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  • 1
    Publication Date: 2018-05-17
    Print ISSN: 0277-6715
    Electronic ISSN: 1097-0258
    Topics: Mathematics , Medicine
    Published by Wiley
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  • 2
    Publication Date: 2016-03-09
    Description: Recent advances in FEM techniques and applications are discussed in reviews and reports presented at the ICASE/LaRC workshop held in Hampton, VA in July 1986. Topics addressed include FEM approaches for partial differential equations, mixed FEMs, singular FEMs, FEMs for hyperbolic systems, iterative methods for elliptic finite-element equations on general meshes, mathematical aspects of FEMS for incompressible viscous flows, and gradient weighted moving finite elements in two dimensions. Consideration is given to adaptive flux-corrected FEM transport techniques for CFD, mixed and singular finite elements and the field BEM, p and h-p versions of the FEM, transient analysis methods in computational dynamics, and FEMs for integrated flow/thermal/structural analysis.
    Keywords: NUMERICAL ANALYSIS
    Format: text
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  • 3
    Publication Date: 2019-06-28
    Description: This is a bibliography of numerical methods. It also includes a number of other references on machine architecture, programming language, and other topics of interest to scientific computing. Certain conference proceedings and anthologies which have been published in book form are listed also.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
    Type: NASA-CR-178335 , NAS 1.26:178335 , ICASE-IR-3
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  • 4
    Publication Date: 2019-06-28
    Description: The present status of numerical methods for partial differential equations on vector and parallel computers was reviewed. The relevant aspects of these computers are discussed and a brief review of their development is included, with particular attention paid to those characteristics that influence algorithm selection. Both direct and iterative methods are given for elliptic equations as well as explicit and implicit methods for initial boundary value problems. The intent is to point out attractive methods as well as areas where this class of computer architecture cannot be fully utilized because of either hardware restrictions or the lack of adequate algorithms. Application areas utilizing these computers are briefly discussed.
    Keywords: COMPUTER PROGRAMMING AND SOFTWARE
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  • 5
    Publication Date: 2019-06-28
    Description: A methodology is described for developing a parallel system using a top down approach taking into account the requirements of the user. Substructuring, a popular technique in structural analysis, is used to illustrate this approach.
    Keywords: COMPUTER SYSTEMS
    Type: NASA-CR-172219 , NASA-ICASE-83-33 , NAS 1.26:172219
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  • 6
    Publication Date: 2019-06-28
    Description: Recent and potential applications of spectral method computation to incompressible, dissipative magnetohydrodynamics are surveyed. Linear stability problems for one dimensional, quasi-equilibria are approachable through a close analogue of the Orr-Sommerfeld equation. It is likely that for Reynolds-like numbers above certain as-yet-undetermined thresholds, all magnetofluids are turbulent. Four recent effects in MHD turbulence are remarked upon, as they have displayed themselves in spectral method computations: (1) inverse cascades; (2) small-scale intermittent dissipative structures; (3) selective decays of ideal global invariants relative to each other; and (4) anisotropy induced by a mean dc magnetic field. Two more conjectured applications are suggested. All the turbulent processes discussed are sometimes involved in current carrying confined fusion magnetoplasmas and in space plasmas.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-173665 , NAS 1.26:173665
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  • 7
    Publication Date: 2019-06-27
    Description: Recently two dissection algorithms (one-way and incomplete nested dissection) have been developed for solving the sparse positive definite linear systems arising from n by n grid problems. Concurrently, vector computers (such as the CDC STAR-100 and TI ASC) have been developed for large scientific applications. An analysis of the use of dissection algorithms on vector computers dictates that vectors of maximum length be utilized thereby implying little or no dissection; on the other hand, minimizing operation counts suggest that considerable dissection be performed. In this paper we discuss the resolution of this conflict by minimizing the total time required by vectorized versions of the two algorithms.
    Keywords: COMPUTER OPERATIONS AND HARDWARE
    Type: Computers and Mathematics with Applications; 4; 4, 19; 1978
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  • 8
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    In:  CASI
    Publication Date: 2019-06-28
    Description: Four paradigms that can be useful in developing parallel algorithms are discussed. These include computational complexity analysis, changing the order of computation, asynchronous computation, and divide and conquer. Each is illustrated with an example from scientific computation, and it is shown that computational complexity must be used with great care or an inefficient algorithm may be selected.
    Keywords: NUMERICAL ANALYSIS
    Type: NASA-CR-172516 , ICASE-85-2 , NAS 1.26:172516
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  • 9
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    In:  Other Sources
    Publication Date: 2019-06-27
    Description: Orders of convergence for iterative procedures for finding zero of nonlinear function, considering secant and Steffenson method
    Keywords: MATHEMATICS
    Type: ; VIGATION (
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  • 10
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    In:  Other Sources
    Publication Date: 2019-06-27
    Description: Convergence rates of multistep iterative procedures for finding zero of nonlinear function defined on R to nth power
    Keywords: MATHEMATICS
    Type: ; YSICA STATUS SOLIDI
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