• LKH

  • Referenced in 148 articles [sw04735]
  • improved the best known solutions for a series of large-scale instances with unknown optima...
  • Bertini

  • Referenced in 253 articles [sw06683]
  • accurately compute solutions ”at infinity.” Provides a fractional power-series endgame to accurately compute singular...
  • alphaBB

  • Referenced in 49 articles [sw06249]
  • original region and the subsequent solution of a series of nonlinear convex minimization problems...
  • DifferentialAlgebra

  • Referenced in 11 articles [sw13540]
  • differential equations and computing formal power series solutions for them. The underlying theory ... command for computing formal power series solutions to differential equation systems is PowerSeriesSolution. Other commands...
  • SLEP

  • Referenced in 41 articles [sw13487]
  • that efficiently compute the pathwise solutions corresponding to a series of regularization parameters...
  • Rif

  • Referenced in 8 articles [sw12338]
  • existence of formal power series solutions of a system, and a command to generate formal ... power series solutions of a system...
  • RAEEM

  • Referenced in 14 articles [sw00773]
  • package for finding a series of exact traveling wave solutions for nonlinear evolution equations ... entirely automatically output a series of exact traveling wave solutions, including those of polynomial, exponential...
  • RationalFirstintegrals

  • Referenced in 8 articles [sw14472]
  • calculation of a power series solution of a first order differential equation and the reconstruction ... bivariate polynomial annihilating this power series. We provide explicit bounds on the number of terms...
  • ScaLAPACK

  • Referenced in 417 articles [sw00830]
  • parScaLAPACK includes routines for the solution of dense, band, and tridiagonal linear systems of equations ... Cray T3, IBM SP, Intel series, TM CM-5, clusters of workstations, and any system...
  • FGH

  • Referenced in 6 articles [sw10275]
  • series solutions can lead to loss of accuracy due to cancellation effects. FGH provides...
  • lsjk

  • Referenced in 7 articles [sw08490]
  • These functions appear in Feynman integrals. Solution method: Series representation for the real argument...
  • Lyap

  • Referenced in 6 articles [sw00531]
  • form of a time series is available. Solution method: The time series is approximated...
  • TIDES

  • Referenced in 40 articles [sw06664]
  • called TIDES, based on the classical Taylor series method and using an optimized variable-stepsize ... libraries for high precision when needed) the solution of an ODE system. The software ... derivatives, up to any order, of the solution with respect to the initial conditions ... This is based on the extended Taylor series method for sensitivity analysis...
  • ReALE

  • Referenced in 113 articles [sw18074]
  • remapping phase in which the Lagrangian solution is transferred (conservatively interpolated) onto the new grid ... demonstrate performance of our new method on series of numerical examples and show it superiority...
  • OxMetrics

  • Referenced in 14 articles [sw00664]
  • providing an integrated solution for the econometric analysis of time series, forecasting, financial econometric modelling...
  • LieSYMGRP

  • Referenced in 3 articles [sw13621]
  • Approximate symmetries and infinite series symmetry reduction solutions to perturbed Kuramoto-Sivashinsky equation. Starting from ... symmetry reduction and the infinite series symmetry reduction solutions of the perturbed KS equation...
  • DynamicPrevariety

  • Referenced in 4 articles [sw19962]
  • polyhedral methods to compute positive dimensional solution sets of polynomial systems. In particular, pretropisms ... leading exponents for the power series developments of the solutions. The computation of the power...
  • MieSolver

  • Referenced in 2 articles [sw35941]
  • solver is based on the Mie series solution for scattering by a single circular cylinder...
  • Fuchsia

  • Referenced in 20 articles [sw22363]
  • Feynman master integrals may be calculated from solutions of a linear system of differential equations ... easily solved as an e -series when its epsilon form is known. Hence, a tool ... used to evaluate Feynman master integrals. Solution method: The solution method is based...
  • RPSM

  • Referenced in 2 articles [sw29864]
  • Analytical solution of fractional Burgers-Huxley equations via residual power series method. This paper ... aimed at constructing fractional power series (FPS) solutions of fractional Burgers-Huxley equations using residual ... combining Taylor’s formula series with residual error function. The solutions of our equation ... computed in the form of rapidly convergent series with easily calculable components using Mathematica software...