Add to ORKGPseudospectral Methods based on global polynomial approxima-tion yield exponential accuracy when the underlying function is ana-lytic. The presence of discontinuities destroys the extreme accuracy of the methods and the well-known Gibbs phenomenon appears. Sev-eral types of postprocessing methods have been developed to lessen the effects of the Gibbs phenomenon or even to restore spectral accuracy. The most powerful of the methods require that the locations of the dis-continuities be precisely known. In this work we discuss postprocessing algorithms that are applicable when it is impractical, or difficult, or undesirable to pinpoint all discontinuity locations
Pseudospectral approximations in unbounded domains by Laguerre polynomials lead to ill-conditioned a...
We introduce a new class of exponentially accurate filters for processing piecewise smooth spectral ...
In this note, given a matrix A∈Cn×n (or a general matrix polynomial P(z), z∈C) and an arbitrary scal...
Under the governing equations of Hyperbolic Heat Transfer thermal disturbances travel with a finite ...
A postprocessing technique to improve the accuracy of Galerkin methods, when applied to dissipative ...
Abstract. Polynomial approximations of computationally intensive models are central to uncertainty q...
The accuracy of adaptively chosen, mapped polynomial approximations is studied for functions with st...
Edge detection from a finite number of Fourier coefficients is challenging as it requires extracting...
AbstractWe are concerned with the problem of recovering edges of piecewise smooth functions with fin...
Global polynomial approximation methods applied to piecewise continuous functions exhibit the well-k...
Abstract. The pseudospectra of a matrix polynomial P (λ) are sets of complex numbers that are eigenv...
In many applications it is important to sensitivity of eigenvalues of a matrix polynomial polynomial...
Abstract. We introduce a new class of exponentially accurate filters for processing piecewise smooth...
Pseudospectral approximations in unbounded domains by Laguerre polynomials lead to ill-conditioned a...
We are concerned with the problem of recovering edges of piecewise smooth functions with finitely ma...
Pseudospectral approximations in unbounded domains by Laguerre polynomials lead to ill-conditioned a...
We introduce a new class of exponentially accurate filters for processing piecewise smooth spectral ...
In this note, given a matrix A∈Cn×n (or a general matrix polynomial P(z), z∈C) and an arbitrary scal...
Under the governing equations of Hyperbolic Heat Transfer thermal disturbances travel with a finite ...
A postprocessing technique to improve the accuracy of Galerkin methods, when applied to dissipative ...
Abstract. Polynomial approximations of computationally intensive models are central to uncertainty q...
The accuracy of adaptively chosen, mapped polynomial approximations is studied for functions with st...
Edge detection from a finite number of Fourier coefficients is challenging as it requires extracting...
AbstractWe are concerned with the problem of recovering edges of piecewise smooth functions with fin...
Global polynomial approximation methods applied to piecewise continuous functions exhibit the well-k...
Abstract. The pseudospectra of a matrix polynomial P (λ) are sets of complex numbers that are eigenv...
In many applications it is important to sensitivity of eigenvalues of a matrix polynomial polynomial...
Abstract. We introduce a new class of exponentially accurate filters for processing piecewise smooth...
Pseudospectral approximations in unbounded domains by Laguerre polynomials lead to ill-conditioned a...
We are concerned with the problem of recovering edges of piecewise smooth functions with finitely ma...
Pseudospectral approximations in unbounded domains by Laguerre polynomials lead to ill-conditioned a...
We introduce a new class of exponentially accurate filters for processing piecewise smooth spectral ...
In this note, given a matrix A∈Cn×n (or a general matrix polynomial P(z), z∈C) and an arbitrary scal...