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    MOC
    2002
    82views more  MOC 2002»
    Lie symmetries and differential Galois groups of linear equations
    13 years 11 months ago
    Lie symmetries and differential Galois groups of linear equations
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    For a linear ordinary differential equation the Lie algebra of its infinitesimal Lie symmetries is compared with its differential Galois group. For this purpose an algebraic formul...
    W. R. Oudshoorn, M. van der Put
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    MOC
    2002
    148views more  MOC 2002»
    Convergence of an iterative algorithm for solving Hamilton-Jacobi type equations
    13 years 11 months ago
    Convergence of an iterative algorithm for solving Hamilton-Jacobi type equations
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    Abstract. Solutions of the optimal control and H-control problems for nonlinear affine systems can be found by solving Hamilton-Jacobi equations. However, these first order nonline...
    Jerry Markman, I. Norman Katz
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    MOC
    2002
    70views more  MOC 2002»
    Positivity preserving finite element approximation
    13 years 11 months ago
    Positivity preserving finite element approximation
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    We consider finite element operators defined on "rough" functions in a bounded polyhedron in RN . Insisting on preserving positivity in the approximations, we discover a...
    Ricardo H. Nochetto, Lars B. Wahlbin
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    MOC
    2002
    103views more  MOC 2002»
    Computation of class numbers of quadratic number fields
    13 years 11 months ago
    Computation of class numbers of quadratic number fields
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    We explain how one can dispense with the numerical computation of approximations to the transcendental integral functions involved when computing class numbers of quadratic number ...
    Stéphane Louboutin
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    MOC
    2002
    78views more  MOC 2002»
    A geometric theory for preconditioned inverse iteration applied to a subspace
    13 years 11 months ago
    A geometric theory for preconditioned inverse iteration applied to a subspace
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    ABSTRACT. The aim of this paper is to provide a convergence analysis for a preconditioned subspace iteration, which is designated to determine a modest number of the smallest eigen...
    Klaus Neymeyr
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    MOC
    2002
    101views more  MOC 2002»
    On the stability of a family of finite element methods for hyperbolic problems
    13 years 11 months ago
    On the stability of a family of finite element methods for hyperbolic problems
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    We consider a family of tensor product finite element methods for hyperbolic equations in RN , N 2, which are explicit and generate a continuous approximate solution. The base cas...
    Gerard R. Richter
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    MOC
    2002
    77views more  MOC 2002»
    Directional Newton methods in n variables
    13 years 11 months ago
    Directional Newton methods in n variables
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    Directional Newton methods for functions f of n variables are shown to converge, under standard assumptions, to a solution of f(x) = 0. The rate of convergence is quadratic, for ne...
    Yuri Levin, Adi Ben-Israel
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    MOC
    2002
    92views more  MOC 2002»
    Asymptotic properties of the spectral test, diaphony, and related quantities
    13 years 11 months ago
    Asymptotic properties of the spectral test, diaphony, and related quantities
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    This paper presents the limit laws of discrepancies defined via exponential sums, and algorithms (with error bounds) to approximate the corresponding distribution functions. The re...
    Hannes Leeb
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    MOC
    2002
    108views more  MOC 2002»
    Newton-like method with modification of the right-hand-side vector
    13 years 11 months ago
    Newton-like method with modification of the right-hand-side vector
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    This paper proposes a new Newton-like method which defines new iterates using a linear system with the same coefficient matrix in each iterate, while the correction is performed on...
    Natasa Krejic, Zorana Luzanin
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    MOC
    2002
    89views more  MOC 2002»
    Asymptotic estimation of Gaussian quadrature error for a nonsingular integral in potential theory
    13 years 11 months ago
    Asymptotic estimation of Gaussian quadrature error for a nonsingular integral in potential theory
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    This paper considers the n-point Gauss-Jacobi approximation of nonsingular integrals of the form 1 -1
    David M. Hough
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