• DDE-BIFTOOL

  • Referenced in 319 articles [sw02396]
  • connecting orbits are computed using piecewise polynomial collocation on adaptively refined meshes...
  • bvpsuite

  • Referenced in 25 articles [sw08540]
  • systems and the convergence behavior of polynomial collocation used as a basic solver...
  • Differentiation Matrix Suite

  • Referenced in 230 articles [sw12762]
  • solving differential equations by the spectral collocation (i.e., pseudospectral) method is presented. It includes functions ... barycentric formulas, and computing roots of orthogonal polynomials. It is demonstrated...
  • Algorithm 689

  • Referenced in 8 articles [sw13892]
  • Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second ... kind. The algorithm is based on polynomial spline collocation, with the possibility of combination with...
  • bvp5c

  • Referenced in 4 articles [sw20090]
  • collocation formula and the collocation polynomial provides a C1-continuous solution that is fifth-order...
  • PDDE-BIFTOOL

  • Referenced in 1 article [sw19540]
  • connecting orbits are computed using piecewise polynomial collocation on adaptively refined meshes...
  • UQToolbox

  • Referenced in 2 articles [sw20360]
  • support; Tools for Generalized Polynomial Chaos; Probabilistic Collocation Method; Multi-element ProbabilisticZCollocation Method; High Dimensional...
  • ReLaTIve

  • Referenced in 8 articles [sw07068]
  • polynomial-type methods of inversion of the Laplace transform, formally characterized as collocation methods...
  • Uncertainpy

  • Referenced in 2 articles [sw31267]
  • Monte Carlo methods and polynomial chaos expansions using either point collocation or the pseudo-spectral...
  • PSOPT

  • Referenced in 8 articles [sw20700]
  • package written in C++ that uses direct collocation methods, including pseudospectral and local discretizations. Pseudospectral ... approximating the time-dependent variables using global polynomials, such as Legendre or Chebyshev functions. Local...
  • Soft PARticle Code

  • Referenced in 4 articles [sw26068]
  • straightforward collocation numerical method based on strong formulation, in which a first order polynomial basis...
  • PCA_SA

  • Referenced in 1 article [sw38319]
  • spectral abscissa). The polynomial approximations are obtained by Galerkin and collocation approaches. In the Galerkin...
  • MEPCMP

  • Referenced in 1 article [sw33641]
  • This package can generate high-dimensional stochastic collocation points based on tensor product rule ... used for the multi-element probabilistic polynomial chaos method...
  • FCC

  • Referenced in 1 article [sw24629]
  • Lobatto collocation points by using the discrete orthogonal relationship of the Chebyshev polynomials. Then, using...
  • PoCET

  • Referenced in 1 article [sw33956]
  • Matlab, featuring the automatic generation of polynomial chaos expansion (PCE) for linear and nonlinear dynamic ... beta probability density functions, projection and collocation-based calculation of PCE coefficients, and the calculation ... paper we show how to perform a polynomial chaos expansion on a simple ordinary differential...
  • dynopt

  • Referenced in 2 articles [sw29118]
  • solved via total discretisation with orthogonal collocations on finite elements That is, both the original ... coefficients of the linear combinations. Lagrange interpolation polynomials are used. In addition, each segment...
  • CGPOPS

  • Referenced in 1 article [sw35933]
  • employs a Legendre-Gauss-Radau direct orthogonal collocation method to transcribe the continuous optimal control ... intervals and the degree of the approximating polynomial within each mesh interval to achieve...
  • ADOL-C

  • Referenced in 244 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • AMD

  • Referenced in 55 articles [sw00039]
  • Algorithm 837: AMD is a set of routines...