• SIMSON

  • Referenced in 42 articles [sw13385]
  • using Chebyshev series. Time integration is performed using a third order Runge-Kutta method ... method is similar to the Fourier-Chebyshev method used by Kim et al. (1987). Further...
  • S-ROCK

  • Referenced in 41 articles [sw11792]
  • ROCK: Chebyshev methods for stiff stochastic differential equations. We present and analyze a new class ... SDEs). These methods, called S-ROCK (for stochastic orthogonal Runge-Kutta Chebyshev), are explicit ... much more efficient than the standard explicit methods proposed so far for stochastic problems...
  • LSRN

  • Referenced in 25 articles [sw09555]
  • iterative method. As we demonstrate, the Chebyshev method is particularly efficient for solving large problems...
  • Chebfun

  • Referenced in 412 articles [sw05897]
  • object-oriented MATLAB that extends familiar powerful methods of numerical computation involving numbers to continuous ... basis of the system combines tools of Chebyshev expansions, fast Fourier transform, barycentric interpolation, recursive...
  • chebop

  • Referenced in 33 articles [sw12693]
  • algorithms involved amount to spectral collocation methods on Chebyshev grids of automatically determined resolution...
  • IRKC

  • Referenced in 20 articles [sw00452]
  • family of implicit-explicit Runge-Kutta-Chebyshev methods which are unconditionally stable for reaction terms...
  • SERK2

  • Referenced in 11 articles [sw10426]
  • Kutta methods (also called Runge-Kutta-Chebyshev methods) were proposed to try to avoid these...
  • CheFSI

  • Referenced in 13 articles [sw22461]
  • Chebyshev-filtered subspace iteration method free of sparse diagonalization for solving the Kohn-Sham equation ... large scale problems. The Chebyshev-filtered subspace iteration (CheFSI) method avoids most of the explicit...
  • PIROCK

  • Referenced in 7 articles [sw10253]
  • knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems ... partitioned implicit-explicit orthogonal Runge-Kutta method (PIROCK) is proposed for the time integration ... explicit second order orthogonal Chebyshev method (ROCK2), while the stiff reaction terms (solved implicitly ... Numerical experiments and comparisons with existing Chebyshev methods, IMEX methods and partitioned methods show...
  • na15

  • Referenced in 6 articles [sw11491]
  • Shohat-Favard and Chebyshev’s methods in d-orthogonality. This paper is concerned with ... Shohat-Favard, Chebyshev and Modified Chebyshev methods for d-orthogonal polynomial sequences d∈ℕ. Shohat ... Favard’s method is presented from the concept of dual sequence of a sequence ... Chebyshev and the Modified Chebyshev methods for every d∈ℕ. The three methods are implemented...
  • HOLOMAC

  • Referenced in 9 articles [sw18067]
  • solved with a Runge-Kutta-Chebyshev method. The spatial discretisation is performed with high-order...
  • ScalFMM

  • Referenced in 17 articles [sw27617]
  • kernel independent fast multipole method based on interpolation ( Chebyshev or Lagrange). The library offers...
  • Chebpack

  • Referenced in 15 articles [sw09244]
  • equations. The Lanczos tau method is applied to find Chebyshev polynomial approximations for the solutions...
  • SSPS

  • Referenced in 5 articles [sw13163]
  • purpose of increasing the accuracy of discrete Chebyshev approximations of discontinuous functions by reducing ... used to implement a postprocessing method for the Chebyshev Collocation (Pseudospectral) or Chebyshev Spectral Viscosity...
  • PSOPT

  • Referenced in 8 articles [sw20700]
  • methods, including pseudospectral and local discretizations. Pseudospectral methods solve optimal control problems by approximating ... polynomials, such as Legendre or Chebyshev functions. Local discretization methods approximate the time dependent functions...
  • RESCU

  • Referenced in 3 articles [sw18285]
  • RESCU: A real space electronic structure method. In this work we present RESCU, a powerful ... subspace which is crucially required by Chebyshev filtering methods. Second, we exploit the fact that...
  • NSPCG

  • Referenced in 35 articles [sw00636]
  • basic preconditioners that are available are point methods such as Jacobi, incomplete $LU$ decomposition ... accelerators such as conjugate gradient (CG), Chebyshev (SI, for semi-iterative), generalized minimal residual (GMRES...
  • pizza

  • Referenced in 1 article [sw41177]
  • azimuthal direction and supports both a Chebyshev collocation method and a sparse Chebyshev integration formulation ... revealed the superiority of the Chebyshev integration method over the classical collocation approach both...
  • MISCFUN

  • Referenced in 3 articles [sw00578]
  • packages. The package uses Chebyshev expansions as the underlying method of approximation, with the Chebyshev...