Browse by Subject "numerical analysis"

  • Bell, William N. (2008-08)
    Discrete dierential forms arise in scientic disciplines ranging from computational electromagnetics to computer graphics. Examples include stable discretizations of the eddy-current problem, topological methods for sensor ...

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  • Boronat, Artur; Meseguer, Jose (2008-08)
    In the denition of domain-specic languages a MOF metamodel is used to dene the main types of its abstract syntax, and OCL invariants are used to add semantic constraints. The semantics of a metamodel denition can be given ...

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  • Wolf, Michael M.; Heath, Michael T. (2009-02)
    It has been shown that combinatorial optimization of matrix-vector multiplication can lead to faster evaluation of finite element stiffness matrices. Based on a graph model characterizing relationships between rows, an ...

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  • Newmark, N.M.; Chan, S.P. (University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign., 1952-10)

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  • Jossey, John; Hirani, Anil N. (2007-09)
    We show that if a numerical method is posed as a sequence of operators acting on data and depending on a parameter, typically a measure of the size of discretization, then consistency, convergence and stability can be ...

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  • Hirani, Anil N.; Nakshatrala, K.B.; Chaudhry, J.H. (2008-02)
    We derive a numerical method for Darcy flow, hence also for Poisson's equation in first order form, based on discrete exterior calculus (DEC). Exterior calculus is a generalization of vector calculus to smooth manifolds ...

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  • Lam, Vinh V. (2011-05-25)
    Reliability and dependability modeling can be employed during many stages of analysis of a computing system to gain insights into its critical behaviors. To provide useful results, realistic models of systems are often ...

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  • Colombi, Andrew C. (2008-08)
    Numerical integration of ordinary differential equations resulting from the gravitation of nearby celestial small bodies is the subject of this thesis. We present three methods that alleviate the computational burden of ...

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  • Liao, Kai-Pin (2014-05-30)
    Edge flames are fundamental flame structures essential to the description of flame hole dynamics in turbulent combustion and the stabilization of lifted jet flames. In this thesis we concentrate on the role of boundary ...

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  • VanderZee, Evan; Hirani, Anil N.; Guoy, Damrong (2008-06)
    A completely well-centered tetrahedral mesh is a triangulation of a three dimensional domain in which every tetrahedron and every triangle contains its circumcenter in its interior. Such meshes have applications in scientific ...

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