• # SingularIntegralEquations

• Referenced in 10 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...
• # BEMECH

• Referenced in 119 articles [sw10847]
• 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...
• # Algorithm 876

• Referenced in 13 articles [sw12906]
• program, Fie, that numerically solves Fredholm integral equations of the second kind on an interval ... order derivative, have a logarithmic singularity, or have ... algebraic singularity. Fie also solves a large class of integral equations with moderately smooth kernel...
• # DifferentialAlgebra

• Referenced in 11 articles [sw13540]
• RosenfeldGroebner function, which permits triangularizing a differential equation system so that it can be solved ... with respect to its integrability conditions, or determining its singular cases. Commands are also provided ... computing formal power series solutions to differential equation systems is PowerSeriesSolution. Other commands for analyzing...
• # ODE-IVP-PACK

• Referenced in 6 articles [sw09345]
• indefinite integration. The numerical method is efficient for a general class of differential equations ... excels for problem solutions with endpoint singularities. It can also treat stiff and boundary layer...
• # Racoon

• Referenced in 16 articles [sw08867]
• both in connection with Runge–Kutta type integrators. Parallel execution is achieved through a configurable ... three-dimensional test computations for the Euler equations have been carried out and show good ... currently used to study the formation of singularities in plasmas and fluids...
• # sunem

• Referenced in 7 articles [sw10416]
• fast numerical evaluation of the two Master Integrals (MIs) of the equal mass two-loop ... solving the corresponding differential equations for the MIs at their singular points. With a maximum...
• # Asymptotic-DLP

• Referenced in 2 articles [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 ... interior Dirichlet problem for Laplace’s equation. By doing so, we obtain an asymptotic approximation...
• # INSANE

• Referenced in 5 articles [sw08848]
• displacement boundary integral equation, and the Somigliana’s integral identities for displacement, stress and strain ... eliminated and thus special integration schemes to treat nearly singular integrals become unnecessary. The self...
• # InitDAE

• Referenced in 4 articles [sw35960]
• computes consistent initial values of differential–algebraic equations (DAE), determines their index and a related ... condition number that permits the diagnosis of singularities. The algorithm for the consistent initialization uses ... discuss future possibilities, in particular the integration with Taylor series methods...
• # disproots

• Referenced in 4 articles [sw22276]
• globally convergent root search method for transcendental equations guaranteed to locate all complex roots within ... exist, ours has several advantages: it allows singularities within the search domain and branch points ... MATLAB, fulfilling the need for an easily integrated implementation which can be readily modified...
• # BEMDYN

• Referenced in 1 article [sw01190]
• program is based on a boundary integral equation that relates to the Laplace transformed boundary ... optimal integration scheme is proposed and novel analytical expressions for the singular integrals are given...
• # FastMag

• Referenced in 1 article [sw36967]
• presented. FastMag solves the Landau-Lifshitz-Gilbert equation and can handle multiscale problems with ... analytical integration for overlapping elements in which the integral kernel is singular. Thus, discretized superposition ... require solving a linear system of equations, and requires little memory. FastMag is implemented...