• ORTHPOL

  • Referenced in 82 articles [sw00659]
  • uses, as well as the underlying numerical methods, are described for generating orthogonal polynomials relative...
  • NSDTST

  • Referenced in 79 articles [sw10818]
  • that were used for the comparison of methods, the details and objectives of the current ... efficiency and reliability of a standard numerical method without requiring significant modifications to the method...
  • STDTST

  • Referenced in 79 articles [sw10819]
  • that were used for the comparison of methods, the details and objectives of the current ... efficiency and reliability of a standard numerical method without requiring significant modifications to the method...
  • ALEA

  • Referenced in 55 articles [sw10167]
  • ALEA - a python framework for spectral methods and low-rank approximations in uncertainty quantification. ALEA ... intended as a research framework for numerical methods in Uncertainty Quantification (UQ). Its emphasis lies ... methods; stochastic Galerkin FEM; adaptive numerical methods; tensor methods for UQ. Most of these areas...
  • Sinc-Pack

  • Referenced in 74 articles [sw13600]
  • Handbook of Sinc numerical methods. With CD-ROM. This book deals with the approximation ... sinc functions and the application to the numerical solution of partial differential equations. It contains ... theory – 2. Sinc convolution-boundary integral equation methods for partial differential equations (PDEs) and integral...
  • CMA-ES

  • Referenced in 120 articles [sw05063]
  • strategies (ES) are stochastic, derivative-free methods for numerical optimization of non-linear ... covariance matrix adaptation (CMA) is a method to update the covariance matrix of this distribution...
  • LIMbook

  • Referenced in 54 articles [sw14520]
  • Line Integral Methods for Conservative Problems. The book explains the numerical solution of differential equations ... 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 ... introduction to the line integral methods. It describes numerous Hamiltonian problems encountered in a variety...
  • benchmodred

  • Referenced in 65 articles [sw27644]
  • used to test and compare numerical methods for model reduction. All systems can be downloaded...
  • LYAPACK

  • Referenced in 63 articles [sw12624]
  • research has been done on efficient numerical methods for control problems related to large sparse...
  • FODE

  • Referenced in 296 articles [sw08377]
  • Numerical algorithm for the time fractional Fokker-Planck equation. Anomalous diffusion ... approach with the method of lines, the algorithm is designed for numerically solving FODE with...
  • Anderson

  • Referenced in 89 articles [sw15192]
  • studied by the mathematics and numerical analysis communities, this method has received relatively little attention ... paper by H. Fang and Y. Saad [Numer. Linear Algebra Appl ... Anderson acceleration to quasi-Newton (secant updating) methods and extended it to define a broader ... essentially equivalent to the Arnoldi (full orthogonalization) method. We then discuss practical considerations for implementing...
  • Boltzmann

  • Referenced in 45 articles [sw07008]
  • High order numerical methods for the space non-homogeneous Boltzmann equation. In this paper ... present accurate methods for the numerical solution of the Boltzmann equation of rarefied ... space) positive and flux conservative (PFC) method. The collision step is treated by a Fourier ... time. Several numerical tests illustrate the properties of the methods...
  • S-ROCK

  • Referenced in 41 articles [sw11792]
  • analyze a new class of numerical methods for the solution of stiff stochastic differential equations ... algebra problems usually encountered with implicit methods. Numerical results and comparisons with existing methods...
  • Taylor

  • Referenced in 96 articles [sw10816]
  • numerical integration of ODEs by means of high-order Taylor methods ... This paper revisits the Taylor method for the numerical integration of initial value problems ... computer program that outputs a specific numerical integrator for a given set of ODEs ... main drawback is that the Taylor method is an explicit method...
  • RIPPLE

  • Referenced in 57 articles [sw30642]
  • with the weakly monotonic, second order upwind method of van Leer. Flow obstacles and curved ... describe the model equations, the numerical method, and the structure of the computer program. Example...
  • GiD

  • Referenced in 55 articles [sw07799]
  • problem in science and engineering using numerical methods: structured, unstructured or particle based meshes, boundary ... loading conditions, material types, visualization of numerical results, etc. Adaptive: GiD is extremely easy...
  • ReALE

  • Referenced in 113 articles [sw18074]
  • demonstrate performance of our new method on series of numerical examples and show it superiority...
  • Chaste

  • Referenced in 52 articles [sw00122]
  • this paper, we begin by reviewing numerical methods currently in use for solving the bidomain...
  • tn

  • Referenced in 140 articles [sw05140]
  • nonlinear conjugate-gradient-type method and a modified Newton direction. Numerical results are given which...
  • NewtonLib

  • Referenced in 298 articles [sw04796]
  • Numerical Mathematics - NewtonLib. Software repository for Peter Deuflhards Book ”Newton Methods for Nonlinear Problems -- Affine...