers
    Publisher: Osterreichische Akademie der Wissenschaften

    A variety of block Krylov subspace methods have been successfully developed for linear systems and matrix equations. The application of block Krylov methods to compute matrix functions is, however, less established, despite the growing prevalence of matrix functions in ...

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  • publication . Article . Journal . 2018
    Open Access
    Authors:
    Durkbin Cho; Luca F. Pavarino; Simone Scacchi;
    Persistent Identifiers
    Publisher: Osterreichische Akademie der Wissenschaften

    A scalable overlapping Schwarz preconditioner for the biharmonic Dirichlet problem discretized by isogeometric analysis is constructed, and its convergence rate is analyzed. The proposed preconditioner is based on solving local biharmonic problems on overlapping subdoma...

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  • publication . Article . Journal . Other literature type . 2016
    Open Access English
    Authors:
    Joanna Paulina Siwek; Wojciech Biernacki;
    Persistent Identifiers

    The purpose of the research conducted in the years 2008–2009 was to determine the effect of wastewater generated by several tourist lodges in Tatra National Park (an alpine environment) on the concentration of biogenic ions (NH4 +, NO2 −, NO3 − and PO4 3−) in local stre...

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  • publication . Journal . Article . 2019
    Open Access English
    Authors:
    Marija Miloloža Pandur;
    Persistent Identifiers
    Publisher: oeaw

    Preconditioned gradient iterations for large and sparse Hermitian generalized eigenvalue problems Ax=λBx, with positive definite B, are efficient methods for computing a few extremal eigenpairs. In this paper we give a unifying framework of preconditioned gradient itera...

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  • publication . Journal . Preprint . Article . 2020
    Open Access English
    Authors:
    Ramlau, Ronny; Stadler, Bernadett;
    Persistent Identifiers
    Publisher: oeaw
    Project: EC | ROMSOC (765374)

    Atmospheric tomography, i.e., the reconstruction of the turbulence profile in the atmosphere, is a challenging task for adaptive optics (AO) systems for the next generation of extremely large telescopes. Within the AO community, the solver of first choice is the so-call...

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150 research outcomes, page 1 of 15