This review covers the theory and application of spectral collocation methods. Section 1 describes the fundamentals, and summarizes results pertaining to spectral approximations of functions. Some stability and convergence results are presented for simple elliptic, parabolic, and hyperbolic equations. Applications of these methods to fluid dynamics problems are discussed in Section 2
This monograph presents fundamental aspects of modern spectral and other computational methods, whic...
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become fir...
Spectral collocation methods have proven to be efficient discretization schemes for many aerodynamic...
Fundamental aspects of spectral methods are introduced. Recent developments in spectral methods are ...
Origins of spectral methods, especially their relation to the Method of Weighted Residuals, are surv...
An outline for spectral methods for partial differential equations is presented. The basic spectral ...
AbstractWe review the current state of Fourier and Chebyshev collocation methods for the solution of...
This paper is solely devoted to spectral iterative methods including spectral multigrid methods. The...
Spectral methods, particularly in their multidomain version, have become firmly established as a mai...
Spectral methods, particularly in their multidomain version, have become firmly established as a mai...
One of the objectives of these notes is to provide a basic introduction to spectral methods with a p...
Spectral methods, particularly in their multidomain version, have become firmly established as a mai...
We review spectral methods for the solution of hyperbolic problems. To keep the discussion concise, ...
Report developments in the application of spectral methods to two dimensional compressible flows are...
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become fir...
This monograph presents fundamental aspects of modern spectral and other computational methods, whic...
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become fir...
Spectral collocation methods have proven to be efficient discretization schemes for many aerodynamic...
Fundamental aspects of spectral methods are introduced. Recent developments in spectral methods are ...
Origins of spectral methods, especially their relation to the Method of Weighted Residuals, are surv...
An outline for spectral methods for partial differential equations is presented. The basic spectral ...
AbstractWe review the current state of Fourier and Chebyshev collocation methods for the solution of...
This paper is solely devoted to spectral iterative methods including spectral multigrid methods. The...
Spectral methods, particularly in their multidomain version, have become firmly established as a mai...
Spectral methods, particularly in their multidomain version, have become firmly established as a mai...
One of the objectives of these notes is to provide a basic introduction to spectral methods with a p...
Spectral methods, particularly in their multidomain version, have become firmly established as a mai...
We review spectral methods for the solution of hyperbolic problems. To keep the discussion concise, ...
Report developments in the application of spectral methods to two dimensional compressible flows are...
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become fir...
This monograph presents fundamental aspects of modern spectral and other computational methods, whic...
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become fir...
Spectral collocation methods have proven to be efficient discretization schemes for many aerodynamic...