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Showing 1 to 6 of 6 for “"Spectral Approximation"”.
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Spectral approximation by the polar transformation
… and opposite convexity. For such cases the spectral approximations provide both upper and lower bounds for the entire discrete spectrum. The example of the central potential $V(r)=ar\sp2+br\sp2/(1+cr\sp2)$ in $R\sp3$ is studied in detail: optimal bounds are determined for a wide range of the …
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Fast algorithms for Brownian dynamics simulation with hydrodynamic interactions
… which are all based on the Krylov subspace approximations, that is, replacing [square root]Dv by p(D)v with p(D) a low degree polynomial in D. We first show rigorously that the popular Chebyshev spectral approximation method (see, for example, [5, 6]) requires [square root][kappa] log …
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A Variational Approach to Estimating Uncertain Parameters in Elliptic Systems
… as well as first order necessary conditions. A spectral approximation of the uncertain observations (via a truncated Karhunen-Loeve expansion) allows us to estimate the infinite dimensional problem by a smooth, albeit high dimensional, deterministic optimization problem, the so-called 'finite …
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A multidomain spectral method for computational aeroacoustics
… are obtained by integration. A multidomain spectral method is used to discretize the space terms. Complex geometries are handled by the use of unstructured grids of non-overlapping hexahedra that may have curved boundaries. An isoparametric mapping is used to transform each hexahedron on the …
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New tools for Bayesian optimal experimental design and kernel-based generative modeling
… random selection strategies and Gaussian approximations in many settings, including challenging nonlinear design problems with non-additive noise. In the second part of the thesis, we turn our attention to generative modeling, which can be understood as the problem of drawing new samples …
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Discrete Sparse Fourier Hermite Approximations in High Dimensions
… the discrete sparse Fourier Hermite approximation of a function in a specified Hilbert space of arbitrary dimension is defined, and theoretical error bounds of the numerically computed approximation are proven. Computing the Fourier Hermite approximation in high dimensions suffers …