Search Results - "Numerical analysis in abstract spaces"
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The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement
ISSN: 0377-0427, 1879-1778Published: Kidlington Elsevier B.V 01.12.2010Published in Journal of computational and applied mathematics (01.12.2010)“…A numerical technique is presented for the solution of a parabolic partial differential equation with a time-dependent coefficient subject to an extra measurement…”
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Artificial viscosity proper orthogonal decomposition
ISSN: 0895-7177, 1872-9479Published: Kidlington Elsevier Ltd 2011Published in Mathematical and computer modelling (2011)“… This is the subject of a forthcoming report…”
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Finite volume method for solving a one-dimensional parabolic inverse problem
ISSN: 0096-3003, 1873-5649Published: Amsterdam Elsevier Inc 15.02.2011Published in Applied mathematics and computation (15.02.2011)“…In this paper, finite volume method is used to solve a one-dimensional parabolic inverse problem with source term and Neumann boundary conditions for the first…”
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The spiral of Theodorus, numerical analysis, and special functions
ISSN: 0377-0427, 1879-1778Published: Kidlington Elsevier B.V 15.12.2010Published in Journal of computational and applied mathematics (15.12.2010)“… , … . The subject of this lecture is the problem of interpolating this discrete, angular spiral by a smooth, if possible analytic, spiral…”
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Global Uniqueness and Stability in Determining the Damping Coefficient of an Inverse Hyperbolic Problem with NonHomogeneous Neumann B.C. through an Additional Dirichlet Boundary Trace
ISSN: 0036-1410, 1095-7154Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011Published in SIAM journal on mathematical analysis (01.01.2011)“…=\overline{\Gamma_0\cup\Gamma_1}$, $\Gamma_0\cap\Gamma_1=\emptyset$, subject to nonhomogeneous Neumann boundary conditions on the entire boundary $\Gamma…”
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A Smooth Regularization of the Projection Formula for Constrained Parabolic Optimal Control Problems
ISSN: 0163-0563, 1532-2467Published: Philadelphia, PA Taylor & Francis Group 01.12.2011Published in Numerical functional analysis and optimization (01.12.2011)“… We summarize the optimality conditions in function spaces for unconstrained and control-constrained problems subject to a class of parabolic partial differential equations…”
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Identification of Transport Coefficient Models in Convection-Diffusion Equations
ISSN: 1064-8275, 1095-7197Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2011Published in SIAM journal on scientific computing (01.01.2011)“…A rigorous method is presented for the systematic identification of the structure and the parameters of transport coefficient models in three-dimensional,…”
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Bifurcation analysis of delay-induced periodic oscillations
ISSN: 0377-0427, 1879-1778Published: Kidlington Elsevier B.V 01.03.2010Published in Journal of computational and applied mathematics (01.03.2010)“…In this paper we consider a generic differential equation with a cubic nonlinearity and delay. This system, in the absence of delay, is known to undergo an…”
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The Loss Rank Criterion for Variable Selection in Linear Regression Analysis
ISSN: 0303-6898, 1467-9469Published: Oxford, UK Blackwell Publishing Ltd 01.09.2011Published in Scandinavian journal of statistics (01.09.2011)“…Lasso and other regularization procedures are attractive methods for variable selection, subject to a proper choice of shrinkage parameter…”
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Analysis of numerical schemes of a mathematical model for sickle cell depolymerization
ISSN: 0096-3003, 1873-5649Published: Amsterdam Elsevier Inc 01.05.2010Published in Applied mathematics and computation (01.05.2010)“… Two nonstandard finite difference (NSFD) schemes are proposed and analyzed; one is shown to be stable subject to a predictable bound on step size, while the second…”
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A Fast Method for Finding the Global Solution of the Regularized Structured Total Least Squares Problem for Image Deblurring
ISSN: 0895-4798, 1095-7162Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2008Published in SIAM journal on matrix analysis and applications (01.01.2008)“…}$ are subject to noise, the total least squares (TLS) problem seeks to find a correction matrix and a correction right-hand side vector of minimal norm which makes the linear system feasible…”
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On Landweber iteration for nonlinear ill-posed problems in Hilbert scales
ISSN: 0029-599X, 0945-3245Published: Heidelberg Springer 01.04.2000Published in Numerische Mathematik (01.04.2000)Get full text
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A finite difference method for a non-local boundary value problem for two-dimensional heat equation
ISSN: 0096-3003, 1873-5649Published: New York, NY Elsevier Inc 01.06.2000Published in Applied mathematics and computation (01.06.2000)“…A second-order finite difference scheme is given for the numerical solution of a two-dimensional non-local boundary value problem for heat equation. Using a…”
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An iterative multi level algorithm for solving nonlinear ill-posed problems
ISSN: 0029-599X, 0945-3245Published: Heidelberg Springer 01.10.1998Published in Numerische Mathematik (01.10.1998)Get full text
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A Numerical Scheme for Impact Problems I: The One-Dimensional Case
ISSN: 0036-1429Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2003Published in SIAM journal on numerical analysis (01.01.2003)“… The representative point is subject to the constraint$u(t) \in \mathbb{R}^+$for all t. We assume that, at impact, the velocity is reversed and multiplied by a given coefficient of restitution$e \in [0, 1…”
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A Numerical Scheme for Impact Problems II: The Multidimensional Case
ISSN: 0036-1429Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.01.2003Published in SIAM journal on numerical analysis (01.01.2003)“… The system is not necessarily Lagrangian. The representative point is subject to a constraint…”
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Approximations to fixed points of contraction semigroups in hilbert spaces
ISSN: 0163-0563, 1532-2467Published: Philadelphia, PA Marcel Dekker, Inc 01.01.1998Published in Numerical functional analysis and optimization (01.01.1998)“…Sequences (or curves) are constructed to approximate common fixed points of a pair of nonex-pansive mappings (or contraction semigroups) in Hilbert spaces. The…”
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Projected Hessian Updating Algorithms for Nonlinearly Constrained Optimization
ISSN: 0036-1429, 1095-7170Published: Philadelphia, PA Society for Industrial and Applied Mathematics 01.10.1985Published in SIAM journal on numerical analysis (01.10.1985)“…We consider the problem of minimizing a smooth function of n variables subject to m smooth equality constraints…”
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A multi-level algorithm for the solution of moment problems
ISSN: 0163-0563, 1532-2467Published: Philadelphia, PA Marcel Dekker, Inc 01.01.1998Published in Numerical functional analysis and optimization (01.01.1998)“…We study numerical methods for the solution of general linear moment problems, where the solution belongs to a family of nested subspaces of a Hilbert space…”
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Finite element approximation of parabolic hemivariational inequalities
ISSN: 0163-0563, 1532-2467Published: Philadelphia, PA Marcel Dekker, Inc 01.01.1998Published in Numerical functional analysis and optimization (01.01.1998)“…In this paper we introduce a finite element approximation for a parabolic hemivariational initial boundary value problem. We prove that the approximate problem…”
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