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Showing 1 to 16 of 16 for “"Rational Approximation."”.
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Rational Approximation of Arbitrary Real Functions With Specified Weights
Made available in DSpace on 2014-12-04T21:03:17Z (GMT). No. of bitstreams: 1 6004002.pdf: 2677421 bytes, checksum: 2fce964b7aa7cda314c4b7b5c034a960 (MD5) Previous issue date: 1960
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Multivariate Rational Approximation in Action: From Data-driven Modeling to Nonlinear Eigenvalue Problems
… reduction techniques that rely on multivariate approximation methods as a fundamental tool. The investigated techniques aim to capture the complex behavior of physical systems based on given experimental measurements, simulation data, or the description of an underlying high-fidelity model. Many …
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Rational and harmonic approximation on F.P.A. sets
… <i>R</i>(<i>K</i>) is contained in the field of rational approximation. In a set of lecture notes, T. Gamelin [6] has shown a certain operator to be essential to the study of rational approximation. We study properties of this operator. Now let <i>K</i> be a compact subset of real …
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Consistent description of radiation damping in transient soil-structure interaction
… boundaries. The procedure is based on a rational approximation of the dynamic stiffness of the unbounded domain in the frequency-domain. In this report, the dynamic stiffness of the unbounded domain is obtained from the BEM. The matrix-valued coefficients of the rational approximation …
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Some Metric Theorems on Polynomials
The theory of metric Diophantine approximation can be studied from many di�erent perspectives. The problems studied in this thesis all concern questions on integer polynomials. Simultaneous rational approximation to integer polynomials is studied in the p-adic metric. Next, the nature of the …
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Approximation of Parametric Dynamical Systems
… parametric AAA (p-AAA) algorithm that builds a rational approximation of the underlying parametric dynamical system from its input/output measurements, in the form of transfer function evaluations. Our algorithm generalizes the AAA algorithm, a popular method for the rational approximation of …
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Fibonacci Sets In Discrepancy Theory and Numerical Integration
… of Dedekind Sums, we find the L2 discrepancy of rational approximation for the general irrational lattice and characterize the rational lattices for which the L2 discrepancy are optimal. We also introduce quartered Lp discrepancy and prove non-symmetrized Fibonacci Sets has optimal quartered Lp …
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Volterra Systems with Realizable Kernels
… be challenging at times; therefore, we propose a rational approximation approach to avoid the problem. That is, we approximate the transfer function by a rational function, construct the corresponding linear system, and then approximate the Volterra integro-differential equation. We show that our …
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Topology optimization with manufacturable multi-material primitives
… implements Heaviside Projection Method (HPM) and Rational Approximation of Material Properties (RAMP) method and employs the Method of Moving Asymptotes (MMA) as the gradient based optimizer. Three distinct object projection shapes are proposed, a horizontal, a vertical and a diagonal. The …
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On qualitative properties and convergence of time-discretization methods for semigroups
… a basic result on the rate of convergence of rational approximation schemes for semigroups. We obtain convergence results on a continuum of intermediate spaces between the Banach space <i>X</i> and the domain of a certain power of the generator of the semigroup. The sharpness of these results …
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Modeling and design of an active silicon cochlea
… the theoretical side, I first show that a simple rational approximation to distributed partition impedances in the biological cochlea captures its essential features and enables an efficient artificial implementation achieving maximum gain in a minimum number of stages while still maintaining …
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Analytical Methods For Levy Processes With Applications To Finance
… and for solving numerical integration and rational approximation problems. In the second part of the dissertation we prove that the exponential functional of a meromorphic Levy process is distributed like an infinite product of independent Beta random variables. We also identify the Mellin …
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Finite elements for higher-order problems in isogeometric analysis and statistical inference
… using recursive finite element computation and rational approximation. In addition to achieving improved scalability, we demonstrate the extension of the stochastic partial differential equation approach to non-Euclidean domains and the modelling of non-stationary and anisotropic Matérn random …
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Fast order-recursive Hermitian Toeplitz eigenspace techniques for array processing
… methods, a restricted Newton approach and a rational approximation based technique are considered. The eigenvectors are found by solving Toeplitz systems efficiently. The multiple minimum (generalized) eigenvalue case and the case of a cluster of small (generalized) eigenvalues are treated …
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Graph Neural Networks: Techniques and Applications
… Four methods are proposed, including rational neural networks for jump graph signal estimation, RemezNet for robust attribute prediction in the graph, ICNet for integrated circuit security, and CNF-Net for dynamic circuit deobfuscation. For the first method, a recent important …
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Parametric Dynamical Systems: Transient Analysis and Data Driven Modeling
… of the reduced model. Then, by assuming a rational form for the reduced model with poles both in the frequency and parameter domain, we derive necessary conditions for an optimal parametric reduced model in this joint error measure. Similar to the nonparametric case, Hermite interpolation …