Lutz Kämmerer

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 18

Top Topics

Basis Functions

Linear Approximation

Top Venues

Adv. Comput. Math.

J. Approx. Theory

Publications

Lutz Kämmerer
Constructing efficient spatial discretizations of spans of multivariate Chebyshev polynomials. CoRR (2024)
Felix Bartel, Lutz Kämmerer, Daniel Potts, Tino Ullrich
On the reconstruction of functions from values at subsampled quadrature points. Math. Comput. 93 (346) (2023)
Lutz Kämmerer, Daniel Potts, Fabian Taubert
Nonlinear approximation in bounded orthonormal product bases. CoRR (2022)
Lutz Kämmerer, Felix Krahmer, Toni Volkmer
A sample efficient sparse FFT for arbitrary frequency candidate sets in high dimensions. Numer. Algorithms 89 (4) (2022)
Felix Bartel, Lutz Kämmerer, Daniel Potts, Tino Ullrich
On the reconstruction of functions from values at subsampled quadrature points. CoRR (2022)
Craig Gross, Mark A. Iwen, Lutz Kämmerer, Toni Volkmer
A deterministic algorithm for constructing multiple rank-1 lattices of near-optimal size. Adv. Comput. Math. 47 (6) (2021)
Lutz Kämmerer, Daniel Potts, Fabian Taubert
The uniform sparse FFT with application to PDEs with random coefficients. CoRR (2021)
Lutz Kämmerer, Felix Krahmer, Toni Volkmer
A sample efficient sparse FFT for arbitrary frequency candidate sets in high dimensions. CoRR (2020)
Lutz Kämmerer
A fast probabilistic component-by-component construction of exactly integrating rank-1 lattices and applications. CoRR (2020)
Craig Gross, Mark A. Iwen, Lutz Kämmerer, Toni Volkmer
Sparse Fourier Transforms on Rank-1 Lattices for the Rapid and Low-Memory Approximation of Functions of Many Variables. CoRR (2020)
Maximilian Bochmann, Lutz Kämmerer, Daniel Potts
A sparse FFT approach for ODE with random coefficients. Adv. Comput. Math. 46 (4) (2020)
Craig Gross, Mark A. Iwen, Lutz Kämmerer, Toni Volkmer
A Deterministic Algorithm for Constructing Multiple Rank-1 Lattices of Near-Optimal Size. CoRR (2020)
Lutz Kämmerer, Toni Volkmer
Approximation of multivariate periodic functions based on sampling along multiple rank-1 lattices. J. Approx. Theory 246 (2019)
Lutz Kämmerer
Approximation in the Worst-Case Setting. CoRR (2019)
Lutz Kämmerer, Tino Ullrich, Toni Volkmer
Worst case recovery guarantees for least squares approximation using random samples. CoRR (2019)
Glenn Byrenheid, Lutz Kämmerer, Tino Ullrich, Toni Volkmer
Tight error bounds for rank-1 lattice sampling in spaces of hybrid mixed smoothness. Numerische Mathematik 136 (4) (2017)
Lutz Kämmerer, Daniel Potts, Toni Volkmer
Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling. J. Complex. 31 (4) (2015)
Lutz Kämmerer, Daniel Potts, Toni Volkmer
Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank-1 lattice with generating vector of Korobov form. J. Complex. 31 (3) (2015)
Lutz Kämmerer
Reconstructing Hyperbolic Cross Trigonometric Polynomials by Sampling along Rank-1 Lattices. SIAM J. Numer. Anal. 51 (5) (2013)
Lutz Kämmerer, Stefan Kunis, Daniel Potts
Interpolation lattices for hyperbolic cross trigonometric polynomials. J. Complex. 28 (1) (2012)
Lutz Kämmerer, Stefan Kunis
On the stability of the hyperbolic cross discrete Fourier transform. Numerische Mathematik 117 (3) (2011)