• # Differentiation Matrix Suite

• Referenced in 254 articles [sw12762]
• solving differential equations by the spectral collocation (i.e., pseudospectral) method is presented. It includes functions ... computing derivatives of arbitrary order corresponding to Chebyshev, Hermite, Laguerre, Fourier, and sinc interpolants. Auxiliary...
• # SIMSON

• Referenced in 43 articles [sw13385]
• software package that implements an efficient spectral integration technique to solve the Navier-Stokes equations ... using Chebyshev series. Time integration is performed using a third order Runge-Kutta method ... Fourier-Chebyshev method used by Kim et al. (1987). Further details about spectral discretizations...
• # SSPS

• Referenced in 5 articles [sw13163]
• Spectral Signal Processing Suite (SSPS), version 1.0, is for the purpose of increasing the accuracy ... discrete Chebyshev approximations of discontinuous functions by reducing or eliminating the Gibbs-Wilbraham phenomenon ... implement a postprocessing method for the Chebyshev Collocation (Pseudospectral) or Chebyshev Spectral Viscosity methods...
• # HOLOMAC

• Referenced in 14 articles [sw18067]
• assumption, with detailed chemistry and a quasi-spectral accuracy. The temporal integration of the equations ... solved with a Runge-Kutta-Chebyshev method. The spatial discretisation is performed with high-order ... schemes, and a FFT based constant-coefficient spectral solver is employed to solve a variable...
• # Algorithm 882

• Referenced in 10 articles [sw10147]
• Pole Rational Interpolation with Applications in Spectral Methods. We present a numerical procedure to compute ... nodes and weights in rational Gauss-Chebyshev quadrature formulas. Under certain conditions on the poles ... prescribed poles (in the same sense that Chebyshev points are near best for polynomial interpolation ... interior boundary layer using a rational spectral method. The algorithm to compute the interpolation points...
• # SingularIntegralEquations

• Referenced in 10 articles [sw22771]
• spectral method for solving univariate singular integral equations over unions of intervals by utilizing Chebyshev ... Helmholtz and gravity Helmholtz equations, including spectrally accurate numerical evaluation of the far- and near ... Julia software package ‘SingularIntegralEquations.jl’ implements our method with a convenient, user-friendly interface...
• # Poltergeist

• Referenced in 2 articles [sw31228]
• numerically implemented via spectral methods (e.g. Fourier and Chebyshev). For the latter, Poltergeist relies ... highly accurate Fourier and Chebyshev approximations means spectrally fast convergence: one can calculate acims...
• # splib

• Referenced in 7 articles [sw35310]
• FORTRAN Routines for Spectral methods. Here is a collection of 80 FORTRAN routines that written ... with standard families of orthogonal polynomials (Legendre, Chebyshev and, more in general, Jacobi; Laguerre...
• # FCC

• Referenced in 1 article [sw24629]
• solution at the Chebyshev Gauss-Lobatto collocation points results in having spectral convergence and smaller ... computation time compared to finite difference methods. To accomplish this, a fractional differentiation matrix ... derived at the Chebyshev Gauss-Lobatto collocation points by using the discrete orthogonal relationship...
• # ClusterES

• Referenced in 10 articles [sw18311]
• eigenfunction expansion, we formulate a spectral method designed towards solving the Kohn-Sham equations ... artificial periodicity. The basis functions in this method form a complete orthonormal ... combination of preconditioned block eigensolvers and Chebyshev polynomial filter accelerated subspace iterations. Several algorithmic...
• # Algorithm 967

• Referenced in 6 articles [sw23693]
• sums with volume integrals. Particle $N$-body methods can be used to accelerate such integrals ... high-order piecewise Chebyshev polynomials and an octree data structure to represent the input ... output fields and enable spectrally accurate approximation of the near-field and the Kernel Independent...
• # PyCheb

• Referenced in 0 articles [sw16455]
• equations by using spectral collocation method. PyCheb incorporates discretization using Chebyshev points, barycentric interpolation...
• # pizza

• Referenced in 1 article [sw41177]
• geostrophic convection. We present a new pseudo-spectral open-source code nicknamed pizza ... azimuthal direction and supports both a Chebyshev collocation method and a sparse Chebyshev integration formulation...
• # RGCNN

• Referenced in 1 article [sw36662]
• that directly consumes point clouds. Leveraging on spectral graph theory, we treat features of points ... define the convolution over graph by Chebyshev polynomial approximation. In particular, we update the graph ... point cloud density in comparison with other methods. We further apply RGCNN to point cloud...