• # LIMbook

• Referenced in 59 articles [sw14520]
• branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution ... only basic knowledge of numerical quadrature and Runge-Kutta methods, this self-contained book begins...
• # INTLAB

• Referenced in 471 articles [sw04004]
• validating algorithms. It comprises of self-validating methods for dense linear systems (also inner inclusions ... matrices) generalized eigenvalue problems (simple and clusters) quadrature for univariate functions univariate polynomial zeros (simple...
• # goodwin.f77

• Referenced in 22 articles [sw37144]
• that have not been well studied. A method is developed to compute these forms ... Gaussian quadrature, begins to fail. By using a simple matrix transformation, this method ... ability of 20-point Gaussian quadrature and our new method to obtain the maximum likelihood ... converge with 20-point Gaussian quadrature, whereas the new method allowed convergence...
• # ORTHPOL

• Referenced in 82 articles [sw00659]
• generating orthogonal polynomials and Gauss‐type quadrature rules. A collection of subroutines and examples ... uses, as well as the underlying numerical methods, are described for generating orthogonal polynomials relative ... zeros of orthogonal polynomials and Gauss-type quadrature rules, for which routines are also provided...
• # HyENA

• Referenced in 7 articles [sw20711]
• collocation methods for spatial discretization; Convolution Quadrature Method (CQM) for temporal discretization; Fundamental solutions...
• # Algorithm 840

• Referenced in 26 articles [sw04463]
• grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions ... prolate elements High order domain decomposition methods using a basis of Legendre polynomials, known variously ... bases: the grid points $x_j$, the quadrature weights $w_j$, and the values...
• # 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 ... spectral method. The algorithm to compute the interpolation points (and, if required, the quadrature weights...
• # KLT

• Referenced in 2 articles [sw41356]
• variety of decomposition, truncation, and quadrature methods. Extensive numerical testing is provided and an application...
• # GQRAT

• Referenced in 35 articles [sw00373]
• concern here is with Gauss-type quadrature rules that are exact for a mixture ... underlying theory is presented as well as methods for constructing such rational Gauss formulae. Relevant...
• # IQPACK

• Referenced in 7 articles [sw00450]
• weights of interpolatory quadratures We present FORTRAN subroutines that implement the method described ... stable evaluation of the weights of interpolatory quadratures with prescribed simple or multiple knots. Given...