• QUADPACK

  • Referenced in 253 articles [sw01236]
  • evaluating definite integrals of functions of one variable, including singular integrands and infinite intervals...
  • RIM_DOM.F90

  • Referenced in 36 articles [sw25510]
  • Evaluation of regular and singular domain integrals with boundary-only discretization-theory and Fortran code ... dimensional and three dimensional, regular and singular domain integrals. A self-contained Fortran code ... only save considerable efforts in discretizing the integration domain into internal cells ... also make computational results for singular domain integrals more accurate since the integrals have been...
  • SecDec

  • Referenced in 32 articles [sw06834]
  • evaluation of multi-dimensional polynomial parameter integrals. Singularities regulated by dimensional regularisation are extracted using ... applied to multi-loop integrals in Euclidean space as well as other parametric integrals...
  • MBresolve

  • Referenced in 21 articles [sw10421]
  • resolution of singularities of multiple Mellin-Barnes integrals. One of the two existing strategies ... resolving singularities of multifold Mellin-Barnes integrals in the dimensional regularization parameter, or a parameter...
  • DECUHR

  • Referenced in 16 articles [sw02676]
  • DECUHR: An algorithm for automatic integration of singular functions over a hyperrectangular region. We describe ... functions that have a singularity on the surface of the integration region. The algorithm combines...
  • SingularIntegralEquations

  • Referenced in 8 articles [sw22771]
  • well-conditioned spectral method for singular integral equations. We develop a spectral method for solving ... univariate singular integral equations over unions of intervals by utilizing Chebyshev and ultraspherical polynomials...
  • SInt

  • Referenced in 5 articles [sw12689]
  • Computing some classes of Cauchy type singular integrals with Mathematica software. We construct an algorithm ... computing some classes of Cauchy type singular integrals on the unit circle. The design ... SIntAFact] algorithm for calculating several interesting singular integrals that cannot be computed by [SInt ... this paper. Several examples of nontrivial singular integrals computed with both algorithms are presented...
  • FDLIB

  • Referenced in 14 articles [sw00270]
  • fluid mechanics and scientific computation \lbrackBoundary integral and singularity methods for linearized viscous flow. Cambridge...
  • BEMECH

  • Referenced in 111 articles [sw10847]
  • elasto-plasticity; b) the formulation of boundary integral equations for elasto-plasticity; c) the description ... description of methods for evaluating singularities and solving nonlinear systems of equations; e) the description...
  • INSANE

  • Referenced in 4 articles [sw08848]
  • special integration schemes to treat nearly singular integrals become unnecessary. The self-regular formulations lead...
  • AMBRE

  • Referenced in 28 articles [sw00038]
  • multi-leg multi-loop scalar and tensor integrals. The package uses a loop-by-loop ... singularity structure in Ï”. The AMBRE package contains various sample applications for Feynman integrals with...
  • ASpecPaired-Matrix

  • Referenced in 2 articles [sw15022]
  • Spectra of Some Classes of Singular Integral Operators with Symbolic Computation. Spectral theory has many ... spectra of several classes of singular integral operators. For the one-dimensional case, nontrivial rational ... check, for each considered paired singular integral operator, if a complex number (chosen arbitrarily) belongs...
  • ASpecPaired-Scalar

  • Referenced in 2 articles [sw15023]
  • Spectra of Some Classes of Singular Integral Operators with Symbolic Computation. Spectral theory has many ... spectra of several classes of singular integral operators. For the one-dimensional case, nontrivial rational ... check, for each considered paired singular integral operator, if a complex number (chosen arbitrarily) belongs...
  • linequad

  • Referenced in 3 articles [sw38938]
  • linequad: Nearly singular quadrature for line integrals in 2D and 3D, using the ”singularity swap ... paper ”Accurate quadrature of nearly singular line integrals in two and three dimensions by singularity...
  • DifferentialAlgebra

  • Referenced in 10 articles [sw13540]
  • with respect to its integrability conditions, or determining its singular cases. Commands are also provided...
  • DEMCEM

  • Referenced in 2 articles [sw18839]
  • accurate and efficient evaluation of singular integrals arising in Galerkin EM surface integral equation formulations...
  • Algorithm 876

  • Referenced in 12 articles [sw12906]
  • Matlab program, Fie, that numerically solves Fredholm integral equations of the second kind ... order derivative, have a logarithmic singularity ... have an algebraic singularity. Fie also solves a large class of integral equations with moderately...
  • ellipticcovers.lib

  • Referenced in 8 articles [sw20805]
  • ellipticcovers.lib. A Singular 4 library for Gromov-Witten invariants of elliptic curves: Tropical mirror symmetry ... invariants of an elliptic curve with certain integrals over Feynman graphs. We prove a tropical ... Feynman graphs for which the corresponding integrals are zero. More generally, the tropical mirror symmetry ... theoretical results are complemented by a Singular package including several procedures that can be used...
  • Asymptotic-DLP

  • Referenced in 1 article [sw34463]
  • double-layer potentials. When using boundary integral equation methods to solve a boundary value problem ... that represent the solution are nearly singular integrals. To address this close evaluation problem ... asymptotic analysis of these nearly singular integrals and obtaining an asymptotic approximation. We derive...
  • Ial.m

  • Referenced in 5 articles [sw09626]
  • evaluating double integrals of the type indicated in the title. If the singularities occur only ... paper Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application...