
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 boundaryonly discretizationtheory and Fortran code ... dimensional and three dimensional, regular and singular domain integrals. A selfcontained 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 multidimensional polynomial parameter integrals. Singularities regulated by dimensional regularisation are extracted using ... applied to multiloop integrals in Euclidean space as well as other parametric integrals...

MBresolve
 Referenced in 21 articles
[sw10421]
 resolution of singularities of multiple MellinBarnes integrals. One of the two existing strategies ... resolving singularities of multifold MellinBarnes 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]
 wellconditioned 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]
 elastoplasticity; b) the formulation of boundary integral equations for elastoplasticity; 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 selfregular formulations lead...

AMBRE
 Referenced in 28 articles
[sw00038]
 multileg multiloop scalar and tensor integrals. The package uses a loopbyloop ... singularity structure in Ï”. The AMBRE package contains various sample applications for Feynman integrals with...

ASpecPairedMatrix
 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 onedimensional case, nontrivial rational ... check, for each considered paired singular integral operator, if a complex number (chosen arbitrarily) belongs...

ASpecPairedScalar
 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 onedimensional 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 âsingularity swap ... paper âAccurate 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 GromovWitten 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...

AsymptoticDLP
 Referenced in 1 article
[sw34463]
 doublelayer 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...