Frames and Numerical Approximation (Q5232350)

scientific article; zbMATH DE number 7100495

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English	Frames and Numerical Approximation	scientific article; zbMATH DE number 7100495

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instance of

scholarly article

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title

Frames and Numerical Approximation (English)

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2 September 2019

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full work available at URL

https://arxiv.org/abs/1612.04464

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zbMATH Keywords

frames

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function approximation

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ill-conditioning

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singular value decomposition

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MaRDI profile type

MaRDI publication profile

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cites work

Convergence acceleration of modified Fourier series in one or more dimensions

0 references

A generalized sampling theorem for stable reconstructions in arbitrary bases

0 references

Generalized sampling and infinite-dimensional compressed sensing

0 references

Beyond Consistent Reconstructions: Optimality and Sharp Bounds for Generalized Sampling, and Application to the Uniform Resampling Problem

0 references

On the resolution power of Fourier extensions for oscillatory functions

0 references

Frames and numerical approximation. II: Generalized sampling

0 references

On the numerical stability of Fourier extensions

0 references

Parameter selection and numerical approximation properties of Fourier extensions from fixed data

0 references

A spectral FC solver for the compressible Navier-Stokes equations in general domains. I: Explicit time-stepping

0 references

A Guide to Localized Frames and Applications to Galerkin-Like Representations of Operators

0 references

The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier

0 references

Q4863700

0 references

Fourier embedded domain methods: Extending a function defined on an irregular region to a rectangle so that the extension is spatially periodic and \(C^{\infty}\)

0 references

A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds

0 references

High-order unconditionally stable FC-AD solvers for general smooth domains. I: Basic elements

0 references

Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis

0 references

Ridgelets: a key to higher-dimensional intermittency?

0 references

New tight frames of curvelets and optimal representations of objects with piecewise <i>C</i><sup>2</sup> singularities

0 references

Compressed sensing with coherent and redundant dictionaries

0 references

The art of frame theory

0 references

Q4240902

0 references

Approximation of the inverse frame operator and applications to Gabor frames

0 references

Finite frames. Theory and applications.

0 references

Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities

0 references

Recovering exponential accuracy in Fourier spectral methods involving piecewise smooth functions with unbounded derivative singularities

0 references

Frames and the projection method

0 references

Frames containing a Riesz basis and approximation of the frame coefficients using finite-dimensional methods

0 references

Finite-dimensional approximation of the inverse frame operator

0 references

An introduction to frames and Riesz bases

0 references

Q2762590

0 references

The finite section method and problems in frame theory

0 references

Adaptive frame methods for elliptic operator equations

0 references

Geometry of the Welch bounds

0 references

Ten Lectures on Wavelets

0 references

Painless nonorthogonal expansions

0 references

Spectral pollution

0 references

A Class of Nonharmonic Fourier Series

0 references

Accurate and Efficient Reconstruction of Discontinuous Functions from Truncated Series Expansions

0 references

Q4895893

0 references

Steiner equiangular tight frames

0 references

Intrinsic localization of frames

0 references

Localization of frames, Banach frames, and the invertibility of the frame operator

0 references

Convergence analysis of the finite section method and Banach algebras of matrices

0 references

On the approximation of spectra of linear operators on Hilbert spaces

0 references

On the Solvability Complexity Index, the 𝑛-pseudospectrum and approximations of spectra of operators

0 references

A high frequency boundary element method for scattering by a class of nonconvex obstacles

0 references

Duration and bandwidth limiting. Prolate functions, sampling, and applications.

0 references

On the Fourier Extension of Nonperiodic Functions

0 references

Euler-Maclaurin and Gregory interpolants

0 references

Analysis of Fictitious Domain Approximations of Hard Scatterers

0 references

Shearlets. Multiscale analysis for multivariate data.

0 references

Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty-III: The Dimension of the Space of Essentially Time- and Band-Limited Signals

0 references

Spectral pollution and how to avoid it

0 references

Q5394312

0 references

Spectral domain embedding for elliptic PDEs in complex domains

0 references

Approximation error in regularized SVD-based Fourier continuations

0 references

A Fast Algorithm for Fourier Continuation

0 references

High-order unconditionally stable FC-AD solvers for general smooth domains. II: Elliptic, parabolic and hyperbolic PDEs; theoretical considerations

0 references

Q3634482

0 references

Fast Algorithms for the Computation of Fourier Extensions of Arbitrary Length

0 references

Function Approximation on Arbitrary Domains Using Fourier Extension Frames

0 references

Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on Regularization

0 references

A spectral embedding method applied to the advection-diffusion equation

0 references

Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates

0 references

Equiangular tight frames from Paley tournaments

0 references

A sharp-interface active penalty method for the incompressible Navier-Stokes equations

0 references

Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case

0 references

A High-Dimensional Inverse Frame Operator Approximation Technique

0 references

Approximating the inverse frame operator from localized frames

0 references

Immersed boundary smooth extension: a high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods

0 references

Adaptive Solution of Operator Equations Using Wavelet Frames

0 references

Numerical analysis of non-uniform sampling problem

0 references

A note on equiangular tight frames

0 references

On the existence of equiangular tight frames

0 references

Local frames and noise reduction

0 references

Q4904857

0 references

Identifiers

zbMATH Open document ID

1421.42015

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DOI

10.1137/17M1114697

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5232350