• FODE

  • Referenced in 296 articles [sw08377]
  • numerically solving FODE with the numerical error $O(k^{min{1+2alpha ... condition is got. The effectiveness of this numerical algorithm is evaluated by comparing its numerical...
  • LSQR

  • Referenced in 394 articles [sw00530]
  • favorable numerical properties. Reliable stopping criteria are derived, along with estimates of standard errors ... FORTRAN implementation of the method, subroutine LSQR. Numerical tests are described comparing LSQR with several...
  • ML

  • Referenced in 96 articles [sw20907]
  • algorithm selects the region in which the numerical inversion of the Laplace transform is actually ... computational effort and the errors are minimized. Numerical experiments are presented to show accuracy...
  • mfem

  • Referenced in 50 articles [sw22316]
  • Thomas MFEM with a posteriori error control. The numerical approximation of the Laplace equation with ... modification in education and research. A posteriori error control with a reliable and efficient averaging ... discretization error. Therein, emphasis is on the correct treatment of mexed boundary conditions. Numerical examples...
  • dReal

  • Referenced in 30 articles [sw07157]
  • input formulas, where δ is a numerical error bound specified by the user. dReal also...
  • ABF++

  • Referenced in 27 articles [sw14153]
  • flattening. Conformal parameterization of mesh models has numerous applications in geometry processing. Conformality is desirable ... quite time-consuming and becomes error ... prone for large meshes due to numerical error accumulation. This work presents ABF++, a highly ... three main components: (1) a new numerical solution technique that dramatically reduces the dimension...
  • Voro++

  • Referenced in 46 articles [sw18065]
  • employs algorithms that are tolerant for numerical precision errors, it exhibits high performance...
  • SLICOT

  • Referenced in 84 articles [sw01095]
  • systems and control theory. Based on numerical linear algebra routines from BLAS and LAPACK libraries ... reliable results or an error or warning indicator; 3. numerical stability and accuracy: the results...
  • Adaptative L1 TE and Predictive

  • Referenced in 19 articles [sw32154]
  • scales, which leads to quite inhomogeneous numerical errors. A natural way to address these difficulties ... level to be set for the numerical errors that turns out to be a good...
  • bootlib

  • Referenced in 426 articles [sw40642]
  • analysis using simulation to obtain reliable standard errors, confidence intervals, and other measures of uncertainty ... date coverage of bootstrap methods with numerous applied examples, together with the basic theory without...
  • IFISS

  • Referenced in 253 articles [sw04398]
  • graphical Matlab package for the interactive numerical study of incompressible flow problems. It includes algorithms ... mixed finite element methods and a posteriori error estimation of the computed solutions. The package...
  • VanHuffel

  • Referenced in 222 articles [sw05243]
  • errors. It is also known as the errors-in-variables model. The renewed interest ... development of computationally efficient and numerically reliable TLS algorithms. Much attention is paid in this...
  • TR-BDF2

  • Referenced in 33 articles [sw03446]
  • extension, implementation and on improved local error estimates. Numerical examples show the effectiveness...
  • CADNA

  • Referenced in 47 articles [sw00098]
  • round-off error propagation using a probabilistic approach. With CADNA the numerical quality ... performed. CADNA provides new numerical types on which round-off errors can be estimated. Slight...
  • SEL/HiFi

  • Referenced in 15 articles [sw22337]
  • Spectral element spatial discretization error in solving highly anisotropic heat conduction equation. This paper describes ... computational grid directionality on the accuracy of numerical solutions of a highly anisotropic thermal diffusion ... results in exponential reduction of the numerical error. The alignment of the grid with ... solution. These effects are qualitatively explained and numerically quantified in 2- and 3-dimensional calculations...
  • DiffSharp

  • Referenced in 95 articles [sw16033]
  • different from numerical differentiation, which is prone to truncation and round-off errors, and symbolic...
  • MIRKDC

  • Referenced in 36 articles [sw07159]
  • therefore be implemented very efficiently for the numerical solution of boundary value problems.par This publication ... standard global error control, mesh selection). Extensive numerical tests with a newly developed code MIRKDC...
  • ALBERTA

  • Referenced in 179 articles [sw01061]
  • finite element toolbox using Bisectioning refinement and Error control by Residual Techniques for scientific Applications ... scientific and engineering computation, especially in the numerical simulation of electromagnetics. But the nature...
  • numerov

  • Referenced in 30 articles [sw24970]
  • method with reduced phase errors. We proceed with numerical tests using quadruple precision arithmetic...
  • NEW9p

  • Referenced in 28 articles [sw24971]
  • method with reduced phase errors. We proceed with numerical tests using quadruple precision arithmetic...