Add to ORKGSpectral collocation and reconstruction methods have been widely studied for periodic functions using Fourier expansions. We investigate the use of modified Fourier series for the approximation and collocation of $d$-variate non-periodic functions with frequency support on a hyperbolic cross. We show that rank-$1$ lattice points can be used as collocation points in the approximation of non-periodic functions and these lattice points can be constructed by a component-by-component algorithm.status: publishe
Abstract. Algorithms and underlying mathematics are presented for numerical computation with periodi...
Abstract. Algorithms and underlying mathematics are presented for numerical computation with periodi...
Modified Fourier expansions present an alternative to more standard algorithms for the approximation...
We address two aspects in the approximation of non-periodic functions: spectral collocation and func...
We investigate the use of cosine series for the approximation of multivariate non-periodic functions...
Lattice rules for numerical integration were introduced by Korobov \cite{Kor59}. They were construct...
Tractability of high-dimensional approximation of periodic functions using lattice rules has been st...
Spectral collocation and reconstruction methods have been widely studied for periodic functions usin...
Lattice rules for numerical integration were introduced by Korobov in 1959. They were constructed to...
We consider rank-1 lattices for integration and reconstruction of functions with series expansion su...
We consider rank-1 lattices for integration and reconstruction of functions with series expansion su...
We develop algorithms for multivariate integration and approximation in the weighted half-period cos...
We obtain exponentially accurate Fourier series for non-periodic functions on the interval [-1,1] by...
We develop algorithms for multivariate integration and approximation in the weighted half-period cos...
Abstract. We obtain exponentially accurate Fourier series for nonperiodic functions on the interval ...
Abstract. Algorithms and underlying mathematics are presented for numerical computation with periodi...
Abstract. Algorithms and underlying mathematics are presented for numerical computation with periodi...
Modified Fourier expansions present an alternative to more standard algorithms for the approximation...
We address two aspects in the approximation of non-periodic functions: spectral collocation and func...
We investigate the use of cosine series for the approximation of multivariate non-periodic functions...
Lattice rules for numerical integration were introduced by Korobov \cite{Kor59}. They were construct...
Tractability of high-dimensional approximation of periodic functions using lattice rules has been st...
Spectral collocation and reconstruction methods have been widely studied for periodic functions usin...
Lattice rules for numerical integration were introduced by Korobov in 1959. They were constructed to...
We consider rank-1 lattices for integration and reconstruction of functions with series expansion su...
We consider rank-1 lattices for integration and reconstruction of functions with series expansion su...
We develop algorithms for multivariate integration and approximation in the weighted half-period cos...
We obtain exponentially accurate Fourier series for non-periodic functions on the interval [-1,1] by...
We develop algorithms for multivariate integration and approximation in the weighted half-period cos...
Abstract. We obtain exponentially accurate Fourier series for nonperiodic functions on the interval ...
Abstract. Algorithms and underlying mathematics are presented for numerical computation with periodi...
Abstract. Algorithms and underlying mathematics are presented for numerical computation with periodi...
Modified Fourier expansions present an alternative to more standard algorithms for the approximation...